Answer:
Ummm, so the answer is A. (-3,-2)
StepByStep Solution:
5x + 7(x+1) =-29
5x+7x+7=-29
12x=-36
x=-3
y=-3+1
y=-2
Answer:
(7,6)
Step-by-step explanation:
Answer:
The length of the hypotenuse is 2 square root of 13 ⇒ c
Step-by-step explanation:
The rule of the area of the right triangle is A =
× leg1 × leg2, where
leg1 and leg2 are the sides of the right angle
∵ The area of a right triangle is 12 in²
∵ The ratio of the length of its legs is 2: 3
→ Let leg1 = 2x and leg2 = 3x
∵ leg1 = 2x and leg2 = 3x
→ Substitute them in the rule of the area above
∴ 12 =
× 2x × 3x
∵ 2x × 3x = 6x²
∴ 12 =
× 6x²
∴ 12 = 3x²
→ Divide both sides by 3 to find x²
∴ 4 = x²
→ Take √ for both sides
∴ x = 2
→ Substitute x in the expressions of leg1 and leg2 to find them
∴ leg1 = 2(2) = 4 inches
∴ leg2 = 3(2) = 6 inches
∵ hypotenuse =
∴ hypotenuse = 
∵ The simplest form of
= 2
∴ The length of the hypotenuse = 2
inches
The answer for the first slot is Alternate Interior Angles Theorem
Angle B and angle G are inside the "train tracks" formed by AB and GH. They are on opposite sides of the transversal line BG.
Along a similar line of reasoning, the answer for the second slot is Alternate Exterior Angles Theorem
The two parallel lines in question are AC and FH. The transversal line is FC. Angles ACB and HFG are on the exterior of the "train tracks" formed by the parallel lines.
Answer:
12:27
Step-by-step explanation:
27 - 15 = 12
There are 12 girls and 15 boys.
12:27 is the ratio of girls to the total amount of students.