Answer:
m<PQR = 82°
Step-by-step explanation:
In a Rhombus, the diagonals bisect its angles. This means that they divide each the four angles into two equal parts.
Therefore:
(4x - 27)° = (2x + 7)°
Solve for x
4x - 27 = 2x + 7
Collect like terms
4x - 2x = 27 + 7
2x = 34
Divide both sides by 2
2x/2 = 34/2
x = 17
✔️m<PQR = (4x - 27) + (2x + 7)
Plug in the value of x
m<PQR = (4*17 - 27) + (2*17 + 7)
m<PQR = 41 + 41
m<PQR = 82°
The sides of the frame are (12+2x) and (6+2x).
Its area A is 112.
Therefore by equating:
(12+2x)*(6+2x)=112
you can get the answer for x. You will obtain a quadratic equation you have to solve.
Answer:
DE = 21
Step-by-step explanation:
Recall: the ratio of the corresponding side lengths of similar triangles are equal
Given that ∆ABC ~ ∆DEF, therefore,
AB/DE = BC/EF = AC/DF
AB = 8.4
DE = x
BC = 10
EF = 25
AC = 16.5
DF = 41.25
Let's find DE using AB/DE = BC/EF. Thus:
8.4/x = 10/25
Cross multiply
x*10 = 25*8.4
10x = 210
Divide both sides by 10
x = 210/10
x = 21
DE = x = 21
So first you would have to do is read the problem carefully and understand what it's asking you and what I mean is look for some clues that would help you to solve the problem. For instance, the word fewer is a good word to help us because the word fewer means less or taking away and so what that tells us is, what we have to do is subtract 1089 points from 14370 points they want to know how many points did Amy scored and so in order to do that we need to subtract and so our final answer would be 13281 as our final answer and so thank you for this question and keep in mind that you always have to read the question carefully in order to understand. So Amy scored 13281 in the game. Have a blessed day.
