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2 years ago

Find the measure of angle A.

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

3 0

Answer:

30 degrees

Step-by-step explanation:

Keep this in mind, ALL triangles must equal 180 degrees.

This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.

$90 + (x+37) + (x+67) = 180\\$

Now solve for x by isolating x

$2x + 194 = 180\\2x=-14\\x=-7$

Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.

-7 + 37 = 30

<A is 30 degrees.

Check your work

Plug in -7 where you see x.

$90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180$

Turns out this was a 30-60-90 triangle. ✅

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Help me please im beggingggg

icang [17]

Answer: 96 sq ft.

Step-by-step explanation:

First, we will find the area of the rectangular sides. Since the triangle is an equilateral triangle, all the rectangles will be the same size.

A = L * W

A = (10 ft) * (3 ft)

A = 30 ft²

30 ft² * 3 = 90 ft²

Next, we will find the area of the two triangles.

A = $\frac{b*h}{2}$

A = $\frac{3*2}{2}=\frac{6}{2} =3$

3 ft + 3 ft = 6 ft²

Lastly, we will add them together for the total surface area.

90 ft² + 6 ft² = 96 ft²

4 0

1 year ago

Marina had 24,500 to invest. She divided the money into three different accounts. At the end of the year, she had made RM1,300 i

galben [10]

Answer:

See below

Bold parts are important parts. They are the equations.

Marina had RM24,500 to invest.

If the amount of money in the 4% account was four times the amount of money in the 5.5% account.

" At the end of the year, she had made RM1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%."

"If the amount of money in the 4% account was four times the amount of money in the 5.5% account,"

a = 4b

Down is the equations.

let a = amt in the 4% acct

let b = amt in the 5.5% acct

let c = amt in the 6%

"Marina had RM 24,500 to invest."

a + b + c = 24500

Replace a with 4b in both equations, simplify

b = $2000 in the 5.5% investment

a = $8000 in the 4% acct

Hope this helps.

8 0

2 years ago

Can you factor the common factor out of this problem? 28b+14b^2+35b^3+7b^5

Ann [662]

This is the correct answer

7 0

3 years ago

What is the equation of the line that passes through the points (-1, 1.5) and (0.5, 0.5)

Step2247 [10]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$(-1,\ 1.5)\to x_1=-1,\ y_1=1.5\\(0.5,\ 0.5)\to x_2=0.5,\ y_2=0.5$

Substitute:

$m=\dfrac{0.5-1.5}{0.5-(-1)}=\dfrac{-1}{1.5}=-\dfrac{1}{\frac{3}{2}}=-\dfrac{2}{3}\\\\y-1.5=-\dfrac{2}{3}(x-(-1))\\\\y-1.5=-\dfrac{2}{3}x-\dfrac{2}{3}\\\\y-\dfrac{3}{2}=-\dfrac{2}{3}x-\dfrac{2}{3}\ \ \ |+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2}{3}+\dfrac{3}{2}\\\\y=-\dfrac{2}{3}x-\dfrac{2\cdot2}{3\cdot2}+\dfrac{3\cdot3}{2\cdot3}\\\\y=-\dfrac{2}{3}x-\dfrac{4}{6}+\dfrac{9}{6}\\\\y=-\dfrac{2}{3}x+\dfrac{5}{6}$