Answers
Step-by-step explanation:
Hello,
Firstly just look to triangle BDE,
Here, you will find that,
140° = y+80° {the exterior and opposite interior angle of a triangle is equal}.
or, y= 140°-80° {shifting 80° to another side and subtracting it.}
Therefore, the value of y is 60°.
now, let's simply work with line EB or EG. we get;
angle GEF + y=180° { being a linear pair}.
or, angle GEF + 60°= 180°
or, angle GEF = 180°-60°
Therefore, the value of angle GEF = 120°.
now, looking in triangle EFG, we get;
angle GEF + 35°+x= 180° { the sum of interior angle of a triangle is 180°}.
or, 120°+35°+ x= 180°
or, x= 180°- 155°
Therefore, the value of x is 25°.
now, lastly finding the value of "z"
We find that x= z {being vertical opposite angle}
or, z =25°
Therefore, the value of z is 25°.
So, the values are,
x=25°
y=60°
and z= 25°
Hope it helps...
Related Questions
answer to question 3 please ?
Answers
Answer:
Step-by-step explanation:
Equation for the height of a plant is,
h = 0.5d + 4
Function representing he height 'f(x)' of a plant with respect to time 'x' (in days) will be,
f(x) = 0.5x + 4
[By substituting the input values of x we get the output values of 'y' from the given equation]
Table to plot the points on the graph will be,
x 0 1 2 3 4 5 6
f(x) 4 4.5 5 5.5 6 6.5 7
Now plot these points on graph as given in the attachment.
I need help ASAP!! Finding the angle Please help me
Answers
Answer:
Does the answer help you?
[tex]\\ \sf\longmapsto Sin\Theta=\dfrac{P}{H}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{49}{52}[/tex]
2decimal places:-[tex]\\ \sf\longmapsto sin\Theta=0.94[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin71°[/tex]
[tex]\\ \sf\longmapsto \Theta=71°[/tex]
Or
[tex]\\ \sf\longmapsto cos19°[/tex]
1decimal place:-[tex]\\ \sf\longmapsto sin\Theta=0.9[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin70[/tex]
[tex]\\ \sf\longmapsto \Theta=70°[/tex]
Or[tex]\\ \sf\longmapsto cos20°[/tex]
36. Given that y varies directly with x,
what is the equation of direct variation
if y is 3 when x is 7?
Answers
Answer:
A. y = 3/7x
Step-by-step explanation:
Direct variation: y = kx
3 = 7k
k = 3/7
y = 3/7x
Find the exact value of cos A in simplest radical form.
Answers
Answer:
[tex] \cos(A) = \frac{2 \sqrt{6} }{7} [/tex]Step-by-step explanation:
Since we are finding cos A we have
[tex] \cos(A) = \frac{AC}{AB} [/tex]From the question
AC = √96
AB = 14
Substitute the values into the above formula
That's
[tex] \cos(A) = \frac{ \sqrt{96} }{14} [/tex]We have the final answer as
[tex] \cos(A) = \frac{2 \sqrt{6} }{7} [/tex]Hope this helps you
22. Find the area of circle with radius 7cm ( π)
Answers
Answer:
Sol:Here
Radius (R) =7cm
Area of circle (A) =pie*r^2
=22/7*7^2
=3.14*7^2
=3.14*49
=153.86
Answer:
A=49πcm²Step-by-step explanation:
A=πr²
Given r=7,A=π(7²)=49πcm²
Please help! I have an answer but idk if it's right so please check and tell me if I made any mistakes! Thank you!
Answers
Answer:
p(1)=2-a+4-4
or,10=2-a
so,a=-8
Step-by-step explanation:
hope it helps you
Given two consecutive integers whose sum is 92, find the larger of the two integers.
Answers
Each student of a class contributed as many 5 rupees as the numbers of the students in the class.Find the number of the students in the class if the total collection was RS 10125.
Answers
And=2025 students gave 10125 rs
just divide it by 5hope it helps...pls mark me brainliest
Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of their cross section is x=1/34y^2, in inches. The feedhorn part of the microphone is located at the focus
a. How far is the feedhorn from the edge of the parabolic surface of the microphone?
b. What is the diameter of the microphone? Explain your reasoning
c. If the diameter is increased by 5 inches, what is the new equation of the cross section of the microphone?
Answers
Answer:
a. 8.5 in.
b. 34 in
c. x = 1/39 x^2.
Step-by-step explanation:
Part a.
x = 1/34 y^2
y^2 = 34x
Comparing with y^2 = 4px where p is the focus:
4p = 34
p = 8.5 in.
Part b.
The diameter = 4p = 34 in.
Part c.
Diameter = 4p = 34 + 5 = 39 in
The new equation is x = 1/39 x^2.
Factorise using suitable identities (0.1x-0.2y)^2 plzzz help!!!!!
