Use the property to complete the statement.
20. Reflexive Property of Equality: m2D = ?
21. Transitive Property of Congruence:
If PQ = RS and RS = TU, then ? =

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

2/7

Step-by-step explanation:

set the equation as 3/7-1/7

by adding a negative to a positive you're subtracting

Answer:

2/7

Step-by-step explanation:

adding a negative is the same thing thing as subtracting a positive

so

3/7 + (-1/7) = 3/7 - 1/7 = 2/7

Answer:

A.) $383 500 000/year

B.) $826 750 000/year

Step-by-step explanation:

Just add the number of sales and divide to how many year of sales it was and you will get the answer.

Answer:

x= y-15

Step-by-step explanation:

hope it helps

Answer:

he increased by 24

Step-by-step explanation:

144-120

The answer is,

y = -18, x = -8

Answer:

For Question 13 :∡ 1 = 130°; ∡ 2 = 50° ∡ 3 = 130°

For Question 14 :∡ 1 = 65°; ∡ 2 = 115° ∡ 3 = 65°

Step-by-step explanation:

Question 13:

There is multiple ways to solve those questions. However I will stick with the simple way.

1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that ∡ 1 + the ∡ 50° = 180°

Resoectivelly

180° - 50° = ∡1

180° - 50° = 130°

∡ 1 = 130°

3) ∡ 2 + ∡ 1 = 180°

We already ∡ 1 from step 2, then

∡ 2 = 180° - 130°(∡1)

∡ 2 = 50°

4) ∡ 2 + ∡ 3 = 180°

∡ 3 = 180° -  50° (∡ 2)

∡ 3 = 130°

Question 14 1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that

angle 1 + the angle  115° = 180°

Resopectivelly

180° - 115° = ∡ 1

180° - 50° = 65°

∡1 = 65°

3) ∡ 2 + ∡ 1 = 180°

We already∡ 1 from step 2, then

∡ 2 = 180° - 65°(∡1)

∡ 2 = 115°

4) ∡ 2 + ∡ 3 = 180°

∡ 3 = 180° -  115° (∡ 2)

Have fun

Answer:

31°

Step-by-step explanation:

because angle a and angle b are complementary they equal 90 degrees in total

a+b=90

since angle a = 59°

59+b=90

so you use subtraction property of equality and subtract 59 from both side of the equal sign

59+b=90

-59    -59

b= 31°

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

Answer:

[tex]5*\frac{1}{2}[/tex]

Step-by-step explanation:

We have a picture and are being asked to identify the multiplication problem that represents it.

So we have 5 triangles, all of which are color-coded in red, but only half of them are filled. When multiplying, the number that is before the * sign is the amount there is, while the number that is after the * is the amount going to multiply the amount of items there are. So looking at the picture, we can see 5 triangles, therefore :

5 *

2 * 1/5 is scratched out as an answer. As is starts with 2.

As for the second number, we acknowledge that all triangles are half in red, therefore the number is 1/2.

5 * 1/2

Scratching all other answers.

Answer:

<JKL=123

Step-by-step explanation:

57+57=114

360-114=246

246/2=123

<JKL=123

Answer:

angle JKL=123 degrees

Step-by-step explanation:

since sides of a rhombus are parallel, angle JKL is supplementary to angle KJM (or same side interior) so angle JKL is 180-57=123 degrees

Answer:

[tex]y < 85 \div \div 9614 = 88[/tex]

Ты лоххх

Answer: 5 miles

Step-by-step explanation:

It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)

Answer:

4.25

Step-by-step explanation:

The distance Bethany travels is directly proportional to the number of hours she spends working

The formula for direct proportion is :

y = kx

Where k is a constant

in this question, the constant is given by 4.25

Answer:

i keep getting different stuff

Step-by-step explanation:

4 x − 5 + y = 0

x + 6 y = 5

6 x − 3 y =12

3 x + y = 16

6 x − 3 y = 12

3 x + 4 y = − 5

Answer:

a

Step-by-step explanation:

Answer:

 x = 4

Step-by-step explanation:

I hope this helps sorry if its wrong

Answer:

h inequality 15

hope it is helpful to you

Answer:

He used 6 bananas at .50 which cost $3.00

12 oranges at .75 which cost $9.00 and

3 papayas at $1.25 which cost $3.75

Step-by-step explanation:

We can set up a system of equations using the information given.

b for banana, r for orange, p for papaya

b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:

b + 2b + p = 21 The number of items.

50b + 75(2b) +125p = 1575 The cost.

I multiplied everything by 100 to eliminate the decimals.

To solve by substituion, rewrite the first equation to get a value for p in terms of b

p = 21 - 3b

Substitute this value in the second equation and solve for b.

50b + 150b + 125(21–3b) = 1575

200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:

–175b = 1575 –2625

–175b = –1050. Divide both sides by –175

b = 6

Substitute in the original equation to find the amount of each fruit:

b + r + p = 21

b = 6 bananas

r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.

6 + 12 + p = 21

p = 21 –18

p = 3 papayas

Complete question :

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.

The fitted line has a slope of 15.

What is the best interpretation of this slope?

Answer:

C.)

The model predicts that the score will increase 15 points for each additional hour of study time.

Step-by-step explanation:

The slope of a regression line represents the rate of change :

From the formula :

Rise / Run = (y2 - y1) / (x2 - x1).

The slope is a Coefficient which shows how much the dependent variable changes per unit change in the independent variable.

Hence, for a slope value of +15, which is positive, meaning an increase ; then the score obtained will increase by 15 per additional unit increase in hour of study.

Answer:

B and 96

Step-by-step explanation:

Khan academy

Sorry this took a while; calculated a lot of things.

Step-by-step explanation:

A.

Combined:

2.67 times 23.76 = 63.4392

2.67 times - 21 and 5/6 = -58.295

63.4392 - 31.85 -58.295 = -26.7058

If you mean do both separate:

63.4392 - 31.85 = 31.5892

-58.295 - 31.85 = -90.145

B.

Combined:

11 and 3/4 times 23.76 = 279.18

11 and 3/4 times 21 and 5/6 = 256.541666667

279.18 + 256.541666667 + 56 and 3/8 = 592.096666667

If you mean do both separate:

279.18 + 56 and 3/8 = 335.555

256.541666667 + 56 and 3/8 = 312.916666667

2 is 5% of 40

Hope it is useful

Answer:

10

30

18

Step-by-step explanation:

Answer:

p = 3.5 or p = 7/2

Step-by-step explanation:

-4p+9= -5

or, -4p = - 14

or, p = -14/-4

or, p = 7/2 = 3.5

Answer:

p = 3.5

Step-by-step explanation:

What you would do to get p is subtract 5 from both sides of the equation to leave the number and p, THEN divide both sides by the numerator of -4.

-4p + 9 = -5

      - 9     -9

__________

-4p = -14

__      __

-4         -4

Thus, p = 3.5