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lesantik [10]
4 years ago
15

The measure of the supplement of an angle is 60 degrees less than four times the measure of the complement of the angle. Find th

e measure of the angle
Mathematics
1 answer:
Kisachek [45]4 years ago
6 0

Answer:

Step-by-step explanation:

angle:: x

complemet: 90-x

supplement: 180-x

Equation:

180-x = 4(90-x)+60

180-x = 360 -4x + 60

3x = 240

x = 80 degrees (the angle)

90-x = 10 degrees (the complement)

180-x = 100 degrees (the supplement)

You might be interested in
2. The student council at Camp Creek Middle School determines that 3 out of 4
Gemiola [76]

Answer:

Hi there!

Your answer is:

996 students were apart of this survey!

Step-by-step explanation:

3 out of 4 students means that 75% of students prefer the assemblies be held on Friday.

If 75% = 747 students then:

/75

1% = 9.96 students

×100

100% = 996 students

I hope this makes sense!

8 0
3 years ago
Work out the value of six squared plus three cubed
IrinaK [193]

Answer:

63

Step-by-step explanation:

Based off of the question,we have a word problem that can be interpreted as the following. 6²+3³= ?

6² is the same as 6×6 which is equal to 36, In other words 6×6=36 or 6²=36

3³ is the same as 3×3×3 which is equal to 27, In other words 3×3×3=27 or

3³=27

Now with the product of each value in the word problem we can set up a statement as the following: 36+27= ?

Which when added together gives us the sum of 63, in other terms 36+27=63

concluding in our answer for the initial word problem. (6²+3³=63)

7 0
3 years ago
Choose the correct algebraic expression for the following: the quotient of y and 7
Levart [38]

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

7 0
4 years ago
Given the rectangle abcd shown below has a total area of 72. E is in the midpoint of bc and f is the midpoint of dc. What is the
scoray [572]

Refer to the attached image.

Given the rectangle ABCD of length 'l' and height 'h'.

Therefore, CD=AB = 'l' and BC = AD = 'h'

We have to determine the area of triangle AEF.

Area of triangle AEF = Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE

Area of triangle ADF = \frac{1}{2}bh

= \frac{1}{2}(DF \times AD)

= \frac{1}{2}(\frac{l}{2} \times h)

=\frac{lh}{4}

Area of triangle ECF = \frac{1}{2}bh

= \frac{1}{2}(CF \times CE)

= \frac{1}{2}(\frac{l}{2} \times \frac{h}{2})

=\frac{lh}{8}

Area of triangle ABE = \frac{1}{2}bh

= \frac{1}{2}(AB \times BE)

= \frac{1}{2}(l \times \frac{h}{2})

=\frac{lh}{4}

Now, area of triangle AEF =

Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE

= 72 - (\frac{lh}{4} + \frac{lh}{8} + \frac{lh}{4})

= 72 - (\frac{2lh+lh+2lh}{8})

=72 - (\frac{5lh}{8})

=72 - (\frac{5 \times 72}{8})

=\frac{72 \times 8 - (5 \times 72)}{8}

= 27 units

Therefore, the area of triangle AEF is 27 units.

8 0
3 years ago
Find the great is perfect square of 244
IgorLugansk [536]
I hope this helps you



244=4.61


2square roof 61
7 0
4 years ago
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