Answers
Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) 3x + z = 188 {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64
Related Questions
NEED ASAP
The dot plots below show the scores for a group of students who took two rounds of a quiz: Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 5 to 9 on the line at intervals of one. There are 2 dots above the mark 5, 3 dots above the mark 6, 4 dots above the mark 7, and 1 dot above the mark 8. For the bottom dot plot there are 6 dots above the mark 6, 2 dots above the mark 8, and 2 dots above the mark 9. Which of the following inferences can be made using the dot plot? The range of each round is the same. There is no overlap between the data. Round 1 scores were higher than round 2 scores. Round 2 scores were lower than round 1 scores.
Answers
Answer:
It D
Step-by-step explanation:
k
Answer:
d
Step-by-step explanation:
If 25% is 14, what is 100%?
Answers
Answer:
56
Step-by-step explanation:
25% = 14
Therefore,
25%*4 = 14*4
100% = 56
Find the surface area of the cylinder
8 cm
3 cm
The surface area of the cylinder is cm?
(Simplify your answer. Type an exact answer in terms of r.)
Enter your answer in the answer hoy
Answers
Answer:
V=pr²t
=3,14 ×8×8×3
=602.88
Step-by-step explanation:
IVA
Answer: surface area
A = 56 π cm^2
Step-by-step explanation:
A = 56 π cm^2
you can stop here and write our answer as 56π Or we can plug in 3.14 and multiply. 56*3.14 = 175.84cm^2
PLEASE HELP!! I don't really know how to solve this.
Answers
Answer:
x=13
y=14
Step-by-step explanation:
We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.
Knowing this, we can write two equations: [tex]4x-1=3y+9[/tex] and [tex](4x-1)+(2x+6y+19)=180[/tex]. We can solve for y in the first equation. Subtracting 9 from both sides gives us [tex]4x-10=3y[/tex]. Dividing both sides by 3 gives us [tex]\frac{4x-10}{3} =y[/tex].
We can plug that in to the second equation to get [tex](4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180[/tex]. Expanding the second parenthesis, we get [tex]2x+8x-20+19[/tex] which equals [tex](10x-1)[/tex]. We now have [tex](4x-1)+(10x-1)=180[/tex]. Expanding gives us [tex]14x-2=180[/tex]. Adding 2 to both sides gives us [tex]14x = 182[/tex]. Dividing both sides by 14 gives us [tex]x=13[/tex].
We can now plug 13 into the above equation to solve for y. [tex]y= \frac{4*13-10}{3}[/tex] Solving that gives you [tex]y=14[/tex].
In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest
tenth of a cm, how long is that leg?
Answers
Answer:
36.5 cm
Step-by-step explanation:
The Adjacent leg is 36.5 cm
What are trigonometric functions?"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
What is hypotenuse, opposite and adjacent side of a right angled triangle?"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."
We have
Hypotenuse (AB) = 58 cm
Angle θ = 51 degree
From the figure, by using trigonometric functions
Cos θ = [tex]\frac{BC}{AB}[/tex]
we have to find BC
Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]
We have, AB = 58 cm
BC = AB cos [tex]51^{0}[/tex]
⇒BC = 58 . cos [tex]51^{0}[/tex]
⇒BC = 36.50 cm
⇒BC = 36.5 cm
Hence, Adjacent leg is 36.5 cm
Learn more about trigonometric functions here
https://brainly.in/question/1013629
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Fill in the blank with a symbol that makes this statement true: 2/5 ____ 1/2
Answers
Because if you do common denominator which is 10 you get 2/5 as 4/10 and 1/2 as 5/10 so therefore 1/2 is greater
Question 6 of 10
A(n) is produced when you slice a cone with a plane that is parallel to
the base of the cone.
A. parabola
Ο Ο Ο
B. circle
C. hyperbola
D. ellipse
SUBMIT
Answers
The correct option is (b) circle .
The conic section formed by the cone and a plane parallel to its base is a circle.The surface of a right-regular cone and a plane parallel to the base of the cone cross to form the closed figure known as a circle. The ellipse, which we'll discuss next, is actually just a special instance of the circle.What is conic?Any curve created by the intersection of a plane and a right circular cone is known in geometry as a conic section, sometimes known as a conic. The intersection can be a circle, an ellipse, a hyperbola, or a parabola, depending on the angle the plane makes with the cone.What conic section is formed from slicing parallel to the base of the cone ?
The resulting curve is a circle if the cone is cut in half parallel to the base. The curve is known as an ellipse if the cone is cut at a modest angle. The curve generated is known as a parabola if the slice is done parallel to the cone's edge.Learn more about Conic brainly.com/question/22337165
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What is the graph of the system y = −2x + 3 and 2x + 4y = −8? Line through point 0, 3 and 1, 1. Line through 0, negative 2 and negative 4, 0. Line through point 0, 3 and 1, 1. Line through 0, 2 and negative 4, 0. Line through point 0, 3 and 1, 1. Line through 0, 2 and 4, 0. Line through point 0, 3 and 1, 1. Line through 0, negative 2 and 4, 0.
Answers
Answer:
X = -4-2y
Step-by-step explanation:
Answer:
Line through point 0, 3 and 1, 1. Line through 0, negative 2 and negative 4, 0.
Step-by-step explanation:
I accidentally got it right
Can someone help? Please? Thanks:)
Answers
Read the procedural text.
Plain Taffy
3.5 lbs. white sugar
2 cups water
1 teaspoon cream of tartar
Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.
Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.
Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.
Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.
Cut into bars or squares with a knife or taffy cutter while still warm.
