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4 years ago

PLEASE HELP! I NEED ANSWERS!

Mathematics

1 answer:

Strike441 [17]4 years ago

3 0

a) incenter

b) angle bisectors

c) the incenter is equidistant from the sides of the triangle

d) ???

a) orthocenter

b) altitudes

c) the distance from the vertex to to the orthocenter is two-thirds the length of the altitude

d) ???

a) circumcenter

b) perpendicular bisectors

c) the circumcenter is equidistant from the vertices of the triangle

d) ???

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Natali5045456 [20]

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The money left after gasoline expenses was $622.50.

Step-by-step explanation:

Given:

Last month, family had used 40% of the monthly income for gasoline, and 63% of that gasoline was consumed by the family's SUV.

The family's SUV used $261.45 worth of gasoline previous month.

Now, to find the money left of the family monthly income after gasoline expenses.

Let the total money spend on gasoline be $g.$

As, given:

The family's SUV used $261.45 worth of gasoline, which was 63% of the gasoline that was consumed.

According to question:

$63\%\ of\ g=$261.45.\\\\$

$\frac{63}{100} \times g=261.45\\\\0.63\times g=261.45$

Dividing both sides 0.63 we get:

$g=\$415.$

The total money spend on gasoline = $415.

Now, 40% of the monthly income is used for gasoline.

Let the total monthly income be $x.$

So, to get the monthly income we put an equation:

$40\%\ of\ x=\$415\\\\\frac{40}{100}\times x=415\\\\0.40\times x=415$

Dividing both sides by 0.40 we get:

$x=\$1037.50.$

The total monthly income = $1037.50.

Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:

$\$1037.50-\$415\\\\=\$622.50.$

Therefore, the money left after gasoline expenses was $622.50.

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3 years ago