Before attempting to solve this question, we must first know three things.
1. A straight line has a measure of 180 degrees.
2. When two angles add up to 180 degrees, those angles are called supplementary.
3. The interior angles of a triangle add up to 180 degrees.
We can see ∠ECT = 180 degrees.
∠DCT is supplementary to ∠DCE.
∠DCT = 140 degreees
∠DCE = x degrees
x + 140 = 180
Solve for x.
x + 140 = 180
x = 40 <-- Subtract 140 from each side
∠DCE = 40 degrees
We know the two interior angles of ΔDEC.
45 + 40 + x = 180
Solve for x.
45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95
So, the missing angle is equal to 95 degrees.
Answer:
x ≤8/5
Step-by-step explanation:
6x - 9 ≥ 11x - 17
Subtract 6x from each side
6x -6x-9 ≥ 11x - 17-6x
-9 ≥ 5x- 17
Add 17 to each side
-9+17≥ 5x - 17+17
8≥ 5x
Divide each side by 5
8/5≥ 5x /5
8/5≥ x
X=10
Explaination:
130=8x+50
-50 -50
80=8x, then divide each side by 8 to get the variable alone
Answer:
D. 32 ft^2
Step-by-step explanation:
You find the mean of the two bases 7+9= 16 16/2=8 Then multiply 8 by 4 to get 32 ft ^2
a) Radicand is 1/4
b) x= 4.5 or -2.5
<h3>What is quadratic equation?</h3>
A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .
Given equation is:
16x²-8x+1=0
Now,
(4x)²-2*4x*1 + (1)²=0
Using
(a+b)²= a² + 2ab + b²
So,
(4x)²-2*4x*1 + (1)² = (4x+1)²
x=1/4
b) 4x² - 8x - 45 = 0
Using discriminant method
D = √[(-8)² - 4(4)(-45)]
= √784
= 28
Now, x = (1/8)[8 +/- 28]
= (1/8)(36) = 4.5
or, x = (1/8)(-20)
= -2.5
Learn more about this concept here:
brainly.com/question/4480807
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