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artcher [175]
2 years ago
6

QUESTION!!!! WHEN TRYING TO PROVE SIMILER TRIANGLES, IF YOUR USINF THE ANGLE ANGLE SIMILARITY POSTUALET HOW MANY ANGLES DO YOU N

EED TO PROVE IN YOUR STATEMENTS? AND IS THERE A WAY TO MAKE SURE THAT THE WAY YOU PROVED YOUR TRIANGLES SIMILAR IS RIGHT?
Mathematics
1 answer:
Leto [7]2 years ago
8 0

Answer: 2 pairs of angles

As the name "angle angle" suggests, we need 2 pairs of angles proven congruent in order to prove that two triangles are similar. Each "angle" refers to a pair of angles between the two triangles, which are corresponding angles. We could use the third pair, but it's extra unnecessary work. This theorem is often written as "AA similarity" or something along those lines.

One way to check for similar triangles is to compare the ratios of the sides. If the corresponding sides divide to the same value, then you have similar triangles. This method only works of course if you know the side lengths.

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The triangles below are similar because of the:
siniylev [52]

Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

7 0
2 years ago
What is the solution of 5sin2θ=3 for 0≤θ≤2π? Please help.
grigory [225]

Answer:

C) \theta\approx\{0.3218,1.249,3.463,4.3908\}

Step-by-step explanation:

5\sin2\theta=3;\: 0\leq\theta\leq 2\pi\\\\\sin2\theta=\frac{3}{5}\\ \\2\theta\approx\{0.6436,2.498,6.926,8.7816\}\\\\\theta\approx\{0.3218,1.249,3.463,4.3908\}

7 0
2 years ago
Please help! Find the domain of y = 4 square root 4x + 2
olga55 [171]

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

√(4x + 2) = 0

4x + 2 = 0

4x = -2

x = -1/2

We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

3 0
2 years ago
Can someone please help me on this question?​
yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0
3 years ago
The population of the United States is aging, though less rapidly than in other developed countries. Here is a stemplot of the p
Degger [83]

Answer:

Option A. 17.6%

Step-by-step explanation:

Since it is given that stems are in whole percent and leaves are tenths of percent which means if we take the first steam value of 5 7;

it means that 5 is whole percent and 7 will be written as  \frac{7}{10} = 0.7 percent which as a whole indicate that the first stem leaf represent 5.7% of residents aged 65 and over.

Now the highest percent of older residents for Florida will be the last stem leaf in the data given as 17 + 0.6 will represent 17.6% which is the highest among all others.

5.7% is the lowest of them all and there is no value as of 176% in the given stem leaf plot data.

Therefore option A id correct with 17.6% percent as of Florida.

8 0
3 years ago
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