Answer:
4
Step-by-step explanation:
ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.
Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.
EF ≅ BC
x² + 8x = 48
x² + 8x − 48 = 0
(x + 12) (x − 4) = 0
x = -12 or 4
Since x can't be negative, x = 4.
Answer:
c=y-3x^2-18x
axis of symmetry:
X=-3
Step-by-step explanation:
Answer:
Center: (0, 0)
Radius: 4
Step-by-step explanation:
Circle Standard Equation: (x - h)² + (y - k)² = r²
(h, k) is center
r is radius
We see that our <em>h</em> and our <em>k</em> are both 0.
∴ Our center is (0, 0), origin.
We see that our r² = 16
√r² = √16
∴ Our radius is equal to 4
Answer:
1. 37.0 in²
2. 55 m²
Step-by-step explanation:
1) all angles in an equilateral triangle are 60°
The dotted line is an angle bisector which also divides the triangle into two congruent right angle triangles
Find the base using trig ratio
cos(30) = 8/base
base = 16sqrt(3)/3
Area = ½ × 16sqrt(3)/3 × 8
= 36.95041723 in²
2. d1: 5 + 5 = 10
d2: 3 + 8 = 11
Area = ½ × 10 × 11
= 55 m²
Start with stating the numerators