Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
- In any triangle, the sum of the measures of its interior angle is 180°
- In the isosceles triangle, the two base angles are equal in measures
∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
range = largest - smallest
= 22 - (-15)
= 22 + 15
= 37
So what I would do is first multiply the mean by 4 and that is the total u need, 146.5, to have a mean of 36 and 5/8. Next I add the lengths given, which is 110.625, and then I would subtract it from 146.5 which is 35.875 which is 35 and 7/8. You can also check the answer by finding the mean of the 4 numbers and determining if it comes out to 36 and 5/8. The answer is C. Hope this helps!
Answer: 3 13/24
Step-by-step explanation:
<u>Turn 7 1/6 into an Improper Fraction:</u>
43/6 - 3 5/8
<u>Turn 3 5/8 into an Improper Fraction:</u>
43/6 - 29/8
<u>Subtract:</u>
43/6 - 29/8= 85/24
<u>Turn 85/24 into a Mixed Number (Final Step):</u>
85/24 = 3 13/24
<u>Answer:</u>
3 13/24
Hope this Helps!
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Answer:
288 will be ur ans
Step-by-step explanation:
1440 x 80/100
=1152
1440-1152
=288