Allow taffy to cool before eating. so the answer is A
WILL GIVE BRAINLIEST!!!!!!!
A surveyor wants to find the distance between peaks A and B. He finds point C, 288 ft from peak A, so that ACB is a right angle. The measure BAC is 89. Find the distance AB
Answers
Hints on solving trigonometry problems:
If no diagram is given, draw one yourself.
Mark the right angles in the diagram.
Show the sizes of the other angles and the lengths of any lines that are known
Mark the angles or sides you have to calculate.
Consider whether you need to create right triangles by drawing extra lines. For example, divide an isosceles triangle into two congruent right triangles.
Decide whether you will need Pythagorean theorem, sine, cosine or tangent.
Check that your answer is reasonable. The hypotenuse is the longest side in a right triangle.
How to use the tangent ratio to find missing sides or angles?
Example:
Which image shows the position of
2
n a number line?
ОА
2
-1
0
1
OB.
th
1
-1
-3
- 2
2
3
Ос.
-2
0
-3
1
2
3
D.
+
-2
- 1
Answers
Answer:
b
Step-by-step explanation:
Can you help me?! I would really appreciate it
Answers
Answer:
(3 , 8)
Step-by-step explanation:
Answer:
(3,8)
Step-by-step explanation:
the pattern of an ordered pair is (x,y). If x=3, and y=8, then you would get (3,8).
PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!
The graph shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answers
Answer: Part A: The y-intercept of the line of best fit is about 4. This represents the starting point, or figure 0.
Part B: Using the line, you could determine that the slope is about 3/2, or 1.5, and the 13th month would be at about 24 matches.
Equation: y=4x+1.5 Hope this helped plz make brainly
Answer:
The guy above is right but a few tips
Step-by-step explanation:
Dont copy paste it in. Otherwise it wont count due to teachers
Plz help me I will give you 40 points and Brainly
Answers
Help someone I just need the answer
Answers
Raquel has to fill-up 5 volleyball with air. Each ball has a radius of 4.5 inches. What is the volume of the 5 volleyballs all together?
WILL MARK BRAINLEST!!
Answers
Answer:
Mate just divide 5 by 4.5 and you got your answer (1.11)
Step-by-step explanation:
If you see any question that has each in its name then its a division question.
Solve the equation: 315= 390- 25q
Answers
Answer:
q=3
Step-by-step explanation:
315=390-25q
390-25q=315
390-25q-390=315-390
-25q=-75
Divide both sides by 25
q=3
Answer: q = 3
Step-by-step explanation:
315 = 390 - 25Q
1. Minus 390 from both sides
-75 = =-25q
2. Divde both sides by -25 to get q by itself
3 = q or q = 3
PLEASE HELP!!!
Hshehebsjahsvsvabsbbsbs
Answers
Answer:
i think its like 9.14 or sumthin
Step-by-step explanation:
is tht NWEA? lol
VI.
Molly paid $85 last month for her utilities. 55% of this amount was for electricity
a. How much did Molly pay for electricity?
What percentage of her money did she have left over?
c. What is the amount of leftover money Molly has for last month?
Answers
Answer:
$46.75
0.55 X 85 = $46.75
4)Greg's backyard is 47 feet wide. How many yards and feet is this
Answers
Answer: 15 Yards 2 feet
Step-by-step explanation:
3 feet in a yard
45/3 = 15
2 remaining = 2 feet
Answer:
15.667 in yards
Step-by-step explanation:
Determine the value of variable in the following
equation:
2x + 40 = 30
Answers
Steps:
2x + 40 = 30
2x = 30 - 40
2x = -10
x = -10 / 2
x = -5
Please no links I’ll be picking brainiest
Answers
Answer:
y=6x-2.5
Step-by-step explanation:
It goes up by $6and if it is zero miles it is -2.5.
At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph
Answers
Answer:
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph.
This means that [tex]\mu = 97, \sigma = 11[/tex]
What proportion of the player's serves are expected to be between 119 mph and 130 mph?
This is the pvalue of Z when X = 130 subtracted by the ovalue of Z when X = 119.
X = 130
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{130 - 97}{11}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
X = 119
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{119 - 97}{11}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
0.9987 - 0.9772 = 0.0215
0.0215 = 2.15% of the player's serves are expected to be between 119 mph and 130 mph.
The area of the shape given above is?
Answers
Answer:
18 sq meters
Step-by-step explanation:
A = 1/2(3)(9 + 3)
A = 1/2(3)(12)
A = 18
Jessie saves $6 each week. In how many weeks will she have saved at least $50?
Answers
Answer:
9 weeks at least to have at least 50 dollars.
Step-by-step explanation:
Well 6 dollars each week and to get AT LEAST 50 dollars you need to save for 9 weeks.
Well 9*6=54
If you do it for 8 you’d only get 48 which is not at least 50 but 54 is.
So 9 weeks is the final answer.
50≤54
50 isn’t less then 48
Answer
. . . . . .
Step by step explanation -
help please. need it asap
Answers
Answer:
x = 180 - 50 - 86 = 44°
The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.
Answers
Answer:
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Sample of 9000, 51% of students had at least one parent who was a college graduate.
This means that [tex]n = 9000, \pi = 0.51[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]
The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).
4. Calculate the compound interest earned when $8 500 at 8% per year for:
a. 3 years
b. 8 months
Answers
Heyyy...need ur help...again cause I'm uneducated
Answers
Answer:
c
Step-by-step explanation:
Answer:
A and D
That is the answer.
3 sin 0 = 3 cos 20
what is the solution set?
Answers
Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}