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3 years ago

What is the value of x? x = 55° x = 60° x = 70° x = 110°

Mathematics

2 answers:

pshichka [43]3 years ago

8 0

The two marks on the angles A and C suggest that those angle are the same, and thus the triangle is isosceles.

So, if the measure of angle C is x, the measure of angle A will be x as well.

To solve the exercise, we must use the fact that the sum of the interior angles of any triange is always 180°.

In our case, the measures of the angles are 70, x and x, so the equation is

$70+x+x = 180 \iff 70+2x = 180 \iff 2x = 110 \iff x = 55$

VLD [36.1K]3 years ago

4 0

The answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees

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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,

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

$9144=P+0.27P$

$9144=1.27P$

Divide both sides by 1.27, we get

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$7200=P$

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8 0

3 years ago

Write each decimal as a fraction or mixed number in simplest form.<br> 1 3/8

Mnenie [13.5K]

3/2

<em>Step One:</em> 1 3/8, transform the number into a improper fraction:

To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8
NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).
After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12
Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8
We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8.
4 can be divide by both number so: 12/4= 3 and 8/4=2
Now 3 is are simplify numerator and 2 is are simplify denominator.