Answer:
7 yd
Step-by-step explanation:
The sum of horizontal measures is the same across the top and bottom:
15 yd = 8 yd + ?
7 yd = ? . . . . . subtract 8 yd from both sides
The missing side length is 7 yd.
Answer:
Both of them would have a 1/6 chance of being chosen
Step-by-step explanation:
Sorry I don't know if this is the answer you are looking for :(
Answer:
x + 96 = 90°
x + 89 = 80°
Step-by-step explanation:
<u>Consecutive Interior Angles Theorem</u>
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
<u>Question 1</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 96 = -6 + 96 = 90°
<u>Question 2</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 89 = -9 + 89 = 80°
The first step for finding out whether or not this expression is equivalent to
is to reduce the fraction with
. You can begin to do this by dividing the terms with the same base by subtracting their exponents.
Subtract the exponents.
Now reduce the fraction with
by doing the same process. Since I just showed you how to do this,, I will skip over this.
Since we cannot simplify this expression any further,, your answer is going to be
,, which is not equivalent to
.
Let me know if you have any further questions.
:)
