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3 years ago

Select the correct answer from the drop-down menu.

Mathematics

2 answers:

snow_tiger [21]3 years ago

8 0

Answer: $33.80

Step-by-step explanation: If Hector’s account was overdrawn by $22.80 and then he deposited $56.60 his balance would be $33.80

The formula to solve this is -22.80 + 56.60 = 33.80

seraphim [82]3 years ago

3 0

Answer:

$33.80

Step-by-step explanation:

i did it on my test got it right

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Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

enyata [817]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$

$30=\frac{AD+17}{2}$

$60=AD+17$

$43=AD$

Draw perpendiculars on AD from B and C. Let angle A be θ. D

$AD=AE+EF+FD$

Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC

$AD=AE+EF+AE$

$43=2(AE)+17$

$26=2(AE)$

$13=AE$

$\cos\theta=\frac{base}{hypotenuse}$

$\cos\theta=\frac{AE}{AB}$

$\cos\theta=\frac{13}{26}$

$\cos\theta=\frac{1}{2}$

$\theta=\cos^{-1}\frac{1}{2}$

$\theta=60$

Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.

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

The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.

$\angle A+\angle B=180^{\circ}$

$60^{\circ}+\angle B=180^{\circ}$

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

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

Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

3 0

3 years ago

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

polet [3.4K]

The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Given the expression:

(-1 + i) + (21 + 5i)

Using the commutative property of addition, we get:

(21 + 5i) + (-1 + i)

The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)

Find out more on equation at: brainly.com/question/2972832

#SPJ4

3 0

2 years ago

Read 2 more answers

What is 1,200/2,000 in a fraction

andreev551 [17]

1200/200 in a simplified form is
3/5

7 0

3 years ago

Please help me thank you

AfilCa [17]

Step-by-step explanation:

y = 9x - 7

When x = 8

y = 9.8 - 7

y = 72 - 7

y = 65

When x = 6

y = 9.6 - 7

y = 54 - 7

y = 47

When x = 7

y = 9.7 - 7

y = 63 - 7

y = 56

When x = -8

y = 9.(-8) - 7

y = -72 - 7

y = -79

When x = 4

y = 9.4 - 7

y = 36 - 7

y = 29

4 0

2 years ago

A digital camera for 249.99 at 4% sales tax

spin [16.1K]

First round up 249.99 to 250.00

Then change the 4% into a decimal= 1.04

Now multiply so the equation is= 250 x 1.04 =

$260 as your answer!

4 0

3 years ago