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3 years ago

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Given the following triangles, what additional information is required in order to know that the triangles are congruent because

of the ASA congruence criteria?
QD and ED are congruent
DCQDCE
QC and DE are congruent
CDEDCQ

2 answers:

Soloha48 [4]3 years ago

8 0

Answer:

The correct answer is : DCQ ( angle) = DCE (angle)

Vlad [161]3 years ago

4 0

Answer: DCQ=DCE

Step-by-step explanation:

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One angle of the following triangle measures 2x. How many degrees does that angle

ella [17]

<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.

<u>Explanation</u><u>:</u><u>-</u>

Let the angles be 2x, x+15 and 2x+10 respectively.

∵ Sum of the three angles of a triangle is 180°

∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]

→2x + x+15 + 2x+10 = 180°

→ 2x + x + 2x + 15 + 10 = 180°

→ 3x + 2x + 15 + 10 = 180°

→ 5x + 15 + 10 = 180°

→ 5x + 25 = 180°

→ 5x = 180°-25

→ 5x = 155°

→ x = 155°÷5 = 155/5 = 31.

Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.

∴ ∠A = 2x = 2(31) = 62°

∠B = x+15 = 31 + 15 = 46°

∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.

3 0

2 years ago

Useable energy is lost each time energy is converted to another form of energy, true or false?

shepuryov [24]

Answer:True, becuase every time energy is converted to another form, is some of it is bled off and it made unusable.

Step-by-step explanation:

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2 years ago

Situation D: Suppose that, in a one-minute period during an electrical storm, the number of lightning strikes on a radar antenna

Crank

Answer:

21.77% probability that the antenna will be struck exactly once during this time period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

$\mu = 2.40$

Find the probability that the antenna will be struck exactly once during this time period.

This is P(X = 1).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-2.40}*2.40^{1}}{(1)!} = 0.2177$

21.77% probability that the antenna will be struck exactly once during this time period.

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2 years ago

A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st

Pani-rosa [81]

The expression that we need to get is:

$N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}$

So the correct option is the second one.

<h3>Which expression gives the number of gallons of stain Bradley will need?</h3>

We know that 1 gallon is enough to cover 200 ft².

We have two rectangular areas, one of:

23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.

Then the total area is:

A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)

The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

$N = \frac{(23ft)*(10.4ft) + (10.5ft)*(7.2ft)}{200ft^2} \\\\N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}$

So the corerect option is the second one.

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

7 0

1 year ago

In the expression 3x + 7, what is the coefficient?

san4es73 [151]

Answer:

3

Step-by-step explanation:

4 0

2 years ago