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Nookie1986 [14]
3 years ago
9

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR?

Mathematics
2 answers:
zhenek [66]3 years ago
8 0
B) m∠C = m∠F
Because now m∠B = m∠E because of the 180 total rule, and if all 3 ∠s are = then they are similar
Anit [1.1K]3 years ago
8 0

Answer: B) m∠C = m∠F

Step-by-step explanation:

Given: In triangles ΔABC and Δ DEF

m∠A = m∠D

To prove both the triangles are similar, we need at-least one one information which is given in option B.

If m∠C = m∠F , then AA similarity criteria , ΔABC and Δ DEF  are similar.

If we choose A) then it will not follow SAS criteria of similarity because ∠A and ∠D are not included angles of AB, CB and DE, FE respectively.

SAS similarity criteria for similar triangles says that if two sides of a triangle are proportional to two sides of another triangle and their included angles are equal, then the triangles are said to be similar.

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Find the common ratio for this geometric sequence 8, 2, 1/2, 1/8, 1/32
kompoz [17]

Answer:

Multiply 1/4 ; dividing 4

Step-by-step explanation:

Note that in each number going from left to right, it decreases by dividing 4 each time (or multiplying 1/4)

8/4 = 2 ; 2/4 = 1/2 ; (1/2)/(4) = 1/8 ; etc.

(8)(1/4) = 2 ; (2)(1/4) = 1/2 ; etc.

~

7 0
3 years ago
Read 2 more answers
Chester has a coupon for 1/10 off the price of a shirt. If the shirt originally costs $28.70, what discount would chester reciev
wolverine [178]

Answer:

Chester would receive a discount of $2.87 on using the coupon.

Step-by-step explanation:

We are given the following in the question:

Original cost of shirt = $28.70

Discount =

\dfrac{1}{10}\text{ of the original price}

We have to find the discount Chester would receive from using this coupon.

Discount amount =

=\dfrac{1}{10}\times \text{Original Price}\\\\=\dfrac{1}{10}\times 28.70\\\\=2.87

Thus, Chester would receive a discount of $2.87 on using the coupon.

3 0
3 years ago
Jackson high schol chum bump lava rat socks
Nadya [2.5K]

Answer:

amebo soup

Step-by-step explanation:

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5 0
2 years ago
In a game a die numbered 9 through 14 is rolled. What is the probability that the value of a roll will be a multiple of two or t
Marysya12 [62]

Answer:

Step-by-step explanation:

This is a special die.  Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.

There are three possibilities for getting a multiple of two:  {10, 12, 14}, and

there is only one possibilities for getting a multiple of ten:  {10, 12, 14}

The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6.  But one of the outcomes is found in both result sets:  10.  Getting a multiple of 10 is already included in the event that the outcome is a multiple of two.  My answer here would be 3/6, or 1/2.

6 0
3 years ago
A pair of tangents to a circle which is inclined to each other at an angle of 60 degree are drawn at ends of two radii. The angl
Sever21 [200]

Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

\theta = 180^{\circ}-90^{\circ}-30^{\circ}

\theta = 60^{\circ}

And the angle between these two radii is twice the result.

\theta' = 2\cdot \theta

\theta' = 120^{\circ}

The angle between these radii must be 120º.

5 0
3 years ago
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