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°
Answer:
Range: 22
Median: 79
Mode: 80
Step-by-step explanation:
I hope this helped and have a nice day! Also can I have brainliest?
Answer:
El ascensor recorrió unos 39 metros
Step-by-step explanation:
Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:
metros desde el primer piso al quinto piso=3 metros*4=12 metros
metros desde el quinto piso al segundo piso=3 metros*3=9 metros
metros desde el segundo piso al octavo piso=3 metros*6=18 metros
Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros
metros que recorrió el ascensor=39 metros
El ascensor recorrió unos 39 metros
Answer:
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Let 'x' be the length of the rectangle
Given that the width is 3 feet shorter than the length
The width of the rectangle = x -3
Area of the rectangle = length × width
<u><em>Step(ii):-</em></u>
Area of the rectangle = length × width
= x ( x-3)
Given that the area of the rectangle = 70 square feet
x ( x-3) = 70
⇒ x² - 3x - 70 =0
⇒ x² - 10 x + 7 x - 70 =0
⇒ x (x -10) +7( x-10) =0
⇒ ( x+7) ( x-10) = 0
⇒ x =-7 and x=10
<u><em>Final answer:</em></u>-
we choose x=10
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm