Answer:
45°
Step-by-step explanation:
= 45°
Can someone please tell me if these triangles are similar or not, and why.
2 answers:
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Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
So our angles are a=40, b=50, c=115.
Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
So our angles are a=40, b=50, c=115.
Answer:
The factored form is
.
Step-by-step explanation:
Given :
We have to write the given expression in factored form.
Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression
Consider the given expression .
We know the algebraic identity
Here .
Comparing with identity stated above , we have x= a , b = 11 , thus, we get
.
Thus, the factored form is
.
Answer:
The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.
Step-by-step explanation:
Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.
The goal of the environmental initiative is to save at least 25 million hectares of rain forest.
That is:
<em>X</em> + <em>Y</em> = 25....(i)
Now it is provided that:
- The cost of planting trees is $ 400 per hectare.
- The cost of purchasing land is $ 260 per hectare.
- The initiative has a budget of $8,250 million.
Using the above data it can be said that:
400<em>X</em> + 260<em>Y</em> = 8250....(ii)
Solve equations (i) and (ii) simultaneously.
Then the value of <em>y</em> is:
Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.