1st pic
It's a rhombus
- <span>None of the angles are 90 degrees (can't not be rectangle or square)
- Opposite angles are equal
Top triangle
180 - ( 72 + 72 )
=180 - 144
= 36
same as bottom triangle....
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2nd pic.
Rhombus...
opposite angles are equal
so m<1 = m<2 = 160
180 - 160 = 20
m< 3 = 20/2 = 10
answer
</span>m<2 = 160
m<3 = 10<span>
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3rd pic.
</span> <span>isosceles trapezoid
</span>
<span>The legs are congruent by definition
</span>
so AB = CD
7y - 4 = 8y - 18
7y - 8y = -18 + 4
- y = -14
y =14
answer y = 14
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pic 4
A(-5, -1), B(-9, 6) C (-1, 5) D(3,-2)
A(-5, -1) and C (-1, 5) ---find slope of 1st pair
slope = (5 + 1)/(-1 + 5) = 6/4 = 3/2
B(-9, 6) D(3,-2)---find slope of 2nd pair
slope = (-2 -6)/(3+9) = -8/12= -2/3
slope of 2nd pair (-2/3) is negative and reciprocal of the 1st pair (3/2)
so it's perpendicular
Answer:
1/3
Step-by-step explanation:
First, since the building is 5.5 inches and the scale is 1 inch for 8 feet, you would multiply 5.5* 8 to get 44 feet.
Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
Answer:
2
Step-by-step explanation:
any expression divided by 1 remains the same
you can also calculate the factorial