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Tems11 [23]
3 years ago
12

If a translation maps ∠D onto ∠B, which of the following statements is true? triangle CAB, point E is on segment AC between poin

ts A and C and point D is on segment BC between points B and C, creating segment ED ΔCED ~ ΔCAB ΔCED ~ ΔCBA segment CD ≅ 2 segment CA segment CD ≅ 2 segment CB
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer:

The correct option is;

ΔCED ~ ΔCAB

Step-by-step explanation:

Given that the translation maps angle ∠D to angle ∠B, we have;

Angle ∠D is congruent to ∠B (Given)

Segment ED is parallel to segment AB (lines having similar angles to a common transversal)

Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)

∠C is congruent to ∠C reflexive property

Therefore, we have;

∠C ≅ ∠C

∠E ≅ ∠A  

∠D ≅ ∠B

Which gives ΔCED is similar to ΔCAB (not ΔCBA)

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Find the length of the missing side. Leave your answer in simplest radical form.
Hatshy [7]

Answer:

The SQ Root of 493

Step-by-step explanation:

Becaues this triangle is a right triangle, we can find the missing side usiing the pythagorean theorum.

The pythagorean theorun states A^2 + B^2 = C^2, so 18^2 + 13^2= 439

Then all you have to do is find the sq root of 439, but this question askes you not to.

Hope this helps :)

7 0
3 years ago
Use your creativity... Write a short story/problem/question that can be described by the scenario of 4 divided by 1/2
vazorg [7]

Answer:

I was at the store getting groceries I saw that there was a sell on bags of candy The original price was 4.00 dollars The sale is 1/2 off a bag of candy what is the new price.   The answer is 2.00 dollars.

8 0
3 years ago
Juan wrapped 2 presents every 16 hours. At that rate, how long, in
maks197457 [2]

Answer:

Since it took Juan 16 hours to wrap 2 presents, it will take Juan 32 hours.

1 present- 8 hours

2 present- 16 hours

3 present- 24 hours

4 present- 32 hours

5 0
2 years ago
Read 2 more answers
Calculating area of rectangle.
Artemon [7]

Answer:

Your measurements; Area = 216.108 cm²

Another student's measurements; Area = 216.9404 cm²

- Difference in area could be as a result of human error or perhaps that they made use of different measuring tools.

Step-by-step explanation:

For Your measurements;

Length of rectangle = 20.70 cm

Width of rectangle = 10.44 cm

Area of rectangle is given by; A = length × width = 20.7 × 10.44 = 216.108 cm²

For Another student's measurements;

Length of rectangle = 20.74 cm

Width of rectangle = 10.46 cm

Area = 20.74 × 10.46

Area = 216.9404 cm²

The areas they both obtained are not of equal values and this could be as a result of human error or perhaps that they used different measuring tools.

7 0
3 years ago
Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
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