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yan [13]
3 years ago
13

Brainliest answer to the quickest and most accurate response

Mathematics
1 answer:
erik [133]3 years ago
7 0

(7x+14)+(4x-22)=180

11x-18=180

11x=198

x=18

(4)(18)-22

50

the small angles are 50

(3y+11)+10y=180

13y+11=180

13y=169

y=13

(10)(13)

130

the large angles are 130

proof:

(130(2))=(50(2))= 360

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Which of the following is the equation of a line perpendicular to the line, , passing through the point (3,9)?
julsineya [31]
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.

9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b 

so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
5 0
3 years ago
What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?
Kryger [21]
Given the coordinates of the three vertices of a triangle ABC, 
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
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3 0
3 years ago
Read 2 more answers
Which expressions are equivalent? <br> Plz hurry will mark brainlest whoever gets it right
Tcecarenko [31]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
AfilCa [17]

The volume of a cuboid toy chest is equal to their product of the length,

width, and height.

  • The correct option for the toy chest she should purchase is; <u>Only toy chest A will provide the necessary storage space</u>.

Reasons:

The dimensions of the toy chest are;

Toy chest A;

Length = 5 feet

Width = 4 feet

Height = 2 feet

Toy chest B;

Length = 4 feet

Width = 2 feet

Height = 4 feet

Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³

Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³

The volume of the toy chest Mrs. Smith needs = 35 ft.³

The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³

The correct option is; <u>Only toy chest A will provide the necessary storage space</u>

<em>Possible question options obtained from a similar question found online are;</em>

<em>Either toy chest have the storage space needed</em>

<em>Neither has the storage space needed</em>

<em>Only toy chest A</em>

<em>Only toy chest B</em>

<em />

<em />

Learn more about calculating volumes of various shapes here:

brainly.com/question/3789826

8 0
2 years ago
Mr.Hall stands 200 meters from the base of the water tower. He finds the angle of elevation to the top of the water to be 27 deg
love history [14]

Height of the tower = 101.9 m

Solution:

Given data:

Angle θ = 27°

Adjacent side = 200 m

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Let height be taken as h.

The given image shows it is a right triangle.

Using basic trigonometric ratio formulas,

$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}

$\tan27^\circ =\frac{{ h}}{200}

The value of tan 27° = 0.5095

$0.5095 =\frac{{ h}}{200}

Do cross multiplication, we get

0.5095 × 200 = h

101.9 = h

Height of the tower = 101.9 m

8 0
3 years ago
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