9514 1404 393
Answer:
less than -5
Step-by-step explanation:
The open circle indicates that -5 is not part of the solution set. This means the inequality will not include "or equal to."
The arrow pointing to the left indicates values less than -5 are in the solution set.
p < -5
You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard. If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).
This means the other two sides would also be 3 times longer.
6 yards x 3 = 18
8 yards x 3 = 24
To find the area using these dimensions, you will use the formula for finding the area of a triangle.
A = 1/2bh
A = 1/2 x 18 x 24
A = 216 square yards
The area of the backyard is 216 square yards.
Answer:
x = 5
Step-by-step explanation:
To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:
∠D = 10x
50° = 10x
Divide each side by 10 to isolate x:
50/10 = 10x/10
x = 5
Answer:
Step-by-step explanation:
Part A
Area of a rectangle = length x width
Garden area = 7 3/4 x 2 2/3
= 31/4 x 8/3
= 62/3
= 20 2/3 square feet
Part B
5/8 of the area = 62/3 * 5/8
= 31*5 / 3*12
= 155 / 36
= 4 11/36
The question asks to do so without calculation - the only way is that because the length is approximately 8 feet, section off 5 feet along the length will give an area approximately 5/8 of the total area.
Answer:
6
Step-by-step explanation:
