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kvasek [131]
3 years ago
10

19.

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

Step-by-step explanation:

1). Since angles P and Q are supplementary,

m∠P + m∠Q = 180°

(5x + 3)° + (x + 3)° = 180°

6x + 6 = 180

6x = 174

x = 29

Therefore, Option (3) is the answer.

2). If a point P lies in the interior of ∠RST,

m∠RST = m∠RSP + m∠TPS

(Since, line SP is bisector of angle RST)

m∠RST = 40° + 10°

             = 50°

Therefore, option (2) is the answer.

3). AB = distance between two points A and B on a number line

          = 8 - (-12)

          = 8 + 12

          = 20

Therefore, length of AB = 20 units.

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Find the lateral area of the prism.<br> 4cm<br> 3cm <br> 6cm<br> 5cm<br> Lateral Area = [?]cm2
kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0
2 years ago
I WILL GIVE YOU BRAINLIEST!!
ollegr [7]

Answer:

32 goldfish

Step-by-step explanation:

Given:

  • Number of fish tanks = 8
  • Volume of water per fish tank = 5,544 in³
  • Water required by 1 goldfish = min 1,386 in³

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

3 0
2 years ago
Need help with these math questions
PSYCHO15rus [73]

\sqrt{16-x}        x = 8

Since x = 8, you can plug in/substitute 8 for "x" in the equation:

\sqrt{16-x}

\sqrt{16-8}

\sqrt{8}

2.82842

2.83 You answer is the 4th option


\sqrt{x+7}     x = 9

Plug in 9 for "x" in the equation

\sqrt{x+7}

\sqrt{9+7}

\sqrt{16}

4    Your answer is the 1st option

4 0
3 years ago
The equation of a line is x + 5y = 12.
Svet_ta [14]

Answer: C: 12/5

Step-by-step explanation:

y intercept is where x is 0, so set x equal to 0

0+5y=12

y=12/5

4 0
2 years ago
Use the slope-intercept form equation for the line of fit, estimate the number of students who will be in the math club during t
stich3 [128]

Answer: It's 74

Step-by-step explanation: I just took the test, i hope it helps you guys.

7 0
3 years ago
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