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andrey2020 [161]
4 years ago
11

In the diagram, m <ACB =66 find M <BCD

Mathematics
1 answer:
Effectus [21]4 years ago
8 0
Alrighty. If there's 3 angles that are on one linear line, they all must add up to 180, because they would wall be supplementary angles (they all add up to 180).

So, we know that the Angle FCA is 90 degrees, and we know that ACB is 66 since they said so. So, we will add them up, then subtract it from 180. So,

BCD + 66 + 90 = 180
BCD + 156 = 180
BCD = 24

(P.S, that means the angle FCE will be the same because of vertical angle theorem)
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Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the
Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle ABCD as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}

4 0
3 years ago
The following graph shows a proportional relationship.
LenKa [72]

Answer:

2

Step-by-step explanation:

If we look at the graph this is an increasing graph where y increases with respect to x so in other words we can say that y is directly proportional to x.

y\ \alpha\ x\\

and when we remove the proportionality sign we replace it with an equal to sign and a constant. So it becomes ,

y = kx\\

now to find the Constant of proportionality which is k we can use any ordered pair(coordinate/point) from the graph,

Lets take ( 2 , 4) where 2 represents the value of x on the x-axis and 4 represents the value of y on the y-axis so now,

y=kx\\(4)=k(2)\\4=2k\\4/2=k\\k=2\\

so the constant of proportionality is 2

4 0
3 years ago
What is the distance between the two points shown?
bonufazy [111]
The distance is (-4, 4)

Explanation: I moved down 4 cubes (negative) and moved right 4 cubes (positive).

I hope I am right :)
7 0
3 years ago
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Keesha will mow grass for $8 per hour write in standard form
DaniilM [7]

Answer: y = 8x

Step-by-step explanation:

6 0
3 years ago
A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps
ExtremeBDS [4]

Step-by-step explanation:

the circumference of a circle is

C = 2×pi×r

with r being the radius.

the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is

4×22 = 88 cm.

now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

88 = 2×pi×r

44 = pi×r

r = 44/pi = 14.00563499... cm

so, rounded, radius = 14 cm.

5 0
3 years ago
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