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ra1l [238]
3 years ago
13

Two angles are complementary. The measure of the larger angle is 10 more than 4 times the measure of the smaller angle. Find the

measures of both angles.
Can someone please help me?
Mathematics
2 answers:
slamgirl [31]3 years ago
3 0

Answer:

16 = small

74 = big

Step-by-step explanation:

4x+10 = big angle

x = small angle

4x+10+x = 90

5x+10 = 90

5x = 80

x = 16

4 x 16 + 10 = 74

Avocado out!!!!!!!!!

Bumek [7]3 years ago
3 0

Answer:

y=16^{\circ},x=74^{\circ}

Step-by-step explanation:

Let complementary angles are x and y.

Let x is larger angle between x and y.

We have to find the measure of both angles x and y.

According to question

x=4y+10

We know that complementary angles :Two angles whose sum is 90 degrees.

x+y=90^{\circ}

4y+10+y=90

5y=90-10=80

y=\frac{80}{5}=16^{\circ}

Substitute the value then we get

x=4(16)+10=74^{\circ}

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Natali [406]

Answer:

101.98 yards.

Step-by-step explanation:

Please refer to the diagram that I drew (sorry for the messiness; I do not own a stylus and so I was using my mouse to try to draw it).

Since the triangle is a right triangle, you can use SOH CAH TOA. In this case, you are trying to figure out the opposite length, but you are given the adjacent. So, we will use tangent to solve this (TOA = Tangent, Opposite over Adjacent).

The angle is 22.6 degrees, and the tangent of the angle is equivalent to the opposite length, x, divided by the adjacent length, 245 yards.

tan(22.6) = x / 245

x / 245 = tan(22.6)

x = tan(22.6) * 245

x = 0.4162598242 * 245

x = 101.9836569

So, you are about 101.98 yards from the cabin.

Hope this helps!

6 0
3 years ago
2) A farmer has a cylindrical silo he uses to store corn. The silo has a height of 50 feet and a
musickatia [10]

Answer:

Step-by-step explanation:

Volume of Cylinder = πr²h

                                = 3.14 * 12 * 12 * 50

                                = 22608 cubic ft

4 0
3 years ago
Which point is not on the graph represented by y=x^2+2x-4
Illusion [34]
(-6,20) \\
x=-6 \\ y=20 \\ \Downarrow \\
20 \stackrel{?}{=} (-6)^2+2 \times (-6)-4 \\
20 \stackrel{?}{=} 36-12-4 \\
20 \stackrel{?}{=} 20 \\
20 = 20 \\
\hbox{the point is on the graph}

(-4,4) \\
x=-4 \\ y=4 \\ \Downarrow \\
4 \stackrel{?}{=} (-4)^2+2 \times (-4)-4 \\
4 \stackrel{?}{=} 16-8-4 \\
4 \stackrel{?}{=} 4 \\
4 = 4 \\
\hbox{the point is on the graph}

Both points are on the graph.
3 0
3 years ago
719 = (78 × 9) + ____ find the unknown number
viva [34]

Answer: 17

Step-by-step explanation:

78 x 9

=702

702 -719

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4 0
3 years ago
Read 2 more answers
Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany. He received 24 euros (EUR). Whi
Gelneren [198K]

<em> 1 euro equals 1.25 dollars</em>

<h2>Explanation:</h2><h2></h2>

In this problem we know that:

  • Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany.
  • He received 24 euros (EUR).

So we can solve this by using unitary method:

1EUR=\frac{30EUR}{24USD} \\ \\ \boxed{1EUR=1.25USD}

So<em> 1 euro equals 1.25 dollars</em>

<em />

<h2>Learn more:</h2>

Converting units: brainly.com/question/8426032

#LearnWithBrainly

5 0
3 years ago
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