Geometry math question no Guessing and Please show work

Answers

Answer 1

Answer:

Consider the given triangles TPB and BSY,

PB=BS (Given )

$\angle TPB=\angle BSY$ (Each angle is a right angle)

$\angle TBP=\angle SBY$ (As vertically opposite angles are equal)

So, the given triangles are congruent by ASA postulate which states that "Triangles are congruent if any two angles and their included side are equal in both triangles".

Answer 2

Answer:

Let us consider the two triangles TPB and YSB

The figure shows < TPB = < YSB

The sides PB=SB

<TBP=<YBS( vertically opposite angles are equal)

Two angles and included side are equal in the triangles TPB and YSB.

If any two angles and the included side are the same in both triangles, then the triangles are congruent.

The two triangles are congruent by ASA property of congruence .

Option A is the right answer.

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How can 52 over 9 be expressed as a decimal?

Answers

Answer:

52/9

=5.7

Step-by-step explanation:

We know that

52/9

is the same as

52÷9

We have the equation:

52 ÷ 9 = 5.7

Divide 52 by 9 which will be equal to 9.8333...

What is the value of the expression 16 + 4 • 5 – 6 ÷ 2? A.
15

B.
14

C.
33

D.
22

Answers

c.33 because using the process of pemdas. 4×5 = 20. 16 + 20 - 6 ÷ 2. Then 6÷2 = 3. 16+ 20 - 3 = 33

Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. She also gets $3,520 in paid time off per year. Her monthly gross pay is $4,370. What are Lakisha’s total job benefits per year?

Answers

The answer is D, I just took the test.

Which of these expressions represent solutions to the equation

Answers

3 and -3

I think, I’m not really sure though.

Can you tell me this two? Thanks

Answers

These are the answers to problems 29 and 30:
29. C
30. C

What is the volume enclosed by the slanted prism in the diagram 225cm
270cm
300cm
540cm

Answers

To find the volume of a slanted prism, all you need to know is the area of the base and the height of prism. If you know these two things, then the volume of a prism can be calculated using formula

$V_(prism)=A_(base)\cdot H_(prism).$

Since $A_(base)=25 cm^2$ and $H_(prism)=9 cm,$ you have

$V_(prism)=25\cdot 9=225 cm^3.$

Answer: correct choice is A.

we know that
volume of the slanted prism is equal to
$V=B*h$
where
B is the area of the base------> $B=25 cm^(2)$
h is the height of the prism-----> $h=9 cm$
so
$V=25*9 \n V=225 cm^(2)$

the answer is the option
$225 cm^(2)$

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