Answer:
x = 15°
Step-by-step explanation:
<u>We are given;</u>
sin(2x + 7) = cos(4x - 7)
We are required to solve for the value of x
- We need to know that for complementary angles;
Sin θ = Cos (90-θ) where, θ and 90-θ are complementary angles.
- Complementary angles are angles that add to 90°
- Therefore;
(2x +7) + (4x - 7) = 90
6x = 90
x = 15°
Therefore, the value of x is 15°
Step 1: If there is a common factor, factor out the GCF. Step 2<span>: Identify the number of terms: (i) If polynomial has two terms, convert polynomial into difference of two squares or sum of two cubes or difference of two cubes.</span>
Answer:
445
Step-by-step explanation:
Just add the 200 to 245
Answer:
286
Step-by-step explanation:
Given : Myra asked Annabelle to buy her some perfume while she was in France. Annabelle paid 200 euros for it. Myra wants to pay Annabelle back in U.S. dollars.
To Find: If the foreign exchange rate between the U.S. dollar and the euro is 1:0.7, how much should Myra pay Annabelle?
Solution:
Since Annabelle paid 200 euros
And Myra wants to pay Annabelle back in U.S. dollars.
Let Myra paid amount to Annabelle in U.S. dollar be x
We are also given that the U.S. dollar and the euro is 1:0.7
⇒
⇒
⇒
⇒
⇒285.7≈286
Thus Myra should pay $286 to Annabelle
Answer:
Option C. x = 5
Step-by-step explanation:
To solve this question we should always keep these two points in our mind.
1). In-center of a triangle is formed by the intersection of the angle bisectors of all interior angles of the triangle.
2). In-center of a triangle is equidistant from all three sides of the triangle.
From the figure attached,
In ΔSRT,
∠ASZ ≅ ∠ZSB [ SZ is an angle bisector of angle ASB]
5x - 9 = 16 [ given in the question]
5x = 16 + 9
5x = 25
x = 
x = 5
Therefore, Option C. is the answer.