Answer:
x=10 and x-7 is the answer
Step-by-step explanation:
a)2x-7=13
2x=13+7
2x=20
x=20/2
x=10
b)3x+4=25
3x=25-4
3x=21
x=21/3
x=7
i hope it will help you
The ratio of 2:3 will not work. this is because when you add up all the parts of the ratio it should make a factor of 24. 2+3=5 which will not divide evenly into 24 whereas all the others will
Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)
W
----------
| |
| |
| | L = w+3
| |
| |
-----------
A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)
Need to solve this quadratic equation
w2 + 3y - 108 = 0
Factor:
(w - 9) (w + 12) = 0
So
w - 9 = 0. or. w + 12 = 0
Solve these and get
w = 9. or. w = -12
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 9 inches
Length = 12 inches
<h2><u>Angles</u></h2>
<h3>If angle 1 is 140°, then find the measure of the other angles.</h3>
- ∠2 = <u>40°</u>
- ∠3 = <u>40°</u>
- ∠4 = <u>140°</u>
- ∠5 = <u>140°</u>
- ∠6 = <u>40°</u>
- ∠7 = <u>40°</u>
- ∠8 = <u>140°</u>
<u>Explanation:</u>
- The relationship between ∠1 and ∠2 are <u>supplementary angles</u>, so when you <u>add up their measurements, it will become 180°</u>. Simply subtract 180 and 140 to get the measure of ∠2. As well as ∠3, they're <u>linear pairs</u>. And they are also <u>supplementary</u>. To determine the measure of ∠6 and ∠7, notice the <u>relationship</u> between ∠2 and ∠6. As you noticed, it is <u>corresponding angles</u>. So they <u>have the same measurement</u>. If <u>∠2 = 40°</u>, then <u>∠6 = 40°</u>. As well as ∠7, because the relationship between ∠6 and ∠7 are <u>vertical pairs</u>. So the angle measurement of ∠7 is also <u>40°</u>.
- Meanwhile, the relationship between ∠1 and ∠4 are <u>vertical pairs</u>. It means they also <u>have the same measurement</u>. So ∠4 = <u>140°</u>. The relationship between ∠1 and ∠5 are <u>corresponding angles</u>, so they also <u>have the same measurement</u>. If <u>∠1 = 140°</u>, then <u>∠5 = 140°</u>. The relationship between ∠1 and ∠8 are <u>alternate exterior angles</u>, and they also <u>have the same measurement</u>. <u>If ∠1 = 140°</u>, then <u>∠8 = 140°</u>.
Wxndy~~
