use the pythagorean theorem twice
alrighty
so
remember for legs length a and b and hytponuse c in a right triangle
a²+b²=c²
we need AD and DC
so
AD²+7.9²=9.4²
AD=√25.95
DC²+7.9²=23.2²
DC=√475.83
so
AD+DC=base=(√25.95)+(√475.83)≈26.9076
AC≈26.91 units
Answer:
Step-by-step explanation:
x^2-1=0
Add 1 to both sides of the equation.
x^2=
1
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
1
Any root of 1 is x
=
±
1
First, use the positive value of the ±
to find the first solution.
x=
1
Next, use the negative value of the ±
to find the second solution.
x
=
−
1
The complete solution is the result of both the positive and negative portions of the solution.
x
=
1
,
−
1
Answer:
-8
Step-by-step explanation:
you have to make them equivalent so and the one thing missing from the other side of the equation
Answer:
B. 7x - 5
Explanation
Given the expression 21x^2 + 13x – 20, to get which of the given expression is a factor we will have to factorize the equation first as shown;
21x^2 + 13x – 20
= 21x^2 + 28x - 15x - 20
= 7x(3x+4) -5(3x+4)
= (7x-5)(3x+4)
Hence one of the factors is 7x - 5
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.
