Answer:
6
Step-by-step explanation:
It appears you have vertical angles. The rule with angles is that no matter what, vertical angles are always congruent (or the same). This means you would have to set up the equation to solve for "b" as:
70 - 2b = 28 + 5b
You could solve this manually, but Desmos graphing calculator is faster. Simply type this in and replace b with x and it will give you the answer, which is 6. Hope this helps!
Answer:
Marie ran at a faster rate. It takes 27 minutes for Lisa to run 15 laps while it takes Marie 26.25 minutes to run 15 laps.
Step-by-step explanation:
18 ÷ 10 = 1.8 (Lisa's rate)
14 ÷ 8 = 1.75 (Marie's rate)
1.8 x 15 = 27 minutes (How long it takes for Lisa to run 15 laps)
1.75 x 15 = 26.25 (How long it takes for Marie to run 15 laps)
160 minus 147 is 13 13 over 160 multiplied by 100 equals 8.125 percent
Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
Answer:
i. Two angles can be vertical and supplementary.
ii. Yes, we can determine the angles.
Step-by-step explanation:
When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to 180 degrees .
It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is 90 degrees .
This answer is right. Please mark Brainliest!
