find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
NO LINKS OF ANY KIND
Answers
I'll do problems 13 and 14 to get you started.
=====================================================
Problem 13
Answer: 32 degrees-----------------------
Explanation:
Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.
If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180
A+B+C = 180
z+y+y = 180
z+2y = 180
z+2(90-x) = 180 .... plug in y = 90-x
z+180-2x = 180
z-2x = 180-180
z-2x = 0
z = 2x
We'll use this later.
Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,
z+26 = 90
z = 90-26
z = 64
Now plug this into z = 2x and solve for x
z = 2x
64 = 2x
2x = 64
x = 64/2
x = 32
=====================================================
Problem 14
Answer: 31 degrees-----------------------
Explanation:
Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).
Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.
The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).
Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.
y+y+62 = 180
2y+62 = 180
2y = 180-62
2y = 118
y = 118/2
y = 59
As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,
x = 90-y
x = 90-59
x = 31
Side note: it is not a coincidence that we ended up with half of the value of 62.
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A company sells cereal in two different-sized boxes: a 17-ounce box for $2.89, and a 24-ounce box for $3.29. How do the unit prices of the two boxes compare?
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Rationalize the denominator and simplify
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PLEASE HELP BRO IM FAILING MATH
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Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees
Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.
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Answer:
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
Value of x & y when
equations are
2x-3y=-21-6x+2y= 7is
x = 1.5
y = 8
Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answers
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points [tex]\left( x_1,\,y_1,\,z_1\right)[/tex] and [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]
[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]
A factory employs 18 women to sew 540 dresses. The women take 6 weeks to do the job. If 12
women had been employed instead, how many weeks would it have taken them to sew the 540
dresses?
Answers
9514 1404 393
Answer:
9 weeks
Step-by-step explanation:
In problems of this nature, the usual assumption is that the time required is proportional to the work product and inversely proportional to the number of people doing the job. Here, there is no change in the amount of work, but the number of people is reduced by a factor of 12/18 = 2/3.
So, the amount of time required is expected to increase by a factor of 1/(2/3) = 3/2.
(6 weeks)×(3/2) = 9 weeks
It would have taken 9 weeks to sew the 540 dresses.
-7 2/3 + (-5 1/2) + 8 3/4
in faction
Answers
Answer:
= -4.41666666667
Step-by-step explanation:
Answer:
[tex]-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\[/tex]
LCM (3, 2 ,4) = 12
[tex]\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}[/tex]
Choose all the numbers that make 5 × □ < 5 true.
A- 1 1/4 B-3/8 C-10/11 D-4 4/5 E- 4/3 F- 1/4
Answers
Answer:
B, C, F
Step-by-step explanation:
It's asking 5 x (what?) is less than 5.
It has to be less than one to be a correct answer then.
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for
O 3x+ 5x=4
O 3x+4= 5x
О 3x =4+5х
O 3x-4-5x
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Use proportions to solve the following problem. A recipe calls for 4 eggs and 3 cups of milk. To prepare for a larger number of guests, a cook uses 22 eggs. How many cups of milk are needed?
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Answer:
16.5 cups of milk are needed.
Step-by-step explanation:
i hate you for reporting my answer.
Please help me this is for a test. Thank you so much whoever answers this.
Answers
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters
Answers
Answer:
64
Step-by-step explanation:
A P E X
Which value for x makes the sentence true?
Answers
One clue to this (if you don’t just multiply 0.22 by 2.95) Is that this is the only value above 1. since the ending equation has a number larger than the original, this is a give away! Hope this helps :)
BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches
Answers
Answer:
D. 96 inches.
Step-by-step explanation:
Radius of cylinder = 1/2 * 24 = 12 inches.
Radius of the cone = 1/2 * 12 = 6 inches.
Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h
So pi 12^2 * 8 = 1/3 pi * 6^2 * h
1152 pi = 12 pi h
h = 1152/12
h = 96 inches.
A company is making aid badges with personal ID codes on them for each employee. The ID code will consist of two letters followed by 2 digits. Using this scenario, how many possible ID codes are there?
Answers
Answer:
67, 600
Step-by-step explanation:
There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
A company is making aid badges with personal ID codes on them for each employee.
The ID code will consist of two letters followed by 2 digits.
Then the number of ways ID codes are there will be
[tex]\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
In ΔEFG, f = 37 inches, g = 92 inches and ∠E=97°. Find the area of ΔEFG, to the nearest square inch.
Answers
Answer:1689
Step-by-step explanation:
Delta Math
help me please i will give 50 pts and a brainiest
Answers
Answer:
14 Feet
Step-by-step explanation:
Answer:
14 is the answer
140/10=14
hope this helps
have a good day :)
Step-by-step explanation:
PLEASE HELP MEEEEEEEEE
Answers
9514 1404 393
Answer:
A, B
Step-by-step explanation:
The equation is equivalent to ...
cos(x -π/7) = -(√2)/2
x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII
x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B
Help please i will upload a picture
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Answer:
(1,1) is the answer
Explanation:
Both lines cross at (1,1)
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Answer:
43 3/4 cups of cheese
8 3/4 cups of olives
26 1/4 cups of sausage
Step-by-step explanation:
Answer:
43 3/4 cup of cheese
26 3/4 cups of olives
8 1/3 cups of sausageLetter G is plotted in which Quadrant?
A . Quadrant IV
B.Quadrant II
c. Quadrant III
D. Quadrant I
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Answer:
please send the picture of the question plz!
Step-by-step explanation:
Help help help I need help ASAP
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Answer: 54.4
Step-by-step explanation:
reduce to hours and minutes 66000 seconds
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Answer:
18.333333 hours
Step-by-step explanation:
1099.99998 mintunes
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed.Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P(________________) = _______
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =____________
Answers
Answer: i think it would be 20
Step-by-step explanation:
if you do the problem it should show you
Meat costs $ 20.86 for 4 pounds. What is the cost for one pound of meat?
Answers
Answer:
20.86/4=5.215
Your answer is $5.215
Brainliest would be great!
20.86/4=5.215
Your answer is $5.215
Step-by-step explanation:
Simplify the following radical expression square root of 20
Answers
Answer:
2 radical 5
Step-by-step explanation:
i am smart
Answer:
[tex]\sqrt{20} =2\sqrt{5}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{20}[/tex]
Step 1: Factor out the biggest square number:
[tex]\sqrt{4}\sqrt{5}[/tex]
Step 2: Simplify:
[tex]2\sqrt{5}[/tex]
Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answers
Explanation; because 500 + 250 = 750
Answer:
the expression b/c=b/c is an example of a/an
If the height is 24, solve for x. h=-16x^2+8x+48
Answers
Answer:
x=
32
7+
3121
,
32
7−
3121
Step-by-step explanation:
h+16^2-8x-48=0
-7x+16x^2-48=0
x=
32
7+
3121
,
32
7−
3121
please help due in an hour
Answers
Answer:
x=30°
Step-by-step explanation:
3x-10=2x+20
3x-2x=20+10
x = 30°
just x, no y in the photo