Answers
Answer:
0.1 exponent2 ( x − 2 y ) exponent 2
Step-by-step explanation:
550
Х
X =
degrees
Jejdjsjsjs
Answers
Answer:
35⁰
Step-by-step explanation:
180-90-55=35⁰
there is a right angle
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°
[tex]\rm\large\rightarrow \: \: x \: + \: 55 \degree \: + \: 90 \degree \: = \: 180 \degree[/tex]
[tex]\rm\large\rightarrow \: \: x \: + \: 145 \degree \: = \: 180 \degree[/tex]
[tex]\rm\large\rightarrow \: \: x \: = \: 180 \degree \: - \: \: 145 \degree [/tex]
[tex]\rm\large\rightarrow \: \: x \: = \: 35 \degree[/tex]
She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s
Answers
Answer:
per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s
Step-by-step explanation:
divide both sides by 55 to get one.
divide both sides by 25 to get one
THEN
to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.
Graph y=2x+4………………………………
Answers
Answer:
Step-by-step explanation:
What is the value of r?
Answers
Answer:
r = 11
Step-by-step explanation:
Hi there!
This scenario represents a linear relation, given the equation [tex]m=rp+k[/tex].
Linear equations are typically written in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. As you can see, [tex]y=mx+b[/tex] and the given equation [tex]m=rp+k[/tex] share the same form.
This makes r the slope. This is also stated in the question, as r is the amount of money ($) paid per page.
The ordered pairs in the table represents points on a graph, if we were to graph this. For example, (9, 308) and (12, 341) both fall on the graph of this relation.
To solve for r, we must solve for the slope using the slope equation:
[tex]r=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
We can use any two points from the table in this equation. For example, (9, 308) and (12, 341):
[tex]r=\displaystyle \frac{341-308}{12-9}\\\\r=\displaystyle \frac{33}{3}\\\\r=11[/tex]
Therefore, the value of r is 11.
I hope this helps!
Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 100 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again?
Answers
How long, to the nearest day, until it is safe to swim again will be 156 days
Let x represent number of day until it is safe to swim again
First step
=2000 *1/2^x
100=2000 *0.5^x
0.05=0.5^x
Second step
Log 0.05=xLog 0.5
Log 0.05/L0g 0.5=x
x=36 days* Log 0.05/L0g 0.5
x=36 days*43.22
x=156 days
Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days
Learn more about radioactive element here:
https://brainly.com/question/13812761
1. A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the original pyramid is 14 m, what is the volume of the frustum?
10 m
4 m
8 m
6 m
12m
Answers
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher
The volume of the frustum that is shown in the diagram is: C. 256 m³.
What is the Volume of Frustum?The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.
Find the volume of the original (bigger) rectangular pyramid:
Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)
Volume of rectangular pyramid = 336 m³
Find the volume of the smaller (the top that was removed) rectangular pyramid:
Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)
Volume of rectangular pyramid = 80 m³
The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.
Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.
Learn more about volume of frustum on:
https://brainly.com/question/1641223
Multiply. Write your answer in scientific notation
Answers
Answer:
3×3×10^5×10^2
9×10^5-2
9×10³
(2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i)
Answers
Answer:
50+50iStep-by-step explanation:
Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.
Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)
On expansion
(3 - i)(3 + i)
= 9+3i-3i-i²
= 9-(-1)
= 9+1
(3 - i)(3 + i) = 10
For the expression (2 + i)(1 - i), we have;
(2 + i)(1 - i)
= 2-2i+i-i²
= 2-i+1
= 3-i
Multiplying 3-i with the last expression (1 + 2i)
(2 + i)(1 - i)(1 + 2i)
= (3-i)(1+2i)
= 3+6i-i-2i²
= 3+5i-2(-1)
= 3+5i+2
= 5+5i
Finally, [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]
= 10(5+5i)
= 50+50i
Hence, (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i
4 Points
is
For the function y = 3x + 5
what is the output of the
function if the input is 10?
Answers
Answer:
[tex]35[/tex]
Step-by-step explanation:
One is given the following function ([tex]y=3x+5[/tex]). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:
[tex]y=3x+5[/tex]
[tex]y=3(10)+5[/tex]
[tex]y=30+5[/tex]
[tex]y=35[/tex]
Graph the relation shown in the table. Is the relation a function? Why or why not?
Answers
Answer:
Not a function fails the vertical line test
Step-by-step explanation:
This is not a function. The value of x = -1 goes to two different values of y
This would fail the vertical line test
Answer:
the first one
Step-by-step explanation:
use the vertical line test. the horizontal line would intersect at two points.
please help, i really dont understand this. will give brainliest.
There are 6 dogs and 5 cats.
