B.
When two lines intersect they form two pairs of opposite angles.
Vertical angles are always congruent, which means that they are equal.
so m<7 = m<8 or m<3y + 19 = m<5y-29
C. solve for y and measure <7 and <8
3y + 19 = 5y-29
5y - 3y = 19+29
2y = 48
y = 24
so
5y-29 = 5(24) - 29 = 91
3y + 19 = 3(24) + 19 = 91
so <7 = 180 - 91 = 89
<7 = <8 = 89
First, you find how many total feet Rick can afford. To do this, you do 2000/20 which equals 100. Then, you write your inequality. 100 is less than or equal to 2x+6. Next, you solve your inequality. You subtract 6 on both sides to get 94 equals 2x. To solve this, you divide by 2 on both sides. In this scenario, x stands for the width.
2 x radius.
Description
In geometry, a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle. Both definitions are also valid for the diameter of a sphere.
Answer: £5000
Step-by-step explanation:
If 12% decrease = £600
Then (100- 12)% = x
100% = x
0.12x = 600 x 0.88
0.12x = 528
Divide both sides by 0.12
£4400
Therefore, original price before 12% decrease was £5000
Answer:
79.95
Step-by-step explanation:
The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).
12% becomes -0.12
8% becomes 0.08
Now, let's solve.
79.99 - 0.12 + 0.08
Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.
Evaluating 79.87 + 0.08, we get the final answer, 79.95.
