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3 years ago

1. Find the value of y using the following diagram. (The angles are vertical angles) 74+5 47

Mathematics

1 answer:

KonstantinChe [14]3 years ago

3 0

Answer: brainliest please

Part 1) Option D

Part 2) Option C

Step-by-step explanation:

we know that

In a Rhombus

Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles

Part 1) What is the measure of angle ?

-----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle ?

Remember that

In a rhombus consecutive angles are supplementary

The measure of angle is equal to the measure of angle T divided by

Step-by-step explanation:

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One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

BigorU [14]

X = the number of humans and y = the number of horses.

x+y=74
2x+4y=196

Because the number of humans and horses together is 74, and the total number of legs (2 per every human, x, and 4 per every horse, y) is 196. Then, just use elimination to solve.

$-2(x+y=74)\\2x+4y=196\\\\-2x-2y=-148\\2x+4y=196\\\\2y=48\\y=24$

So, now that you have y, you can plug it into the first equation to find x:

$x+y=74\\x+24=74\\x=50$

So, x = 50 and y = 24, so there are 50 humans and 24 horses.
The correct answer is B.

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3 years ago

April took out a $600 loan from the bank.At the end of 5 years, she pays back the principle,plus $60 simple interest.What was th

Vedmedyk [2.9K]

Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is given the principal and the time and the interest rate is . For this problem we have to find the interest rate given . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

I= Prt

=> r= I/Pt

=> r= 60/600x5 = 1/50

The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.

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3 years ago

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aksik [14]

Answer:

Step-by-step explanation:

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2 years ago

Square, one side length 2& 11 mile:

hodyreva [135]

That would be the one and only 22

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3 years ago

An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?

Tresset [83]

Answer:

42 degrees, and 48 degrees

Step-by-step explanation:

set up an equation to find x, the first angle measure

(x+6)+x=90

then simplify:

2x+6=90

2x=84

x=42

So, the first angle measure is 42, now to find the second angle measure, add 6 to 42, and you will get 48.

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3 years ago

Read 2 more answers