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Marat540 [252]
3 years ago
5

Hey yall i would really appreciate your help on this plz

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2

Therefore, the length of the opposite side (x), is 27.2

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What are the necessary conditions to apply the SAS triangle congruence theorem?
Gala2k [10]

Answer:

The correct answer is 2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.

Step-by-step explanation:

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

An included angle is an angle formed by two given sides.

So, the correct answer is 2. An angle and the two sides collinear with the angles race are congruent to the corresponding parts of another triangle.

5 0
3 years ago
Can someone help me on this pls? It’s urgent, so ASAP (it’s geometry)
SashulF [63]

<u>Question 2</u>

1) \overline{PR} \perp \overline{QS}, \overline{PQ} \cong \overline{PS} (given)

2) \overline{PR} \cong \overline{PR} (reflexive property)

3) \angle PRQ and \angle PRS are right angles (perpendicular lines form right angles)

4) \triangle PRQ and \triangle PRS are right triangles (a triangle with a right angle is a right triangle)

5) \triangle PRQ \cong \triangle PRS (HL)

Question 3

1) \angle C is a right angle, \overline{AC} \cong \overline{AE}, \overline{DE} \perp \overline{AB} (given)

2) \angle DEA is a right angle (perpendicular lines form right angles)

3) \triangle ACD and \triangle DAE are right triangles (a triangle with a right triangle is a right angle)

4) \overline{AD} \cong \overline{AD} (reflexive property)

5) \triangle ACD \cong \triangle AED (HL)

6) \angle CAD \cong \angle DAE (CPCTC)

7) \overline{AD} bisects \angle BAC (if a segment splits an angle into two congruent parts, it is an angle bisector)

7 0
3 years ago
Find the 12th term of the geometric sequence 4,8,16?
11Alexandr11 [23.1K]

Step-by-step explanation:

From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.

The solution is attached below. The answer is 8192

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3 years ago
What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic
Semenov [28]

Answer:

V=π(d

2)2h=π·(12.8

2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so

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4 years ago
Plzzzzzzzzzzzz help me ASAP!!!!!!
Gennadij [26K]
First we add by 4, so the equation would look like this: \frac{w}{8} = 24.

Then we multiply by 8 so it looks like this: w = 192.

So the answer would be: w = 192.

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