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3 years ago

Math study show work

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Step-by-step explanation:

for the 2 lines to be parallel the angles of crossing the third line must be equal.

and it is a given for 2 crossing lines, that the right top angle is equal to the left bottom angle, and the left top angle is equal to the right bottom angle.

therefore, the 2 indicated angles must be equal :

3x + 48 = 6x

48 = 3x

x = 16

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allsm [11]

In decimal form it’s 3.146

4 0

3 years ago

By exercising regularly, Abby was able to improve her running right this year. Last year, Abby ran a mile in 12 minutes. This ye

OleMash [197]

Answer:

She decreased her running time at a rate of 16.67%

Step-by-step explanation:

In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.

Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%

We input the values and proceed as follows:

Percentage decrease = (10-12)/12 * 100

-2/12 * 100/1 = -1/6 * 100 = -16.67%

Since it’s a decrease, we just simply say that her running time decrease by 16.67%

4 0

3 years ago

2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *

Mamont248 [21]

Answer:

Step-by-step explanation:

2x+19=x+23

We simplify the equation to the form, which is simple to understand

2x+19=x+23

We move all terms containing x to the left and all other terms to the right.

+2x-1x=+23-19

We simplify the left and right sides of the equation.

+1x=+4

We divide both sides of the equation by 1 to get x.

x=4

5 0

3 years ago

The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would

vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

$T_A=4.225+1.375+3=8.6$

The total sales tax for Florida is:

$T_F=6.5+1+1.625=9.125$

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

$1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8$

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

$ST_A=1500\cdot T_A=1500\cdot 0.086=129$

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0

3 years ago

The set of ordered pairs in the mapping below can be described as which of the following?

PIT_PIT [208]

Because the x numbers are used more than once it cannot be a function. As for the the relation if its going through the origin then it would be a relation. im going to go with D

4 0

3 years ago