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2 years ago

PLEASE HELP!! how do I prove that vertical angles are congruent???

Mathematics

1 answer:

grin007 [14]2 years ago

5 0

Answer:

a b

Step-by-step explanation:

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Triangle ABC is translated to create triangle DFG, as shown below.

Anton [14]

Answer:

$x=3$

$y = 9$

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

$AB = DF$

$BC = FG$

$AB = DF$ means:

$3(2x + 10) = 12x + 12$

Open bracket

$6x + 30 = 12x + 12$

Collect like terms

$12x - 6x = 30 -12$

$6x = 18$

Divide by 6

$x=3$

$BC = FG$ means

$2y + 12 = 2(2y - 3)$

Open bracket

$2y + 12 = 4y - 6$

Collect like terms

$4y - 2y = 12+6$

$2y = 18$

Divide by 2

$y = 9$

5 0

2 years ago

2. An electronics store sold 1,500 CD's this year. The previous year, the store sold 990

Vera_Pavlovna [14]

Answer:

52%

Step-by-step explanation:

First, find the difference between this year's sales and the previous'. 1500-990=510.

Now we can divide 990 by 510 to find the percent increase. 510/990=0.515151515152, or 52%.

8 0

2 years ago

Read 2 more answers

What is the sum of -5 and -5?<br> -10<br> 10<br> 0

Kipish [7]

Answer:

-10

Step-by-step explanation:

5 0

2 years ago

The floor of a triangular room has an area of 32 1/2 sq.m. If the triangle’s altitude is 7 172 m, write an equation to determine

sineoko [7]

Answer:

$\frac{(2)A}{h} =b$

b=0.00906m

Step-by-step explanation:

Hello! To solve this exercise we must remember that the area of any triangle is given by the following equation

$A=\frac{bh}{2}$

where

A=area=32.5m^2

h=altitude=7172m

b=base

Now what we should do take the equation for the area of a rectangle and leave the base alone, remember that what we do on one side of the equation we must do on the other side to preserve equality

$A=\frac{bh}{2} \\\frac{2}{h} A=\frac{bh}{2} \frac{2}{h} \\$

$\frac{A(2)}{h} =b$

solving

$\frac{2(32.5)}{7172} =0.0090[tex]\frac{A(2)}{h} =b\\b=0.00906m$

4 0

3 years ago

Please help i always give brainliets and thanks

pav-90 [236]

Answer:

(3)

Step-by-step explanation:

(1), (2) and (4)

can be written as Fr= p1-p2, F and r are inversely proportional

(3) r is directly proportional with F which is opposite to the given formula

hence this is incorrect

6 0

3 years ago