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zhannawk [14.2K]
3 years ago
15

Write a number between 80 and 100 that has exactly 4 factors, one of which is 5

Mathematics
1 answer:
posledela3 years ago
7 0
Given:
A number between 80 and 100 
That has exactly 4 factors one of which is 5.

I'll choose 90. It is between 80 and 10.

90 ÷ 5 = 18
18 ÷ 6 = 3
3 ÷ 1 = 3

Factors of 90 are: 1, 3, 5, and 6.

  1 x 3 =   3 
  3 x 5 = 15
15 x 6 = 90

1 x 3 x 5 x 6 = 90
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Please help!<br><br>In circle Y, what is m?<br><br><br>82°<br><br>100°<br><br>106°<br><br>118°
ss7ja [257]

Answer:

<em>The correct option is:  82°</em>

Step-by-step explanation:

In the given diagram, two chords RT and SU are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°

So, the measure of arc TU is 82°

5 0
3 years ago
GEOMETRY!!!! K' (6,5) is the image of K after a reflection in the line y=2. what are the coordinates of K
frutty [35]

Given:

The coordinates of point K' are (6,5).

K' is the image of K after a reflection in the line y=2.

To find:

The coordinates of point K.

Solution:

Let the coordinates of point K are (a,b).

If a figure is reflected over the line y=2, then

(x,y)\to (x,2(2)-y)

(x,y)\to (x,4-y)

Using this formula, the coordinates of image of K are

K(a,b)\to K'(a,4-b)

The coordinates of point K' are (6,5).

K'(a,4-b)=K'(6,5)

On comparing both sides, we get

a=6\text{ and }4-b=5

a=6\text{ and }-b=5-4

a=6\text{ and }-b=1

a=6\text{ and }b=-1

Therefore, the coordinates of point K are (6,-1).

3 0
3 years ago
Which shows the graph of the solution set of y &lt; 1/3 x – 2?
AnnZ [28]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y< \frac{1}{3}x-2

The solution of the inequality is the shaded area below the dashed line

The equation of the line is y= \frac{1}{3}x-2

The slope of the line is positive m= \frac{1}{3}

The y-intercept of the line is the point (0,-2)

The x-intercept of the line is the point (6,0)

so

The graph in the attached figure

6 0
3 years ago
Read 2 more answers
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