Answer:
x=5
AOB = 8
BOC = 13
AOC = 21
Step-by-step explanation:
<em>Angle AOB and Angle BOC is equal to Angle AOC.</em>
AOB = x+3
BOC = 4x-7
AOC= 2x+11
AOB + BOC = AOC
x+3+4x-7 = 2x+11
5x-4 = 2x+11
3x = 15
x = 5
Therefore, the value of x is 5.
<em>Angle AOB = x+3</em>
AOB = 5+3
AOB = 8
<em>Angle BOC = 4x-7</em>
BOC = 4(5)-7
BOC = 13
<em>Angle AOC = 2x+11</em>
AOC = 2(5)+11
AOC = 21
!!
Supplementary and adjacent.
Two angles are called supplementary when their measures add up to 180 degrees.
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
Answer:
since Sonia saved 45$ in 5 weeks and 70$ in 10 weeks. we are to find the amount she saved up in x weeks.
let's make the amount y
so x= y
5 = 45 cross multiplying the values
we then have 45x= 5y
y= 7x
x=y
10=70
10x = 70y
y= 7x = y=5x+ 20, y = 20x+5
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

Now solving these equations to find the value of x

Multiply eq(1) with 2 and eq(2) with 5

We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.

So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
Answer:

Step-by-step explanation:
we know that
The area of the polygon is equal to the area of a square plus the area of four congruent triangles
so
![A=b^2+4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=A%3Db%5E2%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
where

substitute
![A=8^2+4[\frac{1}{2}(8)(4)]](https://tex.z-dn.net/?f=A%3D8%5E2%2B4%5B%5Cfrac%7B1%7D%7B2%7D%288%29%284%29%5D)
