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2 years ago

Name a set of vertical angles in the image below:

Mathematics

1 answer:

quester [9]2 years ago

7 0

Answer: Choice D

$\angle 1 \text{ and } \angle 3$

Reason:

Whenever we have two lines cross to form an X shape, the vertical angles are always opposite one another. They do not have to be vertically stacked (as they can be side by side like angles 2 and 4 are). Vertical angles are always congruent.

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Could someone help and explain their answer? (NO LINKS!)<br> Thanks!

Nonamiya [84]

Answer:

Step-by-step explanation:

To find the prime factorization of a number, start by dividing the number by each prime number that you can divide by as many times as possible, starting with the smallest prime number and moving up. Then move on to the next prime number. The last division must give a quotient of 1. Then the prime factorization is the product of all the prime factors you divided the number by.

Here's how you use this method with 180.

Here are the first 10 prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start by trying to divide by 2. 180 is divisible by 2.

180/2 = 90 90 is divisible by 2.

90/2 = 45 45 is not divisible by 2, so now try 3.

45/3 = 15 15 is divisible by 3.

15/3 = 5 5 is prime, so it is divisible by 5.

5/5 = 1 The divisors in bold are the prime factors of 180.

180 = 2 × 2 × 3 × 3 × 5

180 = 2² × 3² × 5

Answer: 5

3 0

3 years ago

Read 2 more answers

Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices

geniusboy [140]

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are $A(-2,0), B(2,5),C(3,1)$

After reflection they become $A(-2,0),B(2,-5),C(3,-1)$

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B60" id="TexFormula1" title="\sqrt{60" alt="\sqrt{60" align="absmiddle" class="latex-

Citrus2011 [14]

Answer:

7 & 8

Step-by-step explanation:

$\sqrt{60}$ = 7.7459666924148337703585307995648

Therefore, it lies between the whole numbers 7 & 8.

Hope this helps :)

3 0

3 years ago

Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutio

Luden [163]

Answer:

No solution

Step-by-step explanation:

7 0

3 years ago

Jeb took 1 hour 40 minutes to complete a road race that was three laps around a section of the city. He took 1/4 of the total ti

e-lub [12.9K]

Jeb took 1/4 of 100 minutes(1 hour 40 minutes) =25 minutes for the first lap. . so the rest 75 minutes , Jeb took 1/3 time so 25 minutes for the second lap , the third lap Jeb took 100-50 = 50 minutes .

5 0

4 years ago