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3 years ago

One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

$x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15$

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

#LearnwithBrainly

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Dakota wants to build 8 birdhouses, he needs to point 6 square feet of plywood, for each birdhouse is the plywood cause $0.56 pe

Westkost [7]

Answer:

$26.88

Step-by-step explanation:

Cost of a ply wood = $0.56 per square foot

If Dakota wants to build 8 birdhouses and he needs to paint 6 square feet of plywood for each birdhouse, then the total area fir the 8 bird house will be expressed as:

8 * 6

= 48 sq. feet

Hence the area of 8 bird houses is 46sq. feet

Next is to calculate the amount it will cost to make the 8 bird houses.

Since 1 sq. foot = $0.56

48 sq. feet = y

cross multiply

y * 1 = 48 * 0.56

y = 26.88

Hence it will cost Dakota $26.88 to make hid bird houses

3 0

3 years ago

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 met

Sav [38]

Answer:

0.395 kilometre

Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

<u>Question asked:</u>

How many kilometres from the hole was Martin when he started?

<u>Solution:</u>

Let distance from Martin starting point to the hole in meters = $x$

On Martin's first stroke, ball traveled = $\frac{4}{5} \ of \ total \ distance\ to\ the\ hole$

$=\frac{4}{5} \times x=\frac{4x}{5}$

On his second stroke, the ball traveled and went to the hole = 79 meters

Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

$x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters$