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4 years ago

Can someone please help me find DC?

Mathematics

2 answers:

dimaraw [331]4 years ago

8 0

$\bf \stackrel{\measuredangle A}{(5x-14)}+\stackrel{\measuredangle D}{(4x+5)}=\stackrel{\textit{linear angles}}{180}\implies 9x-9=180 \\\\\\ 9x=171\implies x=\cfrac{171}{9}\implies x=19 \\\\[-0.35em] ~\dotfill\\\\ \overline{DC}\implies -2x+54\implies -2(19)+54\implies -38+54\implies 16$

elena55 [62]4 years ago

5 0

Answer:

DC = 12

Step-by-step explanation:

In a parallelogram consecutive angles are supplementary, that is

∠DAB and ∠ADC are consecutive and supplementary, thus

5x - 14 + 4x + 5 = 180

9x - 9 = 180 ( add 9 to both sides )

9x = 189 ( divide both sides by 9 )

x = 21

Hence

DC = - 2x + 54 = (- 2 × 21) + 54 = - 42 + 54 = 12

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Joe is riding his bicycle. He rides for 3 hours at a speed of 4.8 kilometers per hour. For how many kilometers does he ride?

eduard

Answer:

14.4km

Step-by-step explanation:

<h2>Speed = distance / time </h2>

speed = 4.8 km/h
time = 3 hrs
distance = ?

Distance = speed * time

Distance = 4.8 * 3 = 14.4km

5 0

2 years ago

Tennis player strikes a tennis ball from underneath with her racket. The ball is sent straight up with an initial velocity of 19

alekssr [168]

Answer:

18.42 m

Step-by-step explanation:

At that point, the ball will be static, with final velocity of 0.

The initial velocity is 19.

The acceleration due to gravity is -9.8 m/s^2.

We now have to use an equation of kinematics shown below:

$v_f^2=v_0^2+2as$

Where

$v_f$ is the final velocity

$v_0$ is the initial velocity

a is -9.8

s is the distance we are looking for

Lets substitute and find the answer:

$v_f^2=v_0^2+2as\\0=(19)^2+2(-9.8)s\\-361=-19.6s\\s=18.42$

7 0

4 years ago

A company that makes cartons finds that the probability of producing a carton with a puncture is 0.04, the probability that a ca

Over [174]

Answer:

a) C. No, a carton can have a puncture and a smashed corner.

b) The probability that a carton has a puncture or a smashed corner is P(X ∪ Y) = 0.104.

Step-by-step explanation:

To be mutually exclusive, the probability of the two events happening at the same time should be 0. But the probability that a carton has a puncture and has a smashed corner is 0.004 and not 0.

Then, we can conclude the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" are not mutually exclusive.

The answer is "C. No, a carton can have a puncture and a smashed corner."

We can calculate the probability that the carton has a puncture <em>or </em>has a smashed comer simply by adding the probability of each event:

$P(X\cup Y)=P(X)+P(Y)=0.1+0.04=0.104$

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5 0

4 years ago

Sara has some fish, 2 birds, and 5 hamsters. She has 6 fewer hamsters than fish.

Gnoma [55]

There are 5 hamsters. If she has 6 fewer hamsters than fish, that means x-6=5
which means 5+6=11 so there are 11 fish.
The answer is 11

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4 years ago

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What is the coefficient of -2x+8=10

RideAnS [48]

Step-by-step explanation:

Let's solve your equation step-by-step.

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Step 2: Divide both sides by -2.

−2x−2=2−2

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Answer:

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3 years ago

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