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3 years ago

Please help meeeeee ://

Mathematics

1 answer:

a_sh-v [17]3 years ago

8 0

A). They are supplementary angles meaning they add up to 180
So
B) (12x+8)+(3x+7)=180
12x+8+3x+7=180
15x+15=180
-15 -15
15x=165
15/15x=165/15
x=11

Angle 1 is
12x+8
12(11)+8
132+8
140
Therefore measure of angle 1 is 140°

Angle 2
3x+7
3(11)+7
33+7
40
Measure of angle 2 is 40°

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ON THE SMARTBOARD, THE

RideAnS [48]

The length of rectangle is 105 cm and width is 98 cm.

Step-by-step explanation:

Given,

Perimeter of rectangle = 406 cm

Let,

w be the width of rectangle

Length of rectangle = w+7

We know that

Perimeter of rectangle = 2(Length + Width)

$406 = 2(w+7+w)\\406 = 2(2w+7)\\406 = 4w+14\\406-14 = 4w\\392=4w\\4w=392$

Dividing both sides by 4

$\frac{4w}{4}=\frac{392}{4}\\w=98$

Width of rectangle = 98 cm

Length of rectangle = 98+7 = 105 cm

The length of rectangle is 105 cm and width is 98 cm.

4 0

3 years ago

A random sample of 25 fields of spring wheat has a mean yield of 27.6 bushels per acre and standard deviation of 5.69 bushels pe

ale4655 [162]

Answer:

Step 1 z(c) = 2,323

CI = ( 25 ; 30,2 )

Step-by-step explanation:

Normal Distribution:

Sample size n = 25

Sample mean μ = 27,6

Sample standard deviation s = 5,69

CI = 98 % then α = 1 - 0,98 α = 0,02 α/2 = 0,01

From z-table we don´t find z (score) for 0,01 directly, we need to interpolate between z = 2,32 and z = 2,33

For 0,0099 z score is 2,33

for 0,0102 z score is 2,32

Δ 0,0003 0,01

Then by rule of three

for Δ 0,0003 ⇒ 0,01

for Δ (0,01- 0,0102) ⇒ x

0,0003 0,01

0,0002 x

x = 0,0067

then z (score for 0,01) = 2,33 - 0,0067 z(c) = 2,3233

round to three decimal places z(c) = 2,323

Step 2:

CI = μ ± z(c) * s/√n ⇒ 27,6 ± (2,323 * 5,69)/5

CI = 27,6 ± 2,6436

round to one decimal place

CI = 27,6 ± 2,6

CI = ( 25 ; 30,2 )

8 0

3 years ago

Jane will rent a car for the weekend she can choose one of the two plans the first plan has an initial fee of $42 in cost of add

Talja [164]

Answer:

260m

$73.2

Step-by-step explanation:

For what amount of driving do the plans cost the same?

What the cost when the two plans cost the same?

first plan = 42 + 0.12m

second plan = 55 + 0.07m

42 + 0.12m = 55 + 0.07m

collect like terms

55 - 42 = 0.12 - 0.07m

13 = 0.05m

m = 260

42 + 0.12(260) = 73.2

3 0

3 years ago

What is an<br> equation of the line that passes through the points (-6,5) and (6, 7)?

NemiM [27]

Answer:

$y = \frac{1}{6} x + 6$

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

Use the gradient formula below to find the value of m:

$gradient = \frac{y1 - y2}{x1 - x2}$

*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

$m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6}$

Substitute the value of m into the equation:

y= ⅙x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= 7,

$7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6$

Thus, the equation of the line is y= ⅙x +6.

8 0

3 years ago

I need to find the value of x!!!

DanielleElmas [232]

Answer:

x = 27

Step-by-step explanation:

3x + x + 72 = 180

3x + x + 72 [-72] = 180 [-72]

4x = 27

4x [/4] = 180 / 4

x = 27

8 0

3 years ago