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2 years ago

Last one for now: Given m<AFB=25, m<BAF=105, and m<AGD=86, find mAC

Mathematics

1 answer:

Vitek1552 [10]2 years ago

8 0

See attached picture for the answer:

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All angles in the diagram are measured to the nearest degree.

DochEvi [55]

Answer:

lower bound is 110.503 and upper bound is 112.500

Step-by-step explanation:

Given 3 angles around a point we are to find the fourth angle.

The three angles are 59. 108 and 81.

They are rounded off to the nearest degrees.

As per this given, fourth angle = 360-(59+108+81) = 112 degrees

Since angles were rounded off, the extreme chances are

58.5, 107.5, and 80.5 rounded off to 59, 108, and 81 from left side.

Right side maximum is 59.499, 108.499, 81.499 (taken upto 3 decimals) rounded to 59, 108, 81

In the first case, fourth angle would be 112.50 and in the second case, the fourth angle would be 110.503 degrees

Thus lower bound is 110.503 and upper bound is 112.500

6 0

2 years ago

When a number is decreased by 8.5%, the result is 33. What is the original number to the nearest tenth?

Reil [10]

Answer:

Step-by-step explanation:

Let the original number be x

(100-8.5)% of x = 33

91.5% of x = 33

$\frac{91.5}{100}x=33\\\\x=33*\frac{100}{91.5}\\\\x=36.07$

x= 36.1

7 0

2 years ago

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a

sergejj [24]

Answer:

$120\pi$ square units

Step-by-step explanation:

We are given that

Radius of circle=12 units

Angle MLK=60 degree

We have to find the area of sector that is not shaded.

Area of shaded sector MLK= $\frac{\theta}{360}\times \pi r^2$

Area of shaded sector MLK= $\frac{60}{360}\times \pi(12)^2=$ 24 square units

Area of whole circle= $\pi r^2=\pi (12)^2=144\pi$ square units

Area of sector that is not shaded =Area of whole circle-Area of shaded sector MLK= $144\pi-24\pi$

Area of sector that is not shaded= $120\pi$ square units

4 0

2 years ago

Read 2 more answers

ABCD is a rectangular garden plot . P is a water tap find the distance from P to C

choli [55]

Answer:

PC = 40/7 = 5.714 m

Step-by-step explanation:

i) the solution can be found by using similarity of triangles.

ii) therefore we can see that $\frac{PC}{8} = \frac{5}{7}$

iii) therefore PC = 40 / 7 = 5.714 m

8 0

2 years ago

Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet

seropon [69]

Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0

answer is third one

6 0

2 years ago

Read 2 more answers