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lubasha [3.4K]
3 years ago
9

Help on this assignment please :(

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

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3 years ago
Apply the communitive property to 13x7x21 to rearrange the terms and still get the same solution
Snezhnost [94]
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Solve the system of linear equations y= 2x -3Y= x + 6
Alja [10]

Answer:

x=9, y=15. (9, 15).

Step-by-step explanation:

y=2x-3

y=x+6

----------

2x-3=x+6

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x=6+3

x=9

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7 0
2 years ago
Find the sum that amounts to Rs 9,144 in 3 years at 9% per year simple interest.​
Hunter-Best [27]

Given:

Amount = Rs. 9,144

Time = 3 years.

Rate of simple interest = 9%

To find:

The principal value.

Solution:

The formula for simple interest is:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the simple rate of interest, and t is the number of years.

Putting r=9,t=3 in the above formula, we get

I=\dfrac{P\times 9\times 3}{100}

I=\dfrac{27P}{100}

I=0.27P

We know that,

\text{Amount}=\text{Principal + Interest}

9144=P+0.27P

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Divide both sides by 1.27, we get

\dfrac{9144}{1.27}=P

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8 0
3 years ago
What is the value of x if x squared = 37/81
HACTEHA [7]

Answer:

x = ±√37/9

Step-by-step explanation:

x² = 37/81

√(x²) = √(37/81)

x = ± √(37)/√(81)

x = ± √37/9

4 0
3 years ago
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