An architect designs two similar triangular patios. The first patio has angle measures of (x + 10)°, (y + 5)°, and 40°. The second patio has angle measures of (x – 10)°, 60°, and 80°. Find the values of x and y.
HELPPPP PRETTY PLEASEEE ASAP

Answers

Answer 1

Answer: x=230 and y=75

Step-by-step explanation: A triangle is worth 360 degrees, which means when you add up all the angles it equals 360 degrees. So

Second patio:

(x-10),60+80 = 360

x-10+140 =360-140

x-10=220+10

x=230

First patio:

(x+10)+(y+5)+40 = 360

x+y+55=360

x+y=360-55

x+y=305- x(230) =75

y=75

Answer 2

Answer: x = 50, y = 75

The sum of angles of a triangle is equal to 180°

according to the question, (x+10) + (y+5) + 40 = 180 -- eq(1)

(x-10) + 60 + 80 = 180 -- eq(2)

(x - 10) + 140 = 180

x - 10 +140 = 180

x + 130 = 180 , x = 180 - 130

x = 50

put x value in eq(1)

50+10 + (y+5) + 40 = 180

60+(y+5)+40 = 180

y+5 +100 = 180

y + 105 = 180

y = 180 - 105

y = 75

So, x = 50 and y = 75.

To learn more about triangles,

https://brainly.com/question/25215131


Related Questions

Help this is due tomorrow!! Thanks!​

Answers

For two cups of sugar, you need 1 cup of lemon juice

For 10 cups of sugar, 5 cups

For 5 cups of sugar, 2 and a half cups.

Hope this helps

2 -> 1
10 -> 5
5 -> 2 1/2

PLEASE HELP
Evaluate.

(jk−1)+j when j=−4 and k=5

Enter your answer as a decimal in the box.

Answers

Answer:

it's -21

Step-by-step explanation:

(-4)(5(-1)

-20-1

-21

The answer should be -21

Here is a flower made up of yellow hexagons, red trapezoids, and green triangles. How many copies of this flower pattern could you build if you had 6 yellow hexagons, 2 red trapezoids, and 9 green triangles?

Answers

Answer:

Step-by-step explanation:Answer:

Part a) You could build 5 copies of the flower pattern  

Part b) You would have 40 red trapezoids left over

Step-by-step explanation:

The complete question in the attached figure

Part a)

Let

x -----> the number of yellow hexagons

y ----> the number of red trapezoids

z ----> the number of green triangles

we know that

The flower pattern has the following ratios

Find out how many copies of this flower pattern could you build if you had 30 yellow hexagons,50 red trapezoids, and 60 green triangles

1) For x=30

Divide 30 by 6 (remember that in one pattern there are 6 yellow hexagons)

Verify the quantity of y needed and the quantity of z needed

Find the value of y

10 < 50 ----> is ok

Find the value of z

45<60 --->is ok

2) For y=50

Divide 50 by 2 (remember that in one pattern there are 2 red trapezoids)

Verify the quantity of x needed and the quantity of z needed

Find the value of x

150 > 30 ----> is not ok

3) For z=60

Divide 60 by 9 (remember that in one pattern there are 9 green triangles)

60/9=6.7 copies

Round down

6 copies -----> 6(9)=54 green triangles

Verify the quantity of x needed and the quantity of y needed

Find the value of x

36> 30 --->is not ok

therefore

You could build 5 copies of the flower pattern

Part b)

we know that

x:y:z=6:2:9

If you build 5 copies

1) You would use 5*6=30 yellow hexagons and you would have 0 hexagons left over

2) You would use 5*2=10 red trapezoids and you would have (50-10=40) trapezoids left over

3) You would use 5*9=45 green triangles and you would have (60-45=15) triangles left over

therefore

You would have 40 red trapezoids left over

There are 40 students in Joan’s class. She plans to invite them to her birthday party. She asked them to suggest a theme for her party. Three of every eight students suggested a rainbow-themed party. How many students suggested a rainbow-themed party? How many did not?

