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2 years ago

Write and solve an equation to find the value of x and a missing angle in the triangle below.

Mathematics

1 answer:

Arturiano [62]2 years ago

5 0

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

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Researchers estimate that 15 out of every 25 customers at a store make purchases with a credit card. If the store has 600 custom

monitta

Answer:

360

Step-by-step explanation:

Number of customers who make purchases with a credit card

=15 out of every 25= $\frac{15}{25}=\frac{3}{5}$

The fraction 3/5 represents the part of the customer that makes purchases with credit cards.

Therefore if there are 600 customers tomorrow, 3/5 of them will use a credit card.

$\frac{3}{5} X 600=360$

360 credit card can be expected.

5 0

3 years ago

Which statement is true? A.27/19<11/30 B.17/31>19/14 C.16/26>30/31 D.35/30<22/12

Mrac [35]

A. $\frac{27}{19}$

To find greater than or smaller than relation, we multiply the terms like (numerator of L.H.S with denominator of R.H.S and put the value on the left side. Then multiply the denominator of L.H.S with numerator of R.H.S and put the value on right side. Now compare the digits.)

So, solving A, we get 810<209 ... This is false

B. $\frac{17}{31}>\frac{19}{14}$

= 238>589 ..... This is false

C. $\frac{16}{26}>\frac{30}{31}$

= 496>780 .... This is false

D. $\frac{35}{30}$

= 420<660 ..... This is true

Hence, option D is true.

6 0

3 years ago

What is the value of 2 cubed

Phoenix [80]

2 cubed. Cubed also means multiply so enjoying by itself times. So, 2 * 2 = 4 * 2 = 8. 2 cubed = 8

8 0

2 years ago

Is 48 a perfect cube? Explain your reasoning.

Ksivusya [100]

Answer:

Reasoning:

If something is a perfect cube, it is able to be put under a cube root ( $\sqrt[3]{..}$ ) and will result in an integer (a non-decimal number > 0, basically).