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3 years ago

The three angles of a triangle create the extended ratio 2:2:5. What is the measure of the largest angle?

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

Answer:

100°

Step-by-step explanation:

The ratio of angles of the triangle is 2:2:5. We know that the angle sum property of the triangle is 180°. So that , let the ratio be 2x : 2x : 5x .

=> 2x + 2x + 5x = 180°

=> 9x = 180°

=> x = 180°/9

=> x = 20°

Here the largest ratio is 5x . Therefore the largest Angle is ,

=> Largest Angle = 5x

=> Largest Angle = 5 × 20°

=> Largest Angle = 100°

<h3>• Hence the largest Angle is 100° </h3>

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A total of $27,000 is invested, part of it at 12% and the rest at 13%. The total interest after one year is $3385. How much was

Sveta_85 [38]

The amount invested in each rate are $14500 and $12500 respectively;

Let the amount invested in each be P1 and P2

Let the individual interest be I1 and I2 respectively;

I1 = P1R1T/100

I2 = P2R2T/100

If a total of $27,000 is invested, then;

P1 + P2 = 27000 ........... 1

If the total interest after one year is $3385, then;

I1 + I2 = 3385

$\frac{P_1(12)(1)}{100} + \frac{P_2(13)(1)}{100} = 3385\\0.12P_1+0.13P2=3385\\12P_1 + 13P_2=338500 ........................... 2$

Solving equations 1 and 2 simultaneously;

P1 + P2 = 27000 ........... 1 * 12

12P1 + 13P2 = 338500 ........... 2 * 1

________________________________

12P1 + 12P12 = 324000

12P1 + 13P2 = 338500 ...

Subtract both equations

12P2 - 13 P2 = 324000 - 338500

-P2 = -14500

P2 = 14500

Recall that P1 + P2 = 27000

P1 = 27000 - P2

P1 = 27000 - 14500

P1 = 12500

Hence the amount invested in each rate are $14500 and $12500 respectively;

Learn more here: brainly.com/question/19088526

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3 years ago

If a teacher required students to read out the Bible each day before beginning class, this would violate the what?

rjkz [21]

Answer:

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Step-by-step explanation:

By the way this isn't math, but anyway.

The Establishment Clause is a branch of the first amendment. It prohibits the government from making any law “respecting an establishment of religion.”

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3 years ago

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Georgia [21]

Answer:

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Step-by-step explanation:

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3 years ago

Drag a reason to each box to complete this proof. If 1/2(8x+14)=39 , then x = 8.

sergij07 [2.7K]

Answer:

Step-by-step explanation:

We have given,

$\frac{1}{2}*(8x+14)=39$

Take out 2 from the left side and we multiply both side by 2 we get:

$(4x + 7) = 39$

Next,

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3 years ago