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2 years ago

Which postulate or theorem proves that △QRS and △TRS are congruent?

Mathematics

1 answer:

Vanyuwa [196]2 years ago

8 0

Answer:

Option D is correct.

SAS Congruence Postulates

Step-by-step explanation:

In Δ QRS and Δ TRS

$QS \cong ST$ [Side] [Given]

$RS \cong RS$ [Common Side] [Given]

$\angle RSQ \cong \angle RST = 90^{\circ}$ [Angle]

SAS(Side- Angle -Side) postulates states states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Then, by SAS postulates

$\triangle QRS \cong \triangle TRS$

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Which input value produces the same output value for the two functions on the graph?

DiKsa [7]

Answer:

The input value is 3/4

Step-by-step explanation:

we know that

The input value that produces the same output value for the two linear functions, is the intersection point both graphs

we have

$f(x)=-3x+1$ ---> equation A

$g(x)=x-2$ ---> equation B

Equate equation A and equation B

$x-2=-3x+1$

solve for x

$3x+x=1+2$

$4x=3$

$x=\frac{3}{4}$

therefore

The input value is 3/4

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3 years ago

The quadratic equation -6=x^2+4x-1 in Standard form . What is the value of c in his new equation

Vitek1552 [10]

Answer:

c = 5

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 : a ≠ 0

Given

- 6 = x² + 4x - 1 ( add 6 to both sides )

0 = x² + 4x + 5 ← in standard form

with c = 5

3 0

3 years ago

Louise bought 114 pounds of roast beef at $2.00 per pound and 212 pounds of turkey at $1.50 per pound. What was her total cos

tia_tia [17]

$546.
114 * 2 + 212*1.5

5 0

2 years ago

Read 2 more answers

X + y = 17<br> -x + 3y 7-8<br> :

ladessa [460]

Answer:

it could be x= 10 and y=7? I think bc 17 can be split up into 10 and 7 or 9 and 8 etc.

4 0

2 years ago

You manage a call center that processes orders. One measure of efficiency in your department is the time spent on each call. You

siniylev [52]

Answer:

The answer is option A.

Step-by-step explanation:

If the report is made once a month, the daily variations (including the tendency to decrease efficiency on Friday) will be masked within the monthly result.

It would only generate an ethical problem in the case that Fridays fall in different samples, but in the case of the monthly report there are usually 4 or 5 Fridays included in each sample.

4 0

3 years ago