Answer:
x = 4
Therefore, for the triangles to be congruent by HL, the value of x must be 4.
Step-by-step explanation:
Given: ΔABC and ΔHGL are congruent. ∠ABC = ∠HGL = 90°.
Length of hypotenuse AC = 15
Length of hypotenuse HL = 3x + 3
Length of AB = 9, Length of BC = 12 and Length of GL = 2x + 1.
Sol: ∵ ΔABC ≅ ΔHGL
Length of HL = Length of AC (corresponding parts of congruent triangles)
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
Therefore, for the triangles to be congruent by HL, the value of x must be 4.
The r means Ray in your question
Answer:
y = 6x + 9
Step-by-step explanation:
Δy =-3-3 = -6
Δx =-2-(-1) = -1
Slope = Δy/Δx = 6
Point-slope equation for line of slope 6 that passes through (-1,3):
y-3 = 6(x+1)
Rearrange to solve for y:
y = 6x + 9
every choice except A quadratic questions
<h2>Answer:</h2>
[1] Area of base = 13 × 13 = 169in².
Area of faces = 4 (1/2 × 13 × 8) = 208in².
Surface area = (169 + 208)in² = 377in².
[2] Area of base = 1/2 × 5.2 × 4.5 = 11.7in².
Area of faces = 3 (√3/4 × 5.2²) = 35.1in².
Surface area = (35.1 + 11.7)in² = 46.8in².
[3] Area of base = 7 × 10 = 70in².
Area of faces = 2(1/2 × 7 × 6) + 2(1/2 × 10 × 4.8)
= 98in².
Surface area = (70 + 98)in² = 168in².
