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geniusboy [140]
3 years ago
7

PLEASE SOMEONE HELP ME WITH THESE MATH QUESTIONS!!! *VERY URGENT* *IF YOU ANSWER CORRECTLY, YOU'LL GET 10 POINTS!*

Mathematics
1 answer:
Tasya [4]3 years ago
7 0

Answer:

Question 21: C.

Question 22: I.

Question 23: E.

Question 24: B.

Step-by-step explanation:

#21: The first statement is presented in the "Given" section.

#22: Since the reflexive property states that anything is equal to itself, BC ≅ BC.

#23: C being the midpoint of AD means that C is the same distance from both point A and point D. This then means that AC ≅ CD.

#24: AB ≅ DB due to the given, BC ≅ BC (since it's the same side), and we've proven that AC ≅ CD using a midpoint. We've proven <em>all three sides</em> on the two triangles to each other are congruent. This means that we've proven the triangles using SSS, which is B.

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which of the following is the most appropriate unit to describe the rate at which people are entering a theme park A. hours per
Aleksandr-060686 [28]
People per hour because the dependent quantity is the hours.
The number of people that enter depends on the number of hours the park is open 
7 0
3 years ago
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Find the equation of the line of the circle passing through the points (1,2) (3,-4) (5,-6)
Cerrena [4.2K]

Answer:

(x-11)² + (y-2)² = 10²

Step-by-step explanation:

Given circle passes through

P(1,2), Q(3,-4), R(5,-6)

Assume following circle with centre O(a,b) and radius r contains P,Q,R.

(x-a)²+(y-b)² = r^2 ...........(1)

Substitute P in (1) and expand, simplify

(1-a)²+(2-b)²=r²

a²+b² -2a-4b+5-r²=0  .......(2)

Similarly, substitute Q in (1) and expand, simplify

(3-a)²+(-4-b)² = r²

a²+b²-6a+8b+25-r²=0  ...........(3)

Similarly, substitute R in (1) and expand, simplify

(5-a)²+(-6-b)² = r²

a²+b²-10a+12b+61-r²=0  ...........(4)

We can now eliminate a^2 and b^2 by simple subtractions

(2) - (3)

4a-12b-20 = 0   ..........(5)

(3) - (4)

4a-4b-36 = 0   .............(6)

Finally, (6) - (5) and solve for b

8b - 16 = 0

b=2   ..............................(7)

substitute b in (5) and solve for a

4a-12(2) -20 =0

4a=44

a=11  ................................(8)

Finally, substitute a & b in (2) to solve for r

r^2 = 11²+2²-2*11-4*2+5 = 121+4-22-8+5 = 100

r=sqrt(100) = 10  (positive value only)

therefore the equation of the circle is

(x-11)² + (y-2)² = 10²

6 0
3 years ago
This question is based on Algebra 1<br> solve for X <br><br> 3x-4y=7
timurjin [86]

Answer:

x=\frac{4y+7}{3}

General Formulas and Concepts:

<u>Alg I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

3x - 4y = 7

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 4y to both sides:          3x = 4y + 7
  2. Divide 3 on both sides:        x = (4y + 7)/3
6 0
3 years ago
The average response time to a bank robbery is 9 minutes. A local community wants to improve on this time, so they implement adv
timurjin [86]

Answer:

The training does reduce response time at 0.05 level of significance

Step-by-step explanation:

Population mean for a population with normal distribution, where the standard deviation is known and the appropriate significant test is given then;

z=x-μ / δ/√n

where

μ= 9 minutes

x=8 minutes

δ= 4.2

n= 36

Applying the formula;

z= 8-9 / 4.2/√36

z= -1 / 4.2/6

z= -1 /0.7 = - 1.429

Perform the test where

H₀ : p=0.05 verse Ha : p < 0.05

Using the Z-table, find the probability that Z is less than -1.43.

You will find the probability of 0.0764 of Z being more than the value in test thus; there are high chances that results will be observed according to the null hypothesis

6 0
3 years ago
!!20 POINTS!! Claire filled up her car with gas before embarking on a road trip across the country. Let G represent the number o
pentagon [3]

Answer:

G=-\frac{5}{4}t+15

Slope = -\frac{5}{4}

Step-by-step explanation:

Let the equation representing the number of gallons left in the gas tank is,

G = mt + b

Where m = slope of the line

b = y-intercept of the line

Slope of the line passing through two points (x_1,y_1) and (x_2,y_2) is,

'm' = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (8, 5) and (4, 10),

m = \frac{10-5}{4-8}

m = -\frac{5}{4}

Equation of line will be,

G = -\frac{5}{4}t+b

Since, point (8, 5) lies on this line,

5 = -\frac{5}{4}(8)+b

5 = -10 + b

b = 15

Therefore equation of the function will be,

G = -\frac{5}{4}t+15

Here slope of the function represents the \frac{5}{4} gallons of gas is consumed to drive the car for one hour.

4 0
3 years ago
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