Answers
Given:
The figure of a parallelogram.
To find:
The measure of angle Z.
Solution:
We know that, the consecutive interior angles of a parallelogram are supplementary angles, it means there sum is 180 degrees.
In the given figure angle W and angle Z are supplementary angle. So,
[tex]m\angle W+m\angle Z=180^\circ[/tex]
[tex](18b-11)^\circ+(9b+2)^\circ=180^\circ[/tex]
[tex](27b-9)^\circ=180^\circ[/tex]
[tex](27b-9)=180[/tex]
Adding 9 on both sides, we get
[tex]27b=180+9[/tex]
[tex]27b=189[/tex]
[tex]b=\dfrac{189}{27}[/tex]
[tex]b=7[/tex]
Now,
[tex]m\angle Z=(9b+2)^\circ[/tex]
[tex]m\angle Z=(9(7)+2)^\circ[/tex]
[tex]m\angle Z=(63+2)^\circ[/tex]
[tex]m\angle Z=65^\circ[/tex]
Therefore, the correct option is C.
Related Questions
The hanger image below represents a balanced equation.
Write an equation to represent the image.
Answers
Answer:
there is no image
Step-by-step explanation:
Theres no image.........
why is the petrol price cheaper at coastal than inland
Answers
Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.
A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answers
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
A number x is rounded to 1 decimal place and its 3.7
write down the error interval for x
Answers
The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.
Given that a number x is rounded to 1 decimal place and its 3.7.
We need to find the error of the interval for x,
To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.
When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.
Therefore, the error interval for x would be (3.65, 3.75).
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The angle of a triangle is 44°, 44°, and x°. What is the value of x°?
Answers
Find the value of x.
Answers
Answer:
16
Step-by-step explanation:
2x8
Find the area of the figure round to the nearest tenth
Answers
Answer:
180 m
Step-by-step explanation:
HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS
Answers
Answer:
Step-by-step explanation:
you need more information to be able to answer the question. Is there any other information they gave you?
i think you are right maybe but this is helpful sorry!
Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
XYZ
Step-by-step explanation:
due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Answers
Answer:
1/4 the new area
Step-by-step explanation:
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Given that:
Initial dimension of patio = 5' by 10'
Initial area of patio = Area of rectangle = Length * width
Area of patio = 5 * 10 = 50 in²
If dimension is multiplied by 2
New dimension :
5* 2 by 10*2 = 10' by 20'
New area of patio :
10 * 20 = 200 in²
50 /200 = 1/4
The old area will be 1/4 the size of the new area of the patio
HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE
Answers
Answer:
1. False
2. True
3. True
Step-by-step explanation:
Whoever helps me will have a good day and maybe get kissed by your crush
Answers
Answer:
16
Step-by-step explanation:
i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds
What is the value of the flowers?
Answers
Answer:
24
Step-by-step explanation:
6*6=36
6+10=16
2*10=20
Flower=10-6+20=24
HELP ILL GIVE U THE BRAINLIEST
Answers
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
There are fewer than 3 gallons of gas in the tank. Use as your variable.
The inequality is
Answers
>3. its less than 3 because it is
brian, tim and kenny got paid a total of $240 for mowing neighborhood lawns . They split the money in the ratio of 5:9:10 . how much money did each boy make . PLEAEEEE SHOW THE work i’m really struggling rn
Answers
Answer:
$50 for Brian
$90 for Tim
$100 for Kenny
Step-by-step explanation:
Let 5x = amt for Brian
9x = amt for tim
10x = amt for ken
5x + 9x + 10x = 240
24x = 240
x = 10
5x = 5(10) = $50 for Brian
9x = 9(10) = $90 for Tim
10x = 10(10) = $100 for Kenny
Answer:
Step-by-step explanation:
5x + 9x + 10x = $240
x = $10
Brian got 5x = $50
Tim got 9x = $90
Kenny got 10x = $100
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water
bottle. Which of the following methods would work to create the larger water bottle with the intended volume?
1. Double the radius of the original water bottle. Keep the height the same.
II. Double the height of the original water bottle. Keep the radius the same.
III. Double the height and double the radius of the original water bottle
IV. Quadruple the height of the original water bottle. Keep the radius the same
o I and IV
O I and 11
O I, II, III, and IV
O III and IV
Answers
Answer:
option 3, double the height and with of original bottle
The methods which will create the larger water bottle with the intended volume is 1 and IV.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given that,
A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.
Volume of a cylindrical shape = π r² h
Let V be the original volume.
If radius is doubled, then the new volume is,
V' = π (2r)² h = 4(π r² h) = 4V
So 1 is an option.
When the height is Quadrupled,
V' = π r² 4h = 4(π r² h) = 4V
Hence the correct options are 1 and IV.
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For a school fundraiser, Percy bought a big box of rubber ducks and wrote prize amounts, in dollars, on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and $100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500.
Percy then put all the rubber ducks in his school’s swimming pool. At the fundraiser, participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the rubber duck, and then they threw the duck back into the pool before the next person’s turn. Since the ducks were returned to the pool after they were caught, the chances of winning any particular amount remained the same.
Amir paid $15 to play the game once. If we assume he randomly selected a du
Answers
Answer:
i dont know
Step-by-step explanation:
Find the measure of the angle indicated
Answers
72⁰
HOPE IT HELPS YOU THANK YOU ☺
Answer:
37 degree
Step-by-step explanation:
RQS is suspened by arcRS
RQS=1/2(RS)
RQS=1/2(74)
RQS=37
2 + 1.25f = 10 - 2.75f
Answers
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
Solve for angle B, then side a. Round to the nearest tenth.
Answers
Answer:
Angle B: 28 degrees
Side a: 27.6
Step-by-step explanation:
Angle B:
180-112-40=28
Side a:
sin 28/14 = sin 112/a
a = sin 112(14)/sin 28
a = 27.6
Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
Answers
Answer:
1). 4.2 2). 7.65 3). 14.14
Step-by-step explanation:
1). √(y2 - y1)² + (x2 - x1)²
√[-1 - (-4)]² + [-3 - (-6)]²
√(3)² + (3)²
√9 + 9
√18
= 4.2
2). √(2.5 - 1)² + ( -4 - 3.5)²
√(1.5)² + (-7.5)²
√(2.25) + (56.25)
√58.5
= 7.65
3).√(5 - (-5)² + (-5-5)²
√(10)² + (-10)²
√(100) + (100)
√200
= 14.14
What’s the answer?
Needed now
Answers
What is the surface area of the rectangular pyramid
Answers
Answer:
88.8 cm square
Step-by-step explanation:
Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number
Answers
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.
Answers
Answer:
(1/2,0) is one solution
(-4/3,0) is the other solution.
Step-by-step explanation:
i hope this helps you it might not be right
I need help!! Bill will spend at most $29 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? 
Answers
Answer:
$ is less than or equal to $16
Step-by-step explanation:
(7a-1)^2 please help me quickly
Answers
Answer:
14a-2
Step-by-step explanation:
How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number
Answers
Answer:
volume = 595 in³
Step-by-step explanation:
radius = 6/2 = 3
volume = 3.15(3²)(21) = 595.35 in³
sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account
Answers
Answer:
With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.
Step-by-step explanation:
