All categories

3 years ago

I need help in these questions

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

All of these questions use the external angle theorem, that is

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠3 = 43° + 22° = 65°

∠2 + 71 = 92 ( subtract 71 from both sides )

∠2 = 21°

90 + ∠4 = 123 ( subtract 90 from both sides )

∠4 = 33°

2x - 15 + x - 5 = 148

3x - 20 = 148 ( add 20 to both sides )

3x = 168 ( divide both sides by 3 )

x = 56

Hence ∠ABC = x - 5 = 56 - 5 = 51°

2x + 27 + 2x - 11 = 100

4x + 16 = 100 ( subtract 16 from both sides )

4x = 84 ( divide both sides by 4 )

x = 21

Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°

You might be interested in

abcd is an isosceles trapezoid with legs ab and cd and base bc if the length of ab =-3y+54 the leingth of bc =5y+2 and the leing

Vilka [71]

ANSWER

$y = 5$

EXPLANATION

The given isosceles tra-pezoid has legs

$ab = - 3y + 54$

and

$cd = 6y + 9$

The base is bc=5y+2.

The length of the legs of the isosceles tra-pezoid are equal.

This implies that,

$ab = cd$

Thus,

$- 3y + 54 = 6y + 9$

Group similar terms,

$54 - 9 = 6y + 3y$

$45 = 9y$

Divide both sides by 9.

$y = \frac{45}{9}$

$y = 5$

8 0

3 years ago

1 Which expression is equivalent to (7x – 5) – (3x - 2)?

Mila [183]

Answer:

The answer is D.

Step-by-step explanation:

8 0

3 years ago

The area of a square is 144 square meters. what is the length in meters of one side of the square?

slega [8]

Well i know that 12x12=144 so it is 12!

3 0

2 years ago

Read 2 more answers

A driver drove for 3 hours at a certain speed. If he drove 12 more miles at the same speed, the distance would be 132 miles. At

Zinaida [17]

Distance traveled in 3 hrs was (speed in mph)(3 hrs)

Then s(3 hrs) + 12 mi = 132 mi.

Therefore, 3s = 120, and s = 120 miles / 3 hrs = 40 mph (answer)

7 0

3 years ago

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered

Marta_Voda [28]

Answer: A. 1 pound of cabbage will cost 40 cents. B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.

Step-by-step explanation:

If it is proportional that means the y value divided by the x value will give you a constant slope.

So using that use the coordinates (5,2) to find the cost of 1 pound of cabbage.

2/5 = 0.4

so you could write the equation y= 0.4x where x is the number of pound.

Part A: y= 0.4(1)

y= $0.40 which means one pound of cabbage will cost 40 cents.

Part B. (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.

Plot it into the equation and find out

in the coordinates (10,4) 4 is the y and 10 is the x

4= 0.4(10)

4= 4

Which means it true that 10 pounds of cabbage will cost 4 dollars.

5 0

3 years ago