Answers

Answer:

15 people suggested, 25 did not

Step-by-step explanation:

3 of every 8 so 3:8

There is 40 students in total, so 40/8=5. 5*3=15

15 people suggested, 25 did not

Answer:

15 students suggested a rainbow-themed party.

25 students did not suggest a rainbow-themed party.

Step-by-step explanation:

40 students

3 out of every 8 students suggested rainbow them

40/8 = 5

5 groups = 40 students

1 group = 8 students

3 × 5 (amount of groups) = 15

15 students suggested a rainbow-themed party.

40 - 15 = 25

25 students did not suggest a rainbow-themed party.

Estimate and then solve 8,784 ÷ 61 = ___.
a
133

b
134

c
143

d
144

Answers

Answer:

Step-by-step explanation:

8,800


60

= 144 (d)

i used my calculator and it’s 144

If it took 8 hours to mow 10 lawns, then at that rate, how many lawns could be mowed in 16 hours?

Answers

Answer:

You could mow 20 yards in 16 hours.

Step-by-step explanation:

You can mow 20 yards in 16 hours because half of 16 is 8 and in the question it says that it took 8 hours to mow 10 yards and 8x2=16 so if you multiply 10 by 2 then you would get your answer, 20 yards.

Answer:

20

Step-by-step explanation:

we can find it by using proportions which is the harder way

16/8=x/10

16(10)=8x

160=8x

/8. /8

20=x

20 lawns

The easiest way is that was know 10 lawns is from 8 hours and if we divide 16 by 8 we get 2 so we just have to multiply the 10 lawns by 2 to get 20

Hopes this helps please mark brainliest

help asap!!!!!! please and thank youuuuu

Answers

Answer:

156°

Explanation:

For this question use the formula "(n-2) x 180°" where n is the number of sides in a regular polygon, and divide the answer by the number of sides.

15 sides(15-2) x 180 = 2,340°2,340 / 15 = 156°
Answer 156 because if we use a protracted measurement it will be the answer

Write 756 as an exponent expression

Answers

Answer:

756 in scientific notation is 7.56x10^2

Step-by-step explanation:

Answer:

7.56x10^2

Step-by-step explanation:

Which set of side length measurements in meters does NOT make a right triangle?

A. 9m, 11m, 13m
B. 18m, 24m, 30m
C. 7m, 24m, 25m
D. 20m, 21m, 29m

Answers

C doesn’t make it a right angled triangle

The set of side lengths which does not form a right triangle is 9m, 11m, 13m

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

AB = 9 m

BC = 11 m

AC = 13 m

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AC² = AB² + BC²

On simplifying , we get

13² = 9² + 11²

169 ≠ 81 + 121

Hence , the sides 9m, 11m, 13m does not form a right triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

You put $8,185.06 into a savings account with an interest rate of 0.7% which earns $114.59 over a period of time. How long was the period of time?

Answers

Answer:

42.57

Step-by-step explanation:

First you need to add, and then simplify

Add then simplify so the answer is 42.57

HELPPPMHURRY. PLEASEEE

Answers

Answer:

The constant of proportionality is 2.19

Step-by-step explanation:

$6.57 ÷ 3 = $2.19

Answer: 2.19

Step-by-step explanation: the equation to solve this is y/x= cost per pound (6.57/3=c)

6.57 divided by 3 = 2.19 per pound

Begging for HELP please been working on thus for 3 days and just can't make it click. please help

A) Write the letter of the graph that matches each equation below. If there is no match, none

i. y = 16x

ii. y = .25x

iii. y = 4.5x

iv. y = .05x

v. y = 10x + 1


(b) Find an equation for an exponential function that lies between graph A and graph B in the

second quadrant.


(c) Find an equation for the function that is parallel to E and has a y-intercept of (0,-4).


