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3 years ago

Find the value of x shown below

Mathematics

1 answer:

irakobra [83]3 years ago

7 0

Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61. Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.

x + 61 + 61 = 180

x + 122 = 180

x = 58

Hope this helped!

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Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own

igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

$x+y=28,000...(1)$

The interest earned at 7% in one year would be $0.07x$ and interest earned at 14% in one year would be $0.14x$ .

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

$0.07x+0.14y=3,430...(2)$

Form equation (1), we will get:

$x=28,000-y$

Upon substituting this value in equation (2), we will get:

$0.07(28,000-y)+0.14y=3,430$

$1960-0.07y+0.14y=3,430$

$1960+0.07y=3,430$

$1960-1960+0.07y=3,430-1960$

$0.07y=1470$

$\frac{0.07y}{0.07}=\frac{1470}{0.07}$

$y=21,000$

Therefore, an amount of $21,000 was invested at a rate of 14%.

$x=28,000-y$

$x=28,000-21,000$

$x=7,000$

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0

4 years ago

Simplify by dividing negative three over eight divided by five over nine.

goblinko [34]

Answer:

$\frac{-27}{40}$

Step-by-step explanation:

First we need to write in correct form :

$\frac{-3}{8}:\frac{5}{9}$

We know how to divide fractions. If we can divide numerator by numerator, denominator by denominator, we just do it. In this example we can not do that.

So, we rewrite first fraction and multiply by reciprocal second ( numerator and denominator change place)

$\frac{-3}{8} *\frac{9}{5}$