2 years ago

The measures of the angles of a triangle are (3x – 100)°, (x – 10)°, and (x – 10)°.

Mathematics

1 answer:

statuscvo [17]2 years ago

7 0

Answer:

x = 60

largest angle = 80°

Step-by-step explanation:

the sum of all three angles in a triangle = 180°

(3x - 100) + (x - 10) + (x - 10) = 180

simplify:

5x = 300

x = 60

angles are 80°, 50°, and 50°

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5+x+(−2)=−85+x+(−2)=−8 x=?

sashaice [31]

$5+x+(-2)=-85+x+(-2)=-8\\
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2 years ago

what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years?

strojnjashka [21]

The principal amount is $\$3500$

SOLUTION:

Given that, simple interest $8\%$ ; $\$4340$ after 3 years

We have to find the principal.

Now, let the principal amount be p.

Then, $\text { Simple Interest }=\frac{p \times 8 \times 3}{100}=\frac{p \times 24}{100}$

Now, we know that, Balance = Principal amount + Simple Interest

$\begin{array}{l}{\rightarrow \$ 4340=p+\frac{24 p}{100}} \\\\ {\rightarrow 4340=p\left(1+\frac{24}{100}\right)} \\\\ {\rightarrow 4340=p \times \frac{100+124}{100}} \\\\ {\rightarrow p=4340 \times \frac{100}{124}} \\\\ {\rightarrow p=35 \times 100} \\\\ {\rightarrow p=3500}\end{array}$