(d) Find an equation for an exponential function that has a greater constant percent rate of change than graph C.


(e) Find the equation of the line that is perpendicular to E and has a y-intercept of (0,5).​

Answers

Answer: here

Step-by-step explanation:

A) f(x) = 3(x + 2)(x - 5)2 B) f(x) = -3(x - 2)'(x + 5)3 C) f(x) = -2(x - 5)(x - 2)2 D) f(x) = (x + 1)(x - 1)(x + 3) 1000 2000 800! Equation: Equation: Equation: Equation: 11. Write a fourth-degree polynomial that has 3,-2 and 4 – 3i as roots and a leading coefficient of 1

HELP

Question
Evaluate:

(4 + 3m) - n when m = 2 and n = 7

Enter answer in box.

Answers

Answer:

I'm not the best at math but I think it's 7

Step-by-step explanation:

4+3(2)-7

7(2)-7

14-7

7

The answer is 3

Step by step:

Start with (4 + 3(2) - 7

Start with the multiplication in the parentheses to make (4+6) - 7

Finish the parentheses to get 10 - 7

10-7=3

Question on photo, Ty!!

Answers

Answer:

It is the 2nd one and the 4th one

Answer:

put 2 and 4 its soooo easyy

Estimate the cube root of 65 to the nearest integer.​

Answers

4 or 4.2 for the answer
the answer is 4 (if you need a whole number) or 4.02 (if you need two decimal places)

Urgent!! Question on photo

A. X = 10, y = 6, z = 8
B. X = 4, y = 2, z = 3
C. X = 9, y = 5, z = 7
D. X = 7, y = 3, z = 4

Answers

Answer:

A. X = 10, y = 6, z = 8

Step-by-step explanation:

x^2=y^2+z^2

100=36+64

X=10 Y=6 X =8……………………………

Find the area of a circle with a radius of 7m. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The answer is 154 m2

Answer:153.93804

Step-by-step explanation: Multiply radius by itself then multiply by pi

Pearl's father was 28 when Pearl was 6 years old. Pearl's father is now twice as old as Pearl. How old is Pearl?

Answers

Answer:

22

Step-by-step explanation:

the age difference between 28-6 is 22 years

And the only time you are double the age of something the younger one is the age of the age difference so Pearl is 22 and her father is 44

Hopes this helps please mark brainliest

Answer: Pearl is 22

Step-by-step explanation:

The first number is Pearl's age and the second is her father's. 6 and 28, 7 and 29, 8 and 30, 9 and 31, 10 and 32, 11 and 33, 12 and 34, 13 and 35, 14 and 36, 15 and 37, 16 and 38, 17 and 39, 18 and 40, 19 and 41, 20 and 42, 21 and 43, 22 and 44. 22×2=44 Hope this helps.

Can you please help me?

Answers

Answer: 18

Step-by-step explanation:

x is the number we need to find

We have this equation :

2 ( 3x - 10 ) + 2 = 5x

= 6x - 20 + 2 = 5x

= -20 + 2 = 5x - 6x

= -18 = -1x

x = -18 ; 18

Hope it helps !

Answer: the original number is 18

Step-by-step explanation:

What are the domain and range of the function f of x is equal to the quantity x squared plus 6x plus 8 end quantity divided by the quantity x plus 4 end quantity?

Answers

Answer:

The domain is all values of

x

that make the expression defined.

Interval Notation:

[

0

,

)

Set-Builder Notation:

{

x

|

x

0

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

0

,

)

Set-Builder Notation:

{

y

|

y

0

}

Determine the domain and range.

Domain:

[

0

,

)

,

{

x

|

x

0

}

Range:

[

0

,

)

,

{

y

|

y

0

}

The answer to this would be all values of x

The graph shows the proportional relationship between the number of gems collected and the number of levels that have been completed in a video game.