Answers
Answer:
13) 11C5 or 11C6 = 462
14) it appears to be only 1
DCDCDCDCDCD
15) 9 choose 6 or 9 choose 3 = 84
Step-by-step explanation:
Answer ASAP, will give brainliest
Answers
Answer:
Step-by-step explanation:
1) Diagonal bisect the angles of Rhombus
∠CAB = ∠CAD
∠CAB = 71
2) ∠DAB = ∠CAB + ∠CAD
∠DAB = 71 + 71 = 142
In Rhombus, adjacent angles are supplementary
∠DAB + ∠ABC = 180
142 + ∠ABC = 180
∠ABC = 180 - 142
∠ABC = 38
3) In rhombus, opposite angles are congruent
∠ADC = ∠ABC
∠ABC = 38
In rhombus, diagonal bisect angles
∠BDC = (1/2)*∠ADC
∠BDC= 38/2
∠BDC = 19
4) Diagonals bisect each other at 90
∠DEC = 90
5) Diagonals bisect each other
BE = DE
BE + DE = DB
7x -2 +7x -2 =24 {add like terms}
14x - 4 =24
14x = 24+4
14x = 28
x = 28/14
x = 2 m
6) AB = 13m
BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m
In right angle ΔAEB, {use Pythagorean theorem}
AE² + BE² = AB²
AE² + 12² = 13²
AE² + 144 = 169
AE² = 169 - 144
AE² = 25
AE = √25
AE = 5 m
Diagonals bisect each other
AE = EC
AC = 2*5
AC = 10 m
7)Side = 13 m
Perimeter = 4*side
= 4*13
Perimeter = 52 m
8) d1 = AC = 10 m
d2 = DB = 24 m
Area = [tex]\frac{d_{1}*d_{2}}{2}[/tex]
[tex]=\frac{10*24}{2}\\[/tex]
= 10 *12
= 120 m²
pls help me due tomorrow
Answers
Answer:
Step-by-step explanation:
f(x) = 2x - 4
g(x) = 1/2x - 4
6)
f(4) means that wherever you see an x on the right, you put a 4.
f(4) = 2x - 4
f(4) = 2*4 - 4
f(4) = 8 - 4
f(4) = 4
7)
g(x) = 1/2x - 4
g(2) = 1/2(2) - 4
g(2) = 1 - 4
g(2) = - 3
8)
f(-5) = 2*-5 - 4
f(-5) = -10 - 4
f(-5) = -14
9)
g(-6) = 1/2 ( - 6) - 4
g(-6) = -3 - 4
g(-6) = - 7
HAI HELP ME ASAP PLEASE
Answers
Answer:
Y/X = 2/3 x^2 + 16/3
Y= 2/3 x^3 + 16/3 x
Just replace y with y/X and X with x^2
Which is the graph of y = [x]-2?
Please please helped timed 20points
Answers
Answer:
3rd graph
Step-by-step explanation:
Emília ganhou 350 reais de sua avó. Com esse dinheiro, ela comprou um sapato, e uma roupa que custou o dobro do preço do sapato. Os 200 reais que sobraram foram depositados por Emília em sua conta poupança.
Qual é a equação eu permite determinar o preço x, em reais, que Emília pagou por esse sapato?
A) x + 2× = 350
B) x + 2× 200 = 350
C) x + (x + 2) + 200 = 350
D) x + ײ + 200 = 350
Answers
1. Escribe las razones de los siguientes enunciados: a. En una clase de un colegio cada pelota es utilizada por cada equipo de cinco niños, o sea que tenemos cinco alumnos por cada pelota de fútbol. b. En un estacionamiento hay coches de fábricas asiáticas y de fábricas americanas. En total hay 3060 coches, de los cuales, 1740 son de fabricación asiática y el resto, 1320, son de fabricación americana. (es urgentee.. Es para una tarea)
Answers
Answer:
a. 5 n/p o 1 p/ 5n
b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos
Step-by-step explanation:
Se entiende como razón a la fracción que compara dos elementos entre sí.
Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:
- Por cada 15 mujeres hay 9 varones 9/15
- Por cada 9 varones hay 15 mujeres, 15/9
Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.
El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:
- Cada 3060 autos, 1720 son asiáticos
- Cada 3060 autos, 1320, son americanos
What are three collinear points on line l?
points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G
Answers
Answer:
Points A, F, and G are three collinear points on line l.
Step-by-step explanation:
Answer:
Points A, F and G
Step-by-step explanation:
15=3y+7.y= please help me with my assignment i havelike 57 more questions to answer and 10% im trying by myself to solve the rest are kinda difficult
Answers
Answer:
8/3 or 2.67 to nearest hundredth.
Step-by-step explanation:
15 = 3y + 7
15 - 7 = 3y
3y = 8
y = 8/3
Part 1: You work 4 hours and earn $36. What is your earning rate (dollars per hour)?
Answers
Answer:
9 dollars per hour
Step-by-step explanation:
36/4=9
Answer:
9
Step-by-step explanation:
4 hours : $36
1 hour : $ x
we need to find x so,
4 hours ÷ 4 = 1 hour
1 : $
since we have divided 4 by 4,
we need to do that to 36 aswell
36 ÷ 4 = 9
1 hour : $9