Answer:
x = 14
Step-by-step explanation:
2(4x+1) + (5x-4) = 180
13x-2=180
x = 182/13 = 14
It is an isoceles triangle, so D = E
F = 66
D = E = 57
Well $13-$5 gives the total money she can spend on songs which is $8. then divide 8 by 0.58 = 13.79. so she can download only 13 songs
Answer:
Perry's claim is correct while Karina is incorrect
Step-by-step explanation:
Question is incomplete (See Attachment)
First, we need to determine the area covered by Karina and Perry
For Karina, there are 9 square boxes each of which has an area of 1 unit sq
So:
![Karina = 9 * 1\ unit^2](https://tex.z-dn.net/?f=Karina%20%3D%209%20%2A%201%5C%20unit%5E2)
![Karina = 9\ unit^2](https://tex.z-dn.net/?f=Karina%20%3D%209%5C%20unit%5E2)
For Perry:
There are 18 square boxes, each of which has an area of 1 unit sq.
So:
![Perry = 18 * 1\ unit^2](https://tex.z-dn.net/?f=Perry%20%3D%2018%20%2A%201%5C%20unit%5E2)
![Perry = 18\ unit^2](https://tex.z-dn.net/?f=Perry%20%3D%2018%5C%20unit%5E2)
Comparing both areas, we can conclude that <em>Perry's claim is correct while Karina is incorrect</em>
Answer/Step-by-step explanation:
The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.
Therefore:
7. <E = <G
Sum of interior angles of a quadrilateral = 360
Thus,
<E = (360 - (150 + 90))/2
<E = 120/2
<E = 60°
<E = <G (set of congruent opposite angles of a kite)
Therefore,
<G = 60°
8. <H = <F (set of congruent opposite angles of a kite)
<F = right angle = 90°
Therefore:
<H = 90°
<G = 360 - (90 + 110 + 90) (sum of quadrilateral)
<G = 70°
9. Based on trapezoid midsegment theorem, the equation should be:
MN = (AB + DC)/2
Thus:
8 = (14 + DC)/2
8 * 2 = 14 + DC
16 = 14 + DC
16 - 14 = DC
2 = DC
DC = 2
10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.
Therefore, m<A ≠ 50°
Rather, m<B = m<D = 120°
m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)
m<A = 70°
Hi!
The set up for the question is like this:
![\frac{4x + 5}{6} = \frac{7}{2} \\2*(4x + 5) = 7*6\\8x + 10 = 42\\8x = 42 - 10 = 32\\x = 32/8\\x = 4](https://tex.z-dn.net/?f=%5Cfrac%7B4x%20%2B%205%7D%7B6%7D%20%3D%20%5Cfrac%7B7%7D%7B2%7D%20%5C%5C2%2A%284x%20%2B%205%29%20%3D%207%2A6%5C%5C8x%20%2B%2010%20%3D%2042%5C%5C8x%20%3D%2042%20-%2010%20%3D%2032%5C%5Cx%20%3D%2032%2F8%5C%5Cx%20%3D%204)
Hope this helps!