Graph with x axis labeled game levels and y axis labeled gems collected. A line begins at 0 comma 0 and goes through points 6 comma 450 and 8 comma 600.

p equals 2 over 150

p = 0.0133

p = 75

p = 150

Answers

Answer:

the answer is 150 I'm pretty sure

distribute the exponent (2a/p^2*q^3)^2

Answers

[tex]\left( \cfrac{2a}{p^2}\cdot q^3 \right)^2\implies \left( \cfrac{2^2a^2}{p^{2\cdot 2}}\cdot q^{3\cdot 2} \right)\implies \cfrac{4a^2q^6}{p^4}[/tex]

Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Write your answer as a decimal or a whole number.

Answers

Answer:

122/2=61mph

96/1.5=64mph

3 mph more

Answer:

3 Miles

Step-by-step explanation:

Each different letter in this multiplication problem stands for a different digit. Reconstruct
the problem and find the value of NAG.

DID
x I
———
NAG

Answers

Answer:

242 × 4 = 968NAG = 968

Step-by-step explanation:

You want the digits assigned to A, D, G, I, N to satisfy the multiplication problem DID·I = NAG.

Solution

Neither D nor I can be 1, because their product is G (not D or I). There can be no carry from that product. (If there were, the result would have 4 digits, not 3.) This means the least significant digit of I·I must be A, and that product must be more than 10.

  I² > 10   ⇒   I ≥ 4

  I ≥ 4   ⇒   D = 2, G = 8 and I = 4

Then we have ...

  DID × I = NAG   ⇒   242 × 4 = 968

The value of NAG is 968.

Answer:

NAG = 968

242 * 4 = 968


2 = D

4 = I

Are these expressions equivalent? 4+7−3^2 Response area 2^3−5 ≠ =

Answers

These expressions are now equal
(Order of operations PEMDAS = Parentheses, exponents, multiplication, division, addition, subtraction)
4+7-3^2= 5

2^3-5= 1

Enrollment in a business seminar increased from 78 people to 90 people. What was the percent of the increase? Round to the nearest tenth of a percent.

Answers

15.4% (15.3846% to be exact)

Could someone help me answer all four questions? I really need it

Answers

Use a graphing calculator

could u add more detail plss if it doesn't bother u
but I think the answers are ok sojts divide each number . thne do the answers on the paper hope that helps

Angie bikes for 20 minutes burning 150 calories. How many minutes will it take to burn 525 calories?

Answers

Answer:

70 minutes OR 1 hour and 10 minutes (it's the same thing)

Step-by-step explanation:

So this can be modeled by the equation 20/150=x/525

so solving for x, you have to say whats the most times that 150 will go into 525 without going over

the answer is 3

so 150x3=450 and 525-450=75

75 is one half of 150 so it would be 3.5

multiply 20 by 3.5 and you get 70 or 1 hour and 10 minutes since an hour is 60 minutes

Don't forget to give brainliest :)

70 min

Work:

20/150=7.5 Move the decimal

75x7=525

HELP MEEE
Question
Evaluate:

3(d+e) when d =2 and e =3

Enter answer in the box.

Answers

Answer:

positive 15

Step-by-step explanation:

3(2+3)

3(5)

15

3(2)=6
3(3)=9
6+9=15

the answer is 15

Marissa baked 371 desserts in 9 1/3 months. Find marissa’s desserts making rate in desserts per month

Answers

Answer:

39 3/4

Step-by-step explanation:

