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Ierofanga [76]
2 years ago
7

The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle

of the triangle?
Mathematics
1 answer:
victus00 [196]2 years ago
4 0

Answer:

The angles in the triangle and 10, 80 and 90

Step-by-step explanation:

The two angles that are left in a right triangle add to 90 degrees

8:1 means that there total is 9

8x+1x = 9x

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

8*10 = 80

1*10 = 10

The angles are 80 and 10

The angles in the triangle and 10, 80 and 90

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2 years ago
Need help with this ignore what a put in the box it isn’t right
Zarrin [17]

f=6cm\\g=8cm

Why?

The first thing we need to do is find the area of the triangle, we can to that by subtracting the area of ABCD from ACBE, then, we can use the formulas to calculate the area for both triangle and rectangle to find "f" and "g".

Calculating we have:

TriangleArea=ABCE-ABCD\\\\TriangleArea=60cm^{2}-48cm^{2}=12cm^{2}

Now, we can calculate "f" by using the formula to calculate the area of the triangle:

TriangleArea=\frac{b*h}{2}\\\\TriangleArea=\frac{f*4cm}{2}\\\\12cm^{2}*2=f*4cm\\\\\frac{24cm^{2}}{4cm}=f\\\\f=6cm

Now, finding "g" by using the formula to calculate the area of the rectangle, we have:

RectangleArea=ABCD\\\\ABCD=Base*Height\\\\48cm^{2}=base*6cm\\\\base=g=\frac{48cm^{2}}{6cm}=8cm

Hence, we have that:

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Have a nice day!

8 0
3 years ago
Y=-3x+5<br> 5x-4y=-3<br> pls help
salantis [7]

Hello!

\large\boxed{x = 1, y = 2}

We can solve this system using substitution.

Since y = -3x + 5, we can substitute this into the following equation:

5x - 4(-3x + 5) = -3

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5x - 4(-3x) - 4(5) = -3

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17x - 20 = -3

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Substitute to find y:

y = -3(1) + 5

y = -3 + 5

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Solution: (1, 2)

7 0
2 years ago
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