Answer:
The smaller board would be 2.75 feet and the longer one would be 10.25 feet.
Step-by-step explanation:
In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.
x + (x + 7.5) = 13
2x + 7.5 = 13
2x = 5.5
x = 2.75
Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.
2.75 + 7.5 = 10.25
The value of the expression 4(5² - 3 - 2x)² is <u>576</u>.
In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.
To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.
The term 5² = 25.
The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.
Taking the terms back to the expression, we get:
4(5² - 3 - 2x)²
= 4(25 - 3 - 10)²
= 4(12)²
= 4(144)
= 576.
Thus, the value of the expression 4(5² - 3 - 2x)² is <u>576</u>.
Learn more about solving expressions at
brainly.com/question/723406
#SPJ9
Answer:
66
Step-by-step explanation:
12(8)-9(8-6)-(12-9)(8)÷2=96-18-12 or 6(9)+(12-9)(8)/2=54+12
= 66 =66
Given:
Measure of arcs 50°, 115° and 85°
To find:
The measure of the numbered angle 5.
Solution:
Let the missing arc measure be A.
The arc measure of a full circle is 360°
m(ar A) + 50° + 115° + 85° = 360°
m(ar A) + 250° = 360°
Subtract 250 from both sides.
m(ar A) = 110°
<em>If two chords intersects inside a circle, then the measure of the angle formed is half of the sum of intercepted arcs.</em>
The measure of the numbered angle is 112.5°.