3 years ago

What is the value of x?

1 answer:

8 0

The external angle is equal to the sum of the opposite internal angles.
.. 6x +1 = (2x +10) +79
.. 4x = 88 . . . . . . . . . . . . . subtract 2x+1
.. x = 22

You might be interested in

A circle with area 36 pi has a sector with a central angle of

abruzzese [7]

Answer: 36 pi over 7.5

Step-by-step explanation:

7 0

4 years ago

PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer

Ivan

Answer:

1.5 Quarts

Step-by-step explanation:

A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.

So the bucket contains 1.5 Quarts.

4 0

3 years ago

Mr. Poyser uses 4 2/3 cups of flour to make 7 dozen oatmeal-raisin cookies.

Jobisdone [24]

Answer:X unknown cu. of flour/ 5 dozen cookies

3 0

2 years ago

The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g

Over [174]

$\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}$

$\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12$

7 0

3 years ago

Read 2 more answers

Find the value of x, y, and z in the rhombus below.

34kurt

Answer:

Step-by-step explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99

3 0

3 years ago

Read 2 more answers