Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
Answer:
Below
Step-by-step explanation:
● 7x (2x + 2)
● 7x*2x + 2*7x
● 14 x^2 + 14x
Ok so first we need to write a fraction.
75 percent/45 mins
then we convert that into a unit rate
1.67 percent/1 min
so, now that we have the unit rate, we know exactly how fast she is moving.
Now, we divide 25 by 1.67 because 25% is the distance between the completion of the gate and current state of the gate.
So we get 14.97, which we can safely round up to 15.
It will take her 15 mins more to finish the gate, and it has already taken 45, so 45+15=60
60 MINS TOTAL/ 1 HOUR
Answer:
A) Same shape
C) Similar
Step-by-step explanation:
The figure is missing: find it in attachment.
Here we want to compare the two triangles: Let's analyze each statement.
A) Same shape --> TRUE
In fact, we see that the 3 angles of the two triangles are the same: therefore, the two triangles have same shape.
B) Congruent --> FALSE
Two triangles are said to be congruent if they have same sizes and same angles: here we see that they do not have the same sizes, so they are not congruent.
C) Similar --> TRUE
Two triangles are said to be similar if the proportions between their sides are the same.
For the triangles in the figure, we see that this is valid. In fact, the ratio of the 3 sides for the triangle on the left is 10:8:6, while the ratio for the triangle on the right is 20:16:12, which can be reduced to 10:8:6: therefore, the same ratio.
D) Same size --> FALSE
As we see, the two triangles do not have the same size.