Answer:
-33
Step-by-step explanation:
- 8 - (-2 + 7)^2
Order of operation
= - 8 - (5)^2
= - 8 - 25
= -33
If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. False, diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles. A kite with all consecutive angles congruent must be a square.
The value of x is 10, in the diagram, Vertically opposed angles
What is Vertically opposed angles?
Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.
Here in the diagram 5x = 2y
y = 5X/2
We have 2y+2y+8x = 180 in a straight line.
So 4y+8x = 180
4(5x/2) +8x = 180
10x+8x = 180
x = 180/18
x = 10
Hence, the value of x is 10, in the diagram.
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Answer:
C
Step-by-step explanation:
Two pyramids are similar. It means that their side lengths are proportional.
So, let's see the proportionality constant from SMALL PYRAMID to LARGE PYRAMID.
The corresponding length of 8 in small pyramid is 24 in large pyramid. We ask ourself: "8 times WHAT gives us 24?"
This is the proportionality constant (aka "k").
So, 8 times "3" is 24. So the proportionality constant is "3".
k = 3
Now, the height of small pyramid is 6 and height of large pyramid is "x". These sides will be same way proportional. So, we can say:
6 times the proportionality constant (3) would give us x
So,
6 * 3 = x
x = 18
Correct answer is C
Answer:
73.5
Step-by-step explanation:
y=kx
where k is a constant
y=7
x=2
7=2k
k=3.5
what about when x=21
y=3.5*21
y=73.5