Answer:
C.) A dilation. It got bigger so its a dilation
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
The solution to these equations is either x < 0 or x > 3.
In order to find them, we need to solve each equation separately. Let's start with the first one.
2x - 1 < -1 -----> Add 1 to both sides
2x < 0 -----> Now divide each side by 2.
x < 0
Now let's look at the second one.
-4x < -12 ----> Divide both sides by -4
x > 3 (Notice that the sign changes direction because we divided by a negative)
When you have an "or" statement, you'll wind up with two answers, so we use both of these.
No solution to this problem
Answer:
Remember that a triangle's area is bh/2, where
b = base
h = height
So. You start with a triangle of base b and height h, add 2 to the height, and get a triangle of area 82.5.
b(h+2)/2 = 82.5
b(h+2) = 165
What you want to do from here is test the b and h from the choices given, and figure out which b and h satisfy this.
(a) If b=13 and h=15, b(h+2) = 221 nope.
(b) If b=9 and h=11, b(h+2) = 117 nope.
(c) If b=11 and h=13, b(h+2) = 165 that's it!
Step-by-step explanation:
