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3 years ago

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Mathematics

2 answers:

lisov135 [29]3 years ago

7 0

You essentially have four triangles. The area of a triangle is: A=bh/2 (b=base length and h=height)

So the area is simply the sum of the four triangle areas...

A=(3*2)/2+(3*2)/2+(7*2)/2+(7*2)/2

A=20 ft^2

ELEN [110]3 years ago

3 0

Area of top left triangle inside the kite = 2x3 = 6 divide by 2 = 3 square feet
area for top right triangle is 7x2 = 14 divide by 2 = 7 square feet
add together to get total area of top half = 10 square feet
double it to get bottom half as well, so total area is 20 square feet

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Work out the value of x.<br>Need answer soon :)

german

Answer:

x+20

Step-by-step explanation:

As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.

So we plug everything in and we have 4x+5x=180 degrees

4x+5x=9x, so 9x=180

We divide by 9 on both sides to get the value of x, which is 20

Hope it helps!

6 0

3 years ago

A business has two loans totaling $85,000. One loan has a rate of 4.5% and the other has a rate of 6%. This year, the business e

butalik [34]

Answer:

$30,000 and $55,000

Step-by-step explanation:

If 4.5% loan is x, and the 6% loan is y, then:

x + y = 85000

0.045x + 0.06y = 4650

Solve the system of equations with substitution or elimination. Using substitution:

0.045x + 0.06(85000 − x) = 4650

0.045x + 5100 − 0.06x = 4650

450 = 0.015x

x = 30000

y = 55000

5 0

2 years ago

Read 2 more answers

Can somebody help me, please?

Sveta_85 [38]

Answer:

a. $x=10 \textdegree$

$m\angle L=39\textdegree\\\\m\angle M=51\textdegree\\\\m\angle K=90\textdegree$

Step-by-step explanation:

a. We know that angles in a triangle add up to 180°.

-The right angle triangle in the right triangle has a measure of 90°.

We can therefore equate our angles to 180° and solve for x;

$180=\perp\angle+(2x+19)+(3x+21)\\\\180=90+(2x+19)+(3x+21)\\\\90=5x+40\\\\5x=50\\\\x=10\textdegree$

Hence, the angle measure is x=10°

b. Having calculated the value of x from a above as x=10°, we can substitute to find the measures of the two acute angles:

$m\angle L=(2x+19)\textdegree\\\\=(2\times 10+19)\textdegree\\\\=39\textdegree\\\\m\angle M=(3x+21)\textdegree\\\\=(3\times 10+21)\textdegree\\\\=51\textdegree$