Solve for x. Note: Figure not drawn to scale.AA
B
8
X
24.6°
C
D
Solve for x. Note: Figure not drawn to scale. AA - 1

Answers

Answer 1
Answer:

Answer:

x = 65.4°

Step-by-step explanation:

the 2 angles x and 24.6° form ∠ ABD , that is

∠ ABC + ∠ CBD = ∠ ABD ( substitute values )

x + 24.6° = 90° ( subtract 24.6° from both sides )

x = 65.4°


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The base of an isosceles triangle is 24 inches and one of the base angles is 53o. Find to the nearest inch the altitude drawn to the base. Hint: Draw the right triangle as it is described on the problem. 1. Describe your reasoning and the steps you will take into finding the answer to the problem. 2. Find the answer to the problem.

Someone help me simplify this 3t+12-9=

Answers

it's simple

3t+3

just this

You would subtract 9 from 12 which would give you 3 which would lead you to 3t+3

wo cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a nine and then selecting an eight. The probability of selecting a nine and then selecting an eight is nothing.

Answers

Answer:

0.6%

Step-by-step explanation:

We have a standard deck of 52 playing cards, which is made up of 13 cards of each type (hearts, diamonds, spades, clubs)

Therefore there are one nine hearts, one nine diamonds, one nine spades and one nine clubs, that is to say that in total there are 4. Therefore the probability of drawing a nine is:

4/52

In the second card it is the same, an eight, that is, there are 4 eight cards, but there is already one less card in the whole deck, since it is not replaced, therefore the probability is:

4/51

So the final probability would be:

(4/52) * (4/51) = 0.006

Which means that the probability of the event is 0.6%

Please help me with this word problem!Suppose you lay exactly 160 feet of fencing around a rectangular garden. If the length of the garden is 3 times its width, find the dimensions of the garden.
Length: __ feet
Width: __ feet

Answers

Step-by-step explanation:

the perimeter (the way one time around it) of a rectangle is

2×length + 2×width

length = 3×width

2×(3×width) + 2×width = 160

6×width + 2×width = 160

8×width = 160

width = 160/8 = 20 ft

length = 3×width = 3×20 = 60ft

PLEASE HELP ASSIGNMENT DUE TODAY NEED TO PASS 1)
You have 2 lines. The first goes through points (6, 2) and (4, 6). The second goes through points (5,-1) and (1, 1). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

2) You have 2 lines. The first goes through points (7, 0) and (4, 6). The second goes through points (1, 1) and (5,3). These lines are:

A) perpendicular

B) parallel

C) horizontal and vertical

D) none of the above

Answers

Answer:

1. D

2. A

Step-by-step explanation:

To determine the type of line, find the slope.

  • Slopes which are the same are parallel
  • Slopes which are negative reciprocals are perpendicular
  • Slopes which are undefined (0 in the denominator) are horizontal.
  • Slopes which are 0 are vertical.

1. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

(y_2-y_1)/(x_2-x_1) = (6-2)/(4-6)=(4)/(-2)=-2

(y_2-y_1)/(x_2-x_1) = (1--1)/(1-5)=(2)/(-4)=(-1)/(2)

These are reciprocals of each but not the negative or opposite signs of each other. This is none.

2. Find the difference in y values over the difference in x values. Calculate the slope using the formula:

(y_2-y_1)/(x_2-x_1) = (6-0)/(4-7)=(6)/(-3)=-2

(y_2-y_1)/(x_2-x_1) = (3-1)/(5-1)=(2)/(4)=(1)/(2)

These are reciprocals of each and the negative or opposite signs of each other. These are perpendicular.

Can someone please help? U get points just from typing and I would really appreciate it.The sum of two consecutive numbers is 131. What are the two numbers?
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131


No links or fake answers pls. Thank you for understanding.

Answers

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

A study is being conducted to compare the average training time for two groups of airport security personnel: those who work for the federal government and those employed by private security companies. From a random sample of 12 government-employed security personnel, average training time was 72 hours, with a sample standard deviation of 8 hours. In a random sample of 16 privately employed security personnel, training time was 65.4 hours, with a sample standard deviation of 12.3 hours. Assume that training time for each group is normally distributed. Use the following notations:μ1: The mean training time for the population of airport security personnel
employed by the federal government.
μ2: The mean training time for the population of airport security personnel
employed by private security companies.
The goal of the statistical analysis is to determine whether the sample data support the hypothesis that average training time for government-employed security personnel is higher than those employed by private security companies.
1. What is the null hypothesis H0?
Select one:
a. μ1- μ2 <= 0
b. μ1- μ2 < 0
c. μ1- μ2 =/ 0
d. μ1- μ2 > 0
2. What is the alternative hypothesis Ha?
Select one:
a. μ1- μ2 > 0
b. μ1- μ2 <= 0
c. μ1- μ2 = 0
d. μ1- μ2 >= 0

Answers

Answer:

1.a. H₀: μ₁ - μ₂ ≤ 0

2.b. H₁: μ₁ - μ₂ > 0

Step-by-step explanation:

Hello!

The objective is to compare the average training time for two groups of airport security personnel.

Group 1: Security personnel that works for the federal government

n= 12

X[bar]= 72 hs

S= 8hs

Group 2: Security personnel from private companies

n= 16

X[bar]= 65.4 hs

S= 12.3 hs

The goal of the analysis is to test if the average training time for government-employed security personnel is higher than those employed by private security companies, symbolically: μ₁ > μ₂

The null and alternative hypotheses are complementary and exhaustive.

The null hypothesis always represents the "no change situation" and therefore always carries the = symbol. Generally, the researcher's claim is stated in the alternative hypothesis.

With all this in consideration, the hypotheses for this experiment are:

H₀: μ₁ ≤ μ₂

H₁: μ₁ > μ₂

I hope this helps!