7^5 is your answer
Hope this helps
Answer:
The Angles of △SPT are
Step-by-step explanation:
step 1
Find the measure of angle PET
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given values
step 2
Find the measure of angle PTE
we know that
The sum of internal angles of a triangle must be equal to 180 degrees
In the triangle PET
substitute the given values
step 3
Find the measure of angle STP
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given values
step 4
Find the measure of angle SPT
we know that
----> by supplementary angles
step 5
Find the measure of angle PST
we know that
The sum of internal angles of a triangle must be equal to 180 degrees
In the triangle SPT
substitute the given values
Answer:
C. x + 6
Step-by-step explanation:
Start by factoring completely the numerator and the denominator.
2x + 12 = 2(x + 6)
x^2 + 7x + 6 = (x + 1)(x + 6)
The only common factor is x + 6, so the GCF is x + 6
Answer:
f=6
g=8
Step-by-step explanation:
If ABCE is a trapezium, AD is parallel to BC, and angle C is a right angle, ABCD must be a rectangle. You know that since ABCE has an area of 60 and ABCD has an area of 48, ADE must have an area of 12. Because the area of a triangle is bh/2, AD must be 6 and therefore f must be as well. Since ABCD has an area of 48, g must be 48/6=8. Hope this helps!
Answer: x² - 5x - 14
Step-by-step explanation: Start with the formula for the area of a rectangle.
Area = length x width
To multiply these two binomials, let's use the F.O.I.L. method.
The product of the first terms is x².
The product of the outer terms is -7x.
The product of the inner terms is 2x.
The product of the last terms is -14.
So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.
