Find all the unknown angle measures in the diagram. Justify your answer for each angle measure.
Answers
Answer:
∠1 is 90° because it is a right angle
To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;
x + 90 + 30 = 180
x + 120 = 180
-120 -120
x = 60, ∠2 = 60°
Angle 5 is vertical to angle 1 which equals 90 degrees, and vertical angles are congruent meaning that they measure the same degrees so therefore ∠5 = 90°
Angles 4 and 40° are vertical to angle 2 which measures 60 degrees;
40 + x(where x equals angle 4) = 60
-40 -40
x = 20, ∠4 = 20°
Specified earlier, angles 40° and 4 are equal to 60°, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.
So we set up the equation;
40 + 20(angle four) + x = 90
60 + x = 90
-60 -60
x = 30, ∠3 = 30°
Related Questions
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.
Answers
50 POINTS!
The two main parts of an equation in Slope-Intercept Forrn are the Slope and the Y-Intercept.
A. True
B. False
Answers
Answer:
A
Step-by-step explanation:
408 takes the bus that's 60 percent of the kids at school what is the told number of kids at school
Answers
Answer:
408 students = 60%
408 x 100/60
= 680 students in total
A group of students must collect at least $150 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?
Number line graph with a closed circle on 120 and shading to the right.
Number line graph with a closed circle on 30 and shading to the right.
Number line graph with a closed circle on 150 and shading to the right.
Number line graph with a closed circle on 180 and shading to the right.
Answers
Answer:
Number line graph with a closed circle on 120 and shading to the right.
Step-by-step explanation:
Because they have collected 30 dollars already and must collect at least 150 dollars, the closed circle would go on 120, going to the right. (150-30=120)
(15)/(sin64)=(b)/(sin50)=(c)/(sin66)
Answers
sin 50= .766
sin 60= .913
(15)(.898)=13.47
Answer:
b≈12.78 ; c≈15.25
Step-by-step explanation:
See image.
please help!!
Determine the five-number summary for the data set. 20, 26, 18, 31, 22, 28, 30
Answers
Answer:
min = 18Q1 = 20median = 26Q3 = 30max = 31====================================================
Explanation:
The first task is to sort the items given.
The sorted set is {18, 20, 22, 26, 28, 30, 31}
There are 7 values in that set. The median is going to be in slot 4 because n/2 = 7/2 = 3.5 rounds to 4.
The value in slot 4 is 26, meaning the median is 26.
There are 3 values below the median, and 3 values above it.
L = lower set = items below the median
L = {18,20,22}
U = upper set = items above the median
U = {28,30,31}
The median of set L is 20, showing that Q1 = 20 is the first quartile.
The median of set U is 30, meaning Q3 = 30 is the third quartile.
The min and max are exactly what they sound like: they are the smallest and largest items. In this case, we have min = 18 and max = 31.
Write the algebraic representation when the
scale factor is 8.
Answers
Find the volume of the cylinder. Enter the answer EXACTLY as it appears on
your calculator. NO ROUNDING this time.
Answers
Answer:
653.45
Step-by-step explanation:
How are the two shapes
similar?
Answers
Answer:
they arent
Step-by-step explanation:
maybe height or width
i dunno
Jeff had 1 A,4Bs and 2 C's what was he's gpa
Answers
Answer:
Hes Gpa Is that man is good. helps :0
Step-by-step explanation:
Directions: Express the number in scientific notation.
The human eye blinks an average of 4,200,000
times a year.
Answers
Answer:
count how many time you need to move the decimal point to only have 1 number on the left
4,200,000 = 6 times
4.2 × 10^6
Find the volume of the prism.
A) 216 km
B) 109 km
C) 113 km
D) 152 km
Answers
Left side traingle:-
B=6kmH=8KmArea=
[tex]\\ \rm{:}\dashrightarrow \dfrac{1}{2}BH=\dfrac{1}{2}(6)(8)=4(6)=24km^2[/tex]
Now
Volume:-
Area of base×Height24(9)216km^3PLEASE HURRY I NEED HELP
Answers
Answer:
I think 58% I’m not 100% sure but yea
Step-by-step explanation:
I divided the number of votes for printed 71 by the total number of votes 122 so 71/122=.58 58%
Larry is preparing jars of tomatoes from his garden. Each of his three sisters has asked for at least two jars of tomatoes, and Larry needs at least five jars for himself. i need help right now
Answers
if i tell you the truth i dont even know
Multiply: (3xl-5)(-x + 4)
)+
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
px +
62 +
Answers
Answer:
Step-by-step explanation:
Multiply: (3x - 5)(-x + 4)
By applying the distributive property,
(3x - 5)(-x + 4)
= (3x)(-x) + (3x)(4) - (5)(-x) - (5)(4)
= -3x^2 + 12x + 5x - 20
= -3x^2 + 17x - 20
That is the simplified product in standard form.
Let's see
[tex]\\ \rm\longmapsto (3x-5)(-x+4)[/tex]
a(b+c)=ab-bc[tex]\\ \rm\longmapsto 3x(-x+4)-5(-x+4)[/tex]
[tex]\\ \rm\longmapsto -3x^2+12x+5x-20[/tex]
[tex]\\ \rm\longmapsto -3x^2+17x-20[/tex]
y=-⅓x+4 what is this treasure of change?
Please Help!
Answers
Answer:
-1/3
Step-by-step explanation:(if treasure of change is "rate of change")
Equation of a line: mx + b
m=-1/3: slope
b: y-intercept
^Whenever working with an equation of slope/rate of change the above variables have specific meanings.
