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alexira [117]
3 years ago
8

Statements Reasons 1. BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parall

el lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. ??? Fill in the missing reason for the proof. A) SSS Congruence Theorem B) SSS Similarity Theorem C) AA Similarity Postulate D) SAS Congruence Postulate
Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

The correct option is;

C) AA Similarity Postulate

Step-by-step explanation:

The given parameters are;

BE║CD Given

∠A is congruent to ∠A Reflective property

∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal

∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal

ΔABE ~ ΔACD AA Similarity Postulate

When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.

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An engine is operating at 25% of its full power. Which number line shows a point that represents 25%?
Grace [21]

Answer:

It could be the first one or second one but the second one makes more sense .

Step-by-step explanation:

4 0
3 years ago
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0
3 years ago
Izracunaj opseg i povrsinu kruga upisanog u kvadrat stranice duljine 8 cm.
Nutka1998 [239]
(In English), your question would state the following:


<span>Calculate the circumference and circumference of the circle entered in a square 8 cm long.
</span>
So when finding the answer this this question, we know that the circumference would be the complete area of a circle.

So, I believe we would want to find what is the radius and the diameter that would make this circumference 8^c^m.

The radius would then be (1.274).
__________________________________________________________

Now in your own language (Croatian).

<span>Dakle, kad pronađemo odgovor na ovo pitanje, znamo da bi opseg bio cjelokupno područje kruga. Dakle, vjerujem da bismo željeli otkriti što je radijus i promjer koji bi ovaj opseg mogao učiniti 8cm. Radijus bi onda bio (1.274).</span>




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Luden [163]

Answer:

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Step-by-step explanation:

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