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Volgvan
3 years ago
14

Solve for x. I need help with this problem. ​

Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

Rule: the two interior angles F and E when added, equal <FGH.

so

6x + 16 + 60 = 13x + 13  Combine the terms on the left.

6x + 76 = 13x + 13          Subtract 13 from both sides.

6x + 76-13 = 13x             Combine

6x + 63 = 13x                  Subtract 6x from both sides.

63 = 7x                            Divide by 7

63/7 = x

x = 9

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The radius of the circular lens of a magnifying glass is 4 centimeters.
Mila [183]

Answer:50.27 centimeters

Step-by-step explanation:

4 0
3 years ago
A yard is 3 times as long as it is wide. 176 feet of fencing is needed to enclose the yard. Find the dimensions of the yard
svet-max [94.6K]
The perimeter of a rectangle is twice the sum of its side lengths.

P=2(L+W), we are told that L=3W and P=176 so

2(3W+W)=176

2(4W)=176

8W=176

W=22 ft, since L=3W

L=66 ft

So the yard is 22 feet wide and 66 feet long.


5 0
3 years ago
Read 2 more answers
A company plans to scale it's logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground
Maksim231197 [3]

Answer:

enlargement and the scale factor is 6.4 feet per inch

Step-by-step explanation:

6 0
3 years ago
12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

6 0
3 years ago
4^(4x-1)=32 <br><br> How do I solve this problem? Do I do 4 to the fourth power first?
yKpoI14uk [10]

Answer:

\large\boxed{x=\dfrac{7}{8}}

Step-by-step explanation:

4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}

7 0
3 years ago
Read 2 more answers
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