A function is defined by X)= 1. What is f(-8)?

State the Postulate or Theorem that can be used to say that the triangles are congruent:

Snezhnost [94]

The congruence theorems or postulates that proves the following set of triangles are congruent are:

a. SAS congruence postulate

b. SSS congruence postulate

c. SAS congruence postulate

d. SAS congruence postulate

<h3>Triangle Congruence Postulates or Theorems</h3>

Two triangles having two pairs of congruent angles and a pair of included sides are congruent by the SAS congruence postulate.

Two triangles having three pairs of congruent sides are congruent by the SSS congruence postulate.

Two triangles having two pairs of congruent sides and a pair of included angles are congruent by the SAS congruence postulate.

Two triangles having two pairs of congruent angles and a non-included side are congruent by the SAS congruence postulate.

Therefore, the congruence theorems or postulates that proves the following set of triangles are congruent are:

a. SAS congruence postulate

b. SSS congruence postulate

c. SAS congruence postulate

d. SAS congruence postulate

Learn more about Triangle Congruence Postulates or Theorems on:

brainly.com/question/3432837

5 0

2 years ago

What equation is equivalent to 4,325,000,000 ?

ruslelena [56]

Answer:

4.325 x $10^{9}$

Step-by-step explanation:

Scientific notation

This means that the decimal in the number 4.325 is carried to the right 9 times and the empty spaces are the 0s in the answer

3 0

3 years ago

Complete the pairs of corresponding parts if RST=TXY

o-na [289]

Answer:

R ⇔ T
S ⇔ X
T ⇔ Y
RS ⇔ TX
RT ⇔ TY
ST ⇔ XY

Step-by-step explanation:

Corresponding parts are listed in the same order in the congruence statement:

RST ≅ TXY

R ⇔ T

S ⇔ X

T ⇔ Y

RS ⇔ TX

RT ⇔ TY

ST ⇔ XY

_____

Above, we have used ⇔ to mean "corresponds to."

6 0

2 years ago

2. Solve this problem: There will be 460 people at the sport's award banquet. If each table seats 8 people, how many tables are

pickupchik [31]

There are 58 tables!

8 0

3 years ago

Read 2 more answers

A right triangular prism is shown. Find (A) the total surface area and (B) the volume. You must show formulas and your work.

enyata [817]

Hello!

We are going to use the rectangular prism of the image as a guide:

First of all, the AC segment is calculated using the Pythagoras' theorem:

$AC= \sqrt{ AB^{2}+ BC^{2} } =\sqrt{ 10^{2}+ 8^{2} }=12,81 m$

(A) The surface area of a prism is the sum of the surface areas of each face.

For the 2 triangles ABC and DEF

$A=2*(1/2*b*h)=2*(1/2*8m*10m)=80m$

For the ABEF Rectangle

$A=w*l=10,77m*10m=107,7m^{2}$

For the ACDE Rectangle

$A=w*l=10,77m*12,81m=137,96 m^{2}$

For the BCDF Rectangle

$A=w*l=10,77m*8m=86,16 m^{2}$

To finish you need to sum up the areas of each face:

$SA=2A_{ABC}+ A_{ABEF}+A_{ACDE}+A_{BCDF}= \\ 80 m^{2} +107,7m^{2} +137,96m^{2} +86,16m^{2} =411,82m^{2}$

(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows

$V= \frac{1}{2} *w*h*l= \frac{1}{2}* 8m*10m*10,77m=430,8m^{3}$

7 0

3 years ago