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3 years ago

What theorem or postulate can be used to justify that the two triangles are congruent?

Mathematics

2 answers:

qwelly [4]3 years ago

8 0

The theorem or postuale that can be used to justify that the two triangles are congruent is the Angle-Side-Angle postulate (ASA).

nekit [7.7K]3 years ago

5 0

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent (Angle-Side-Angle or ASA).

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Point B is on line segment AC . Given AB=3x,AB=3x, BC=4x+8,BC=4x+8, and AC=5x+10,AC=5x+10, determine the numerical length of AC

kolezko [41]

Answer:

AC = 15

Step-by-step explanation:

3x + 4x + 8 = 5x + 10

7x + 8 = 5x + 10

2x + 8 = 10

2x = 2

x = 1

5(1) + 10 = 15

3 0

3 years ago

Read 2 more answers

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

katrin [286]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

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3 years ago

The table shows values for functions f(x) and g(x) .

Rama09 [41]

Answer:

x=-1 and x=1

Step-by-step explanation:

all you have to do is replace the letters with numbers and

5 0

3 years ago

Unit cubes in solid figures

andrey2020 [161]

So what you need to do is find the less he can use.

6 0

3 years ago

A sample with which of these variances has a standard deviation that is greater than the variance?

svetlana [45]

Standard deviation is the square root of the variance. For the square root of a number to be greater than the number, the number must be between 0 and 1.
Hence, for the standard variation to be greater than the variance, the variance must be between 0 and 1.

Answer: C [0.75]

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3 years ago