All categories

3 years ago

Solve for the indicated Arc

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

Answer:

Step-by-step explanation:

PQ = 40

and PQ = QR

40+40 = 80

You might be interested in

Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

A boy spends 4/15 on cloth, 1/5 on food and 5/12 on drink. what fraction is left for other things

mamaluj [8]

Answer:

4/15+1/5+5/12=53/60 so

7/60

Hope This Helps!!!

5 0

3 years ago

Read 2 more answers

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Yakvenalex [24]

Step-by-step explanation:

We find the equation of the solid blue line:

The line decreases by 1 unit for every 3 units across.

=> Slope of line = -1/3.

Also the y-intercept is 1.

=> Line equation: y = -1/3 x + 1.

We see that the graph below this line is shaded.

Therefore all y-values below or on the line are represented by the graph.

=> y <= -1/3 x + 1.

The answer is y <= -1/3 x + 1.

4 0

3 years ago

Determine the value of the variable in the simplified expressions. What is the value of X? Gx+h^-3=1/g^6+1/h^3. X=_____. What is

swat32

Answer:

x=-6

y=4

Step-by-step explanation:

i just took the quiz

hope i could help

5 0

3 years ago

Read 2 more answers

Can y’all help me with this

nalin [4]

Step-by-step explanation:

i really dont know tbh that confusing

3 0

3 years ago

Read 2 more answers