Hi! so what you want to do is first set up a proportion, if you know that the two triangles are congruent because abc~def you know that the proportion will work out. the proportion to set up is 54/72 from there you should know that 9 goes into both 72 and 54 so when you reduce you’d be left with 6/9 which you could further reduce to 2/3. then you can find the other sides by multiplying 92 by 2/3 and you’d get 61 and 84 by 2/3 where you’d get 56. However since you are supposed to find the perimeter, you would add all three sides together (54+56+61) and you’d be left with 171. hope this helps
Answer:
angle 2 = 122
Step-by-step explanation:
we can substitute the angles for x and x+64
since they are supplementary, we know the some is 180
so we can form the equation x + x + 64 = 180
solve for x and we get 58
so angle 2 is 122
-9x(5 - 2x) Distribute/multiply 9x into (5 - 2x)
(-9x)5 - (-9x)2x
-45x - (-18x²) 2 negative signs cancel each other out and become +
-45x + 18x² Your answer is A ( the first option)
Vertex<em> </em>is at ![\left(-3,-6\right)](https://tex.z-dn.net/?f=%5Cleft%28-3%2C-6%5Cright%29)
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
Step-by-step explanation:
The graph of the equation is hereby attached in the answer area.
Vertex is the point on the parabola where the graph crosses its axis of symmetry. The axis of symmetry here(
), is shown with the dotted line in the graph attached.
<em>y-intercept </em>is defined as the value of y where the graph crosses the y-axis. In other words, when
. Putting
And, the graph opens up as shown the graph figure as well. It is also evident from the co-efficient of
in the given equation
. Here, co-efficient of
So, vertex<em> </em>is at ![\left(-3,-6\right)](https://tex.z-dn.net/?f=%5Cleft%28-3%2C-6%5Cright%29)
<em>y-intercept</em> is 3.
The parabola <em>opens up</em>.
25%=25/100=1/4
x=is that value
1/4 of x=15
We have to solve the following equation:
x(1/4)=15
x/4=15
x=15*4
x=60
Answer: 60 is the value.