Answer:
90.4°
Step-by-step explanation:
Use Law of Cosines to solve:
12² = 9² + 8² - 2(9)(8)Cos X
144 = 81 + 64 - 144Cos X
-1 = -144Cos X
-1/144 = Cos X
Cos^-1 (-1/144) = X
X = 90.39789056°
Answer:
4 * 10^6
Step-by-step explanation:
3,796,742 is about 4,000,000
4 * 10^? = 4,000,000
4 to 4,000,000 is an extra 6 zeroes
? = 6
4 * 10^6
Answer: 77°
Step-by-step explanation:
First we are going to find x and then insert it in 18x +5 to be able to get our <WZX
But to find x, we will have to apply the the exterior angle theorem
The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges
Using this theorem, then from the diagram above ;
18x + 5 = 48 + 8x - 3
we collect like term
18x - 8x = 48-3-5
10x = 40
Divide bothside by 10
10x/10 = 40/10
x = 4
but <WZX = 18x + 5
Then we substitute x=4
<WZX = 18(4) + 5
<WZX = 72 +5
<WZX =77
Therefore the measure of <WZX is 77°
Using the rational root theorem, it is found that your friend is correct.
<h3>What is the rational root theorem?</h3>
- It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format
.
In this problem:
- The leading coefficient is 1, hence it's only factor is
, thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.
To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559
Answer with explanation:
In Δ ABC and ΔD BC
∠A=∠D-------Given
∠ABC=∠DCB-------Each being 90° given in the Diagram.
Side, BC is Common.
⇒⇒Δ ABC ≅ ΔD BC-------[AAS]
When two triangles are congruent , their areas are equal.
So, Area(ABC)=Area (DCB)
Option B :⇒ A AS
