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3 years ago

What is the measure of ∠2 if c∥d ?

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

Since both C & D are parallel, angle 2 is a corresponding angle to the angle of 108 degrees, so angle 2 is also 108 degrees

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Solve for the variables.

likoan [24]

Answer:

blue

Step-by-step explanation:

70 = 2m so m=35

360 - 70 - 70 = 220

220/2 = 110 = n

8 0

2 years ago

Sum of two number is 120. If the larger number is four times the smaller number, wbat are the two numbers

tankabanditka [31]

x+y=120_______1

x=4*y_________2

x=4y

substitute 4y for x in equation 1

`4y+y=120

5y=120

eliminate the coefficient of y

y=120/5

y=24

now,input 24 for y in equation 2

`x=4y

x=4*24

x=96

thus, the numbers are

96 and 24

3 0

3 years ago

PLEASE HELP ME:<br><br> Find the perimeter of the figure. Round to the nearest tenth.

Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

$d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }$

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

$ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} }$

$ab = \sqrt{5 {}^{2} + 4 {}^{2} }$

$ab = \sqrt{41}$ AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

$bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{10}$

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

$cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} }$

$cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }$

$cd = \sqrt{65}$

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

$ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }$

$ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} }$

$ad = \sqrt{10}$

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0

3 years ago

Evaluate 5p+cd when c=1/5 and d=15

Anna [14]

Answer: If solving for P it is p = -3/5

If you are just wanting the equation it is 5p+3

Step-by-step explanation: Plug in c and d into 5p+cd

You get 5p+(1/5)(15)

Once done with the math it is 5p+3

7 0

3 years ago

There are (4 over 3)2 ⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm? (1 point)

djverab [1.8K]

The total number of strawberries on the farm is approximately 107

<h3>Total strawberries</h3>

The total number of strawberries on the farm can be solved by evaluating the expression (4 over 3)2 ⋅ 40.

Evaluation is the completion of a mathematical operation.

Number of strawberries on the farm = (4 over 3)2 ⋅ 40

= (4/3)2 × 40

= 8/3 × 40

= (8 × 40) / 3

= 320/3

= 106.6666666666666

Approximately,

Number of strawberries on the farm = 107

A strawberry is a sweet, usually red, edible fruit of certain plants of the genus Fragaria.

A farm is a piece of land where plants are cultivated and animals are reared by the farmer.

Therefore, the total number of strawberries on the farm is approximately 107.

Learn more about total:

brainly.com/question/2021001

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6 0

2 years ago