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Leviafan [203]
3 years ago
12

Analyze the diagram below and complete the instructions that follow. Complete

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

Answer:

QR / SQ = SQ / TQ

Step-by-step explanation:

∠QST = 90 - ∠Q

∠R = 90 - ∠Q

∠QST = ∠R

ΔQST ~ ΔQRS

SQ / TQ = QR / SQ

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Two numbers are in the ratio 3/4. If 4 is subtracted from each they are in the ratio of 5/7. Find the numbers!
frosja888 [35]

Answer:

The two numbers are 24 and 32

Step-by-step explanation:

We can use the variable x

3x : 4x, would be a ratio of 3/4

now subtract 4 from both

3x - 4 : 4x - 4 = 5/7

3x-4 / 4x-4 = 5/7

cross multiplication

7(3x - 4) = 5(4x - 4)

21x - 28 = 20x - 20

x = 8

Two numbers are;

3x, 4x

3(8), 4(8)

24, 32

24/32 = 3/4

20/28 = 5/7

3 0
2 years ago
Consider the original triangle and the reduction.
bulgar [2K]
<h3>answer</h3>

6 cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a

=

1

2

h

b

→

(

h = height

,

b= base

)

We know:

a

=

24

h

=

8

So we can substitute them in and find

b

:

24

=

1

2

(

8

)

b

Multiply by sides by 2 and then divide:

24

×

2

=

1

2

(

8

)

b

×

2

48

=

8

b

6

=

b

The base of the triangle is

6 cm.

ur welcome ♥️♥️

3 0
4 years ago
Simplify 4 to the second power ⋅ 4 to the 8th power
schepotkina [342]

Answer

it is 1610

Step-by-step explanation:

8 0
3 years ago
What is the vertex of the function f(x) = x2 + 12x?
ladessa [460]

Answer:

A. -6,-36

Step-by-step explanation:

Right on EDG 2021.

4 0
3 years ago
Is x^2-49 a difference of two squares?
Svet_ta [14]
Yes! To factor this, you would put it into expanded form: (x+7)(x-7). This is the only way to solve this and eliminate the x^1 term.
4 0
4 years ago
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