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2 years ago

The measures of angles of a triangle are shown in the figure below solve for

Mathematics

1 answer:

irina1246 [14]2 years ago

4 0

Answer:

x=51

Step-by-step explanation:

There are two ways you can go about this

You can either say that the sum of interior angles in a triangle is equal to 180 so you do 180-39-90=51

Or you could use the exterior angle theorem, which means that 90=39+x, simplify that and you get that x=51

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Blue cassests hold 45 min. Of music

zhannawk [14.2K]

Let the number of Blue casset be b and that of green be g.
Thus the total number of cassets will be:
b+g=16
hence
g=16-b.......i

The total amount was:
45b+55g=830..ii
plugging i in ii we get:
45b+55(16-b)=830
45b+880-55b=830
simplifying
45b-55b=830-880
-10b=-50
thus
b=5
hence
g=16-5=11
number of blue cassets was 5 and that of green was 11

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2 years ago

Laura's yard is in the shape of a square and a half-circle.

DanielleElmas [232]

Pi r2

17 divide 2=8.5

Then

8.5•8.5=72.25

Then

3.14•72.25=226.865

Then

226.865 divide by 2 =113.4325m2

8 0

2 years ago

Read 2 more answers

I am stuck on this question of my maths test.

V125BC [204]

Answer:

angle y

58 + 38 + y = 180 (angle sum property)

96 + y = 180

y = 180 - 96

y = 84

angle x

x = 29 (58/2)

(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)

the values of x = 29 and y = 84

6 0

2 years ago

What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

7 0

2 years ago

A line passes through the points(-9,9) and has a slope of 2/3

Anni [7]

ANSWER

y = 2/3x + 15

Explanation:

Equation used: y - y1 = m( x - x1 )

y - 9 = 2/3 ( x - -9 )

y - 9 = 2/3x + 6 ( distribution )

y - 9 = 2/3x + 6 ( add 9 to 6 )

y = 2/3x + 15

4 0

2 years ago