3 years ago

I NEED HELP

Mathematics

1 answer:

andriy [413]3 years ago

6 0

Answer:

all work is shown and pictured

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3 years ago

CAN SOMEONE PLS HELP!!!

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3 years ago

Given: ABCD trapezoid, BK ⊥ AD , AB=DC AB=8, AK=4 Find: m∠A, m∠B

Elis [28]

Answer:

$m\angle B=m\angle C=120^{\circ}$

$m\angle A=m\angle D=60^{\circ}$

Step-by-step explanation:

Trapezoid ABCD is isosceles trapezoid, because AB = CD (given). In isosceles trapezoid, angles adjacent to the bases are congruent, then

$\angle A\cong \angle D;$
$\angle B\cong \angle C.$

Since BK ⊥ AD, the triangle ABK is right triangle. In this triangle, AB = 8, AK = 4. Note that the hypotenuse AB is twice the leg AK:

$AB=2AK.$

If in the right triangle the hypotenuse is twice the leg, then the angle opposite to this leg is 30°, so,

$m\angle ABK=30^{\circ}$

Since BK ⊥ AD, then BK ⊥ BC and

$m\angle KBC=90^{\circ}$

Thus,

$m\angle B=30^{\circ}+90^{\circ}=120^{\circ}\\ \\m\angle B=m\angle C=120^{\circ}$

Now,

$m\angle A=m\angle D=180^{\circ}-120^{\circ}=60^{\circ}$

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3 years ago

Ben bought a new car and took out a loan for 20,000 with a monthly interest of 0.5%. If Ben pays $150 per month, what is the bal

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3 years ago

sales at a local ice cream shop went up 30% in 5 years. if 18,000 ice cream cones were sold in that current year, find the numbe

Setler79 [48]

Answer:

$13,846\ cones$

Step-by-step explanation:

Let

x -----> the number of ice cream cones sold 5 years ago

Remember that

$100\%+30\%=130\%=130/100=1.3$

we know that

Sales 5 years ago, multiplied by the 30% increase should equal 18,000 ice cream cones.

The linear equation that represent this problem is

$1.30x=18,000$

Solve for x

Divide by 1.3 both sides

$x=13,846\ cones$

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3 years ago