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Goryan [66]
3 years ago
14

If a + b = c, which of the following statements is true?

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

Answer:

c-a=b

Step-by-step explanation:

You might be interested in
Example 3
chubhunter [2.5K]

Answer:

We conclude that

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

Given

<1 and <2 form a linear pair

m∠1 = 4m∠2

To determine

Find the measure of each of the two angles.

<u>Important Points about linear pair:</u>

  • We know that when two lines meet or intersect, we get a linear pair of angles.
  • Linear pairs are basically two adjacent angles that form a line.
  • The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

As

<1 and <2 form a linear pair

m∠1 = 4m∠2

In other words, angle 1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

\frac{5x}{5}\:=\:\frac{180}{5}

\:x=36^{\circ }

Thus, we conclude that

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
4 0
3 years ago
At a certain concert, 73 % of the audience was under 20 years old. A random sample of n = 146 members of the audience was select
Tatiana [17]

Answer:  p = 0.73

Step-by-step explanation:

Given that,

73% of the audience was under 20 years old :

so, probability (p) = 0.73

n = 146

Mean of the distribution of sample proportion = ?

According to central limit theorem,

np(1-p) ≥ 10

146 × 0.73(0.27) ≥ 10

28.77 ≥ 10

∴ Central limit theorem assumes that the sample distribution of the sample proportion is normally distributed.

Hence, the mean of the distribution of sample proportion:

μ = p = 0.73

4 0
3 years ago
Solve the following equation: 96= -6( -4-3y)<br> a. y=2<br> b.y=4<br> c.y= -2<br> d. y=6
tankabanditka [31]
               96 = -6 * (-4 - 3y) <== It's easiest to solve when the y is on the right
                    ↓
-6 * (-4 - 3y) = 96                <== Multiply the -6 by everything inside the
                                           parentheses
                    <span>↓</span>
     24 + 18y = 96                <== Subtract the 24 from both sides
                    ↓
             18y = 72                <== Divide both sides by 18
                    ↓
                 y = 4 

The correct answer is choice B. y = 4.
Hope that helped =)
3 0
4 years ago
Read 2 more answers
A football team gains 8 yards on their first play. They lose 12 on the next play. What two integers represent the two players? ​
Ivan

Answer:

12 plus 8

Step-by-step explanation:

is 20 ..............

6 0
3 years ago
Investors buy a studio apartment for $240,000.Of this amount, they have a down payment of $48,000. Their down payment is what pe
Ede4ka [16]

Answer:

The answers are 20% and 40%

Step-by-step explanation:

Cost price is $240,000

The percentage of $48000 will be

(48000/240000) × 100

= 20%

The percentage of $96000 will be

(96000/240000) ×100

= 40%

8 0
3 years ago
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