Slope is another term for rate of change so the rate of change would be -1/3.
m=-1/3=slope/rate of change
b=4=y intercept
HELP PLEASE i will give 25
Answers
Answer:
130°
.....
....................
Need help on this question ASAP pleasee please!
Answers
Answer:
A
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- Simplify (3x - 5) + (5x + 1). O 8x - 6 O 8x +4 - O 8x - 4 O 2x - 4
Answers
Answer:
8x - 4
Step-by-step explanation:
3x - 5 + 5x + 1
8x - 4
3x+-5+5x+1
=(3x+5x)+(-5+1)
=8X+-4
I need help getting the answer for this one. Thank you
Answers
The next step is to to construct a line through point R is the option;
Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]What are the steps to construct a perpendicular to a line?
The steps to construct a perpendicular through the point R are;
Place the compass at point R and draw an arc intersecting the line ST at the point S and T.Place the compass at point S and draw the arc given in the drawing.Place the arc at point T and without changing the setting draw an arc above the line ST to intersect the previous arc.Join the point of intersection of the arcs to the point R to complete the construction of the perpendicular to the line ST passing through RThe step that should be taken next to construct a line through point R that is perpendicular to [tex]\overleftrightarrow{ST}[/tex] is therefore;
Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]
Learn more about how to carry out geometric constructions here:
https://brainly.com/question/13160630
Which expressions represent the total area of the large rectangle.
Answers
Answer:
a, c, and e represent the total area
Answer:
(m+n)*6
Step-by-step explanation:
The total area of a rectangle= length*breath
So using this,
Length (l)=n+m
Breath (b)= 6
We know that,
Area of rectangle (A)=l*b
=(n+m)*6
=(n+m)6
i need help with this
Answers
So 180-163 = 17!
Answer: 17 degrees
Step-by-step explanation: Because you have angle A= 163, you can tell that angle B is 17 degrees (sum of angles on one side of a straight line add up to 180). Line M and line N are parallel, so they have corresponding angles, making angle B and angle X are the same. See picture attached for my diagram :). hope this helped!
Your odometer reads 4,261 miles. You drive your car until the odometer reads 4,751 and your car used 25 gallons of gasoline during the trip.
About how many miles per gallon has your car been getting? Round up to the highest ten.
20
35
170
190
Answers
Answer:
35 gallons.
Step-by-step explanation:
Why? Bc it is the closest 4,751
Decide which of the following is a reasonable answer for 7/5 x 7. pls help
7/5
7
9 4/5
Answers
The equation would look like:
7/5 x 5/1 or..
7 x 5
——-
5 x 1
= 35/5
= 7
Let g(x) = 3(x - 6)^2 + 1. Find the range of $g$.
Answers
Answer:
[1,∞)
Step-by-step explanation:
Let's try to plug in some numbers.
When solving a problem fo range, the best place to start is where you can let the (x - b) part = 0.
This is what I mean
3(x-6)² + 1
Let x = 6
3(0)² + 1 = 1
Look how we have a 0 inside the parentheses.
That's what I mean.
Now let's try using terms smaller than 6.
Now, let's try plugging in 5
3(-1)² + 1 = 4
Now try plugging in 4
3(-2)² + 1 = 13
Looks like we will just keep going up.
Now let's try using terms bigger than 6.
Plugging in 7
3(1)² + 1 = 4
Plugging in 8
3(2)² + 1 = 13
We just go up both ways because of the x squared term.
So our smallest value is at x = 6 where we have y = 1.
If we go either direction forever to the right or left the terms to get bigger, where it approaches infinity.
So, 1 will have parentheses as it can be reached and infinity will have parentheses as it is unreachable and goes on forever.
[1,∞)
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
Answer:
Based on the linear regression equation, the intercept means that for 0 missed classes, the expected test score is 98✓we know that,
y intercept exist when x = 0
so,
⇢y = -4x +98
⇢y = -4 x 0 +98
⇢y = 98
so , the expected test score is 98
Based on the linear regression equation, the slope means that for every missed class, the expected tast score decreases by 4 points✓when x = 0
y = -4(0) +98
when x = 1
y= -4(1) +98 = 94
when x = 2
y= -4(2) +98 = 90
we can see the decresement of 4 points
Based on the linear regression equation, as the number of days a student misses class increases the expected test score decreases ✓We can see that the increament in absent days lead to lower scores ( one class = 4 points)
For 0 clases
y=-0+98=98Option A is certified as correct
Here slope is -4So it decreasing not increasing
Option C is correct
Yes as the missed classes increase expected test decreasing as slope is negative.
Option F is correct
Mr Dean and mr. Mack each make a box plot to represent the grades from the same unit test for their first period classes
1. The number of students in mr Mack first period that scored between 78 and 90 on unit test represent what percent of his students.
A.25%
B.50%
C.75%
D.100%
Answers
Answer:
c
Step-by-step explanation:
There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?
Answers
Answer:
1/9
Step-by-step explanation:
4 people use all three facilities, then
16 - 4 = 12 people use the gym and the track and do not use the pool;
9 - 4 = 5 people use the pool and the track and do not use the gym;
19 - 4 = 15 people use the gym and the pool and do not use the track.
At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36 which is equivalent to 1/9
the probability of using 2 would be 8
what is 9+10 -129×5÷232²32×400÷23
Answers
Answer: 9 + 10 = 19
-129 x 5 = -645
232 exponent of 2 = 53,824
32 x 400 = 12,800
400 / 23 = 17
53,824 + 12,800 + -645 + 19 + 17 = 66015
Step-by-step explanation:
A) 22.4
B) 43.7
C) 85.3
D) 4.75
Answers
Answer:
its should be b
Step-by-step explanation
mark brainlist