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2 years ago

Complete the proof that ∠PST≅∠QRT. S P Q R T

Mathematics

2 answers:

Dominik [7]2 years ago

6 0

Answer:

5. Substitution

6. Substitution

Step-by-step explanation:

The properties of congruence generally match those of equality;

A ≅ A . . . . reflexive property

A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property

A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution

In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.

EastWind [94]2 years ago

3 0

Answer: Transitive property of congruence

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A savings account with compounded interest can be modeled by which type of graph

Leona [35]

Answer: The answer is (C) Exponential.

Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.

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The formula foe compound interest is given by

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3 years ago

Read 2 more answers

A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

Kazeer [188]

Answer:

The number of tablets 200

the number of laptops 40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y ................(2)

and,

y = 2z

z = $\frac{\textup{y}}{\textup{2}}$ ............(3)

substituting y from 2 and 3 in equation 1, we get

(500 × 5y) + (2000 × y) + (5000 × $\frac{\textup{y}}{\textup{2}}$ ) = 280,000

2500y + 2000y + 2500y = 280,000

7000y = 280,000

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = $\frac{\textup{40}}{\textup{2}}$

z = 20

hence,

the number of tablets 200

the number of laptops 40

and, the number of servers 20

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3 years ago

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Answer: A = P(1 + r/n)nt

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3 years ago

I don’t know this one

Taya2010 [7]

74 degrees, because angle 1 and 8 add up to 73 degrees, so to make 180 you subtract 180-73 degrees, which makes 112 degrees for angle 9. Angle 9 and 12 are supplementary so they should both add up to 180. That means that angle 12 must be 68. Angles 12, 7, and 6 must add up to 180, so 38+68=106. 180-106=74. Therefore, angle 6 is 74 degrees

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4 years ago

Please Solve This Problem For Me x^2 + 5^2 = 7^2 (^2 Means Squared)

Triss [41]

X^2+5^2=7^2
x^2+25=49
(49-25)
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3 years ago