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1 year ago

Point A is the point of concurrency of the angle bisectors of ΔDEF.

Mathematics

1 answer:

amm18121 year ago

4 0

The correct answer is option A which is ZA = 3 cm

<h3>What is the triangle?</h3>

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The triangle is shown below.

From the triangle, A is the concurrency point of angle bisectors of all vertices.

Consider ΔAYD,

Using the Pythagorean theorem,

AD² = AY² + YD²

5² = AY² + 4²

25 = AY² + 16

AY² = 25 - 16

AY² = 9

AY = √9 = 3 cm

Consider triangles ADY and ADZ.

∠AYD ≅∠AZD=90

∠ADY≅∠ADZ ( Angle bisector)

AD ≡ AD (common side)

The two triangles are congruent by the AAS postulate.

Therefore, by CPCTE, AY=ZA=3 cm

To know more about triangles follow

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ki77a [65]

Answer:

$CSA = 660cm^2$ --- Curved Surface Area

$TSA = 968cm^2$ --- Total Surface Area

Step-by-step explanation:

Given

Shape: Cylinder

$h = 15$ -- height

$r = 7$ --- radius

Solving (a): The curved surface area (CSA)

This is calculated as:

$CSA = 2\pi rh$

This gives:

$CSA = 2 * \frac{22}{7} * 7 * 15$

$CSA = 2 * 22* 15$

$CSA = 660cm^2$

Solving (b): The total surface area (TSA)

This is calculated as:

$TSA = 2\pi r(h + r)$

This gives:

$TSA = 2 * \frac{22}{7} * 7 * (15 + 7)$

$TSA = 2 * 22 * (15 + 7)$

$TSA = 2 * 22 * 22$

$TSA = 968cm^2$

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2 years ago

URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!! The following two triangles are s

3241004551 [841]

Answer:

$x = 26.25$ inches

Step-by-step explanation:

Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.

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Cross multiply:

$236.25 = 9x$

Divide both sides by '9' to solve for 'x':

$\frac{236.25}{9} = \frac{9x}{9}$

$x = 26.25$

Therefore, side length 'x' equals 26.25 in.

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2 years ago

10x+8(1/3 x + 2/3) =-20

ra1l [238]

Answer:

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Step-by-step explanation:

1. Multiply both sides by 3

38/3x x 3 +16/3. x =-20x3

2. Simplfy

38x+16=-60

3. Subtract 16 from both sides

38x+16-16=-60-16

4. Simplfy

38x=-76

5. Divide both sides by 38

38x/38=-76/38

6. Simplfy

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2 years ago

A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $80 a day plus $0.50 per mile to

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Answer:

130

Step-by-step explanation:

Step 1: write equations:

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Company B: y = 0.50x + 80

Step 2: graph your lines

Step 3: Find your intersect point

Step 4: find the points: (100,130)

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2 years ago

Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up

Effectus [21]

Answer:

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Step-by-step explanation:

This question is solved treating these probabilities as Venn events.

I am going to say that:

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This means that $P(A) = 0.65$

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36% end up investing in both stocks and bonds.

This means that $P(A \cap B) = 0.36$

What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

This is $P(A \cup B)$ , given by the following equation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

Considering the values we have for this problem:

$P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67$

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2 years ago