Answer:
(-7, -3)
Step-by-step explanation:
Do it in two steps:
a) First mirror point (7,3) in x-axis gives (7, -3).
Then the next step...
b) ...mirror point (7, -3) in y-axis gives (-7, -3)
Please understand that the outcome is the same, if you first mirror in y-axis and then mirror in the x-axis.
Just to demonstrate this:
a) If you irst mirror point (7,3) in y-axis gives (-7, 3).
Then the next step...
b) ...mirror point (-7, 3) in x-axis gives (-7, -3)
I used mathway to answer this and it said it was -6y(to the second power)+8y
The number of student tickets, we will represent with the variable, s.
The number of adult tickets, we will represent with the variable, a.
Now we convert the next sentence to an mathematical statement, and since student tickets are $5 and adult tickets are $8, we get:
$2065 = $5 * s + $8 * a
Now, the last sentence of the problem:
62 + a = s
Now we have two variables and two equations so we can solve the problem.
Substitute (62 + a) for s in the top equation
$2065 = $5 * (62 + a) + $8 * a
$2065 = $310 + $5 *a + $8 *a
$2065 - $310 = $13 *a
$1755 = $13 * a
a = 135
Now to find s, we use the bottom equation,
s = 62 + a = 62 + 135 = 197
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°
The answer Is the top answer
