MATHEMATICS HIGH SCHOOL

If these two trapezoids are similar, what is the measure of the missing angle?90°
1150
900
65°
Answer:
degree.

Answers

Answer 1
Answer:

The measure of the missing angle in the similar trapezoid is 90°.

In the given trapezoid the measure of angles are 90°, 115°, 90° and 65°.

What are similar figures?

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.

Given that, the two trapezoids are similar

Here, the measure of the missing angle in the other trapezoid is 90°

Therefore, the measure of the missing angle in the similar trapezoid is 90°.

Learn more about the similar figure here:

brainly.com/question/20368229.

#SPJ2
Answer 2
Answer:

the answer is would have to be 900

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What is the solution to the linear equation? 4b + 6 = 2 – b + 4

Answers

Answer:  The required solution is b = 0.

Step-by-step explanation:  We are given to solve the following linear equation :

4b+6=2-b+4~~~~~~~~~~~~~~~~~~~~~~~~(i)

We need to find the value of the unknown variable 'b' in the give equation.

From equation (i), we have

4b+6=2-b+4\n\n\Rightarrow 4b+6=6-b\n\n\Rightarrow 4b+b=6-6\n\n\Rightarrow 5b=0\n\n\Rightarrow b=(0)/(5)\n\n\Rightarrow b=0.

Thus, the required solution is b = 0.
b = 0

To solve make b the subject so:
4b + 6 = 2 - b + 4
5b + 6 = 6
5b = 0
5 = 0/5
= 0

What is the solution for x?

Answers

3 - x = 5

Add x on both sides.

3 - x + x = 5 + x

3 = 5 + x

Subtract 5 on both sides

3 - 5 = 5 - 5 + x

3 - 5 = x

x = 3 - 5

x = -2

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are____ cards yet to be signed.

Answers

There are 32 cards left

Answer:

32

Step-by-step explanation:

start with 75 cards.  Emily did 2/5 of the 75 cards = 30 cards (75 divided by 5 times 2)

75-30=45 cards

Josh signed 1/9 which you have to convert to irregular fraction (45 divided by 9 =5) so 45-5=40 left

Of those left Tatiana completed 20% (40*.20=8)

so 40-8=32

Given the function rule f(x) = x^2 - 3x + 2, what is the output of f(-2)

Answers

Answer:

The output value of f(-2) is, 14

Step-by-step explanation:

Given the function:

f(x) = x^2-3x+2             ......[1]

We have to find the output of f(-2).

Substitute x = -2 in [1] we have;

f(-2) = (-2)^2-3(-2)+2

⇒f(-2) = 4+6+2

Simplify:

f(-2) = 12

therefore, the output value of f(-2) is, 12
f(-2) = -2 ^ 2 - 3 * -2 + 2
f(-2) = 4 - (-6) + 2
f(-2) = 10 + 2
f(-2) = 12

Find m right answers only pls thx :D

Answers

Answer:   angle AOB = 40 degrees

====================================================

Explanation:

The smaller angles AOB and BOC combine to the largest angle AOC

By the angle addition postulate, we can say,

(angleAOB) + (angleBOC) = (angleAOC)

(3x+4) + (8x-28) = 108

11x-24 = 108

11x = 108+24 .... adding 24 to both sides

11x = 132

x = 132/11 .... dividing both sides by 11

x = 12

We can use this x value to find each angle

angle AOB = 3x+4 = 3*12+4 = 40 degrees

angle BOC = 8x-28 = 8*12-28 = 68 degrees

As a check,

(angleAOB)+(angleBOC) = (40)+(68) = 108

which matches with the measure of angle AOC. This confirms our answers.

Answer:

AOB = 40

Step-by-step explanation:

AOC = 108 \n </p><p>AOB = 3x + 4 \n </p><p>BOC = 8x - 28 \n but \: AOB +BOC =AOC \n 3x + 4 + 8x - 28 = 108\n 11x = 132 \n x = 12\n AOB = 3x + 4 = 3(12) + 4 \n AOB = 40

In 2000 the city of Las Vegas had a population of 478,434. In 2007 there were 558,880 people living in Las Vegas. How many more people were living in Las Vegas in 2007 than in 2000?

Answers

2000 = 478'434 
2007 = 558'880
so 
558'880 - 478'434 = 80446 

80446 more people live in las vegas in 2007 than back in 2000 
hope this helps
80,446

You would subtract the 2000 population from the 2007 population. 

558,880-478,434= 80,446
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