371 divided by 9 1/3 is 39.75 so converted to a fraction its 39 3/4

39 3/4
Hope this helps
Other Questions
FAST How did the patriots use the event to help gain support Which type of cytokine signals white blood cells to move toward a site of infection?. your sister earns $30 per day selling clothes at the market, but in order to sell at the market, she has to pay $60 to get a license. You earn $20 per day helping rake your neighbors' lawns. How many days will it take for your sister to earn as much as you? Explain why we need to doelectrolysis of sodium chloride BEFORE we do electrolysis of copper chloride. how does the un framework convention on climate change aid cooperation on the reduction of greenhouse gas emissions? help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! One motorcycle travels 80 mph and the second motorcycle travels 60 mph. if the faster motorcycle travels 1 hr longer than the slower motorcycle and it also travels twice the distance of the slower motorcycle, what distance does each motorcycle travel? An author claims that internet usage and screen time for teens should be decreased. They provide the following reason as support:According to Time magazine, teen cell phone ownership has increased by 40 percent in the last few years. Teens spend an average of seven hours a day on their computers, phones, and tablets. Studies have found that due to this increase in screen time, teens are less likely to have close friendships and tend to be unhappier than those who do not spend as much time online.Which choice describes the support the author provides? It is effective. It supports the claim clearly and logically with evidence. It is emotional. It expresses personal feelings that cannot be backed with research. It is irrelevant. It discusses a fact that is off topic and does not support the claim. It is unverified. It does not cite a source to show where the information was found. Amanda has 5 office assistants. If A is the event that at least 4 of them are men and B is the event that at least 4 of them are women, are A and B mutually exclusive?Choose the correct answer below.O NoYes Which term applies to an individual who possesses two recessive alleles for the same trait? Choose the correct answer.O mutatedO haploid for the traitO homozygous for the traitheterozygous for the trait SHORT RESPONSE Read the following excerpt from "Exhalation" by Ted Chiang:I had a different suspicion, a darker one that I dared not voice, butit decided my course of action; I would proceed with myexperiment....Assembling all of this equipment took months, but I could notafford to be anything less than meticulous. Once thepreparations were complete, I was able to place each of myhands on a nest of knobs and levers and control a pair ofmanipulators situated behind my head, and use the periscope tosee what they worked on. I would then be able to dissect my ownbrain....We are not really consuming air at all. The amount of air that Idraw from each day's new pair of lungs is exactly as much asseeps out through the joints of my limbs and the seams of mycasing, exactly as much as I am adding to the atmospherearound me; all I am doing is converting air at high pressure to airat low. With every movement of my body, I contribute to theequalization of pressure in our universe. With every thought that Ihave, I hasten the arrival of that fatal equilibrium.Identify two themes conveyed in this excerpt. How do these themes develop over thecourse of the story? Be sure to refer to examples from the excerpt or story tosupport your analysis. You will write two paragraphs about the theme of a literary text from this unit and how it develops as well as the way the elements of the text interact, impact, and shape one another.In the first paragraph, name a theme of Paul Laurence Dunbar's poem "Sympathy," and explain how it develops, citing specific examples from the text to support your answer.In the second paragraph, describe the ways in which various elementssuch as the language, the setting, the speaker, and the events describedinteract and affect one another.Please i really need help The roc is the only monster in this selection that is not a hybrid; it is simplya vastly oversize bird. Do you think the roc qualifies as a monster? Explainyour reasoning. HELPPPPPPPPP!!!!why is it important for a fruit to ripen when its seeds are mature a public health nurse is assigned a new area. in order to become more familiar with the area, the nurse will collect data regarding the health of the community. what sources of existing data will the nurse use to gather initial health-related data about the community? (select all that apply.) which mode of entry is a contractual agreement granting a firm the right to use any kind of expertise of another firm in exchange for a fixed sum plus a royalty? Please help science homework which of the following is a true statement about the effects of sugar? multiple choice natural sources of sugar, like honey, are lower in calories than their processed counterparts, such as high fructose corn syrup. prolonged exposure of the teeth to simple sugars from snacks and drinks promotes dental caries. a high-sugar diet will cause hyperactivity among children. a high sugar intake is not problematic as long as the overall diet is high in protein Countries on which continent or region tend to rank highest on any diversity index because of their multiple ethnic groups and languages?. How did analyzing the chemical composition of the murder victim's bone help the detective identify the region of the world from which the victim came?Please just answer in some educated way it doesnt have to be 100% correct