what is the measure of CAB?

What Is The Measure Of CAB?

Answers

Answer 1
Angle CAB = 84°

∠CAB and the angle above it whose measure is 84° are vertically opposite angles , which means their measure will be equal .

∴ The measure of angle CAB = 84°
Answer 2

By the definition of vertically opposite angle, Measure of an angle CAB is, 84°.

What are Parallel lines?

Parallel lines are those lines that are equidistance from each other and never intersect each other.

We know that;

The vertically opposite angles are equal to each other.

Here, ∠CAB and the angle above it whose measure is 84° are vertically opposite angles.

Hence, Measure of ∠CAB = 84°

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Related Questions

In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change in the number of students in the band.

Answers

It is five more people joining the band every year. This is because there was an increase of 30 people, over a six year period. You then have to divide thirty by six to get the change rate of 5 more people in the band each year

A rate of change tells us how one quantity changes in relation to another quantity.

The annual rate of change in the number of students in the band is 5.

What is rate of change?

A rate of change is a rate that tells us how one quantity changes in relation to another quantity.

We have,

Number of students in the band in 2012 = 275

Number of students in the band in 2018 = 305

The rate of change in the number of students in the band:

= 305 - 275 / 2018 - 2012

= 30 / 6

= 5

Thus the annual rate of change in the number of students in the band is 5.

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a b c d or d helpp pleas!

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.

Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.
Who runs faster? Use the drop-down menu to show your answer.

Answers

Answer:

Ava

Step-by-step explanation:

because we multiply by 3 miles, 50 minutes, 0.83

and you get 124.5

its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25

sorry if wrong! hope this helps!

I have no idea how to do this

Answers

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

What is the measure of ZRIA?
R
PA
N
999
.
A. 55
B. 30°
O C. 95°
D. 60°

Answers

The answer would be A

The measure of angle RIA is 55 degrees, option A is correct.

What is Coordinate Geometry?

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

We have to find the measure of angle RIA

The opposite angle of RIA is LIK

Let us find the measure of LIK

∠FIL+∠LIK+∠KIN=180

30+∠LIK+95=180

∠LIK + 125 =180

Subtract 125 from both sides

∠LIK = 180 - 125

=55 degrees

∠LIK is equal to ∠RIA

∠RIA = 55 degrees

Hence, the measure of angle RIA is 55 degrees, option A is correct.

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Write a positive or negative number for each situation.
a. you win $150 in a contest
b. a loss of 15 yards in a football game
c. 75 feet below sea level
d. 35 degrees above 0 degrees F
e, a debt of $24.75

Answers

a) +150; b) -15; c) -75; d) +35; e) -24.75

Algebra Find the missing number.
12. 34 – 8 = 35 -
n 5
Topic 6 Lesson 5

Answers

The answer is 9 because 34-8 = 26 so then if you 35-26= 9 then add 9+26=35

Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.

Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31

Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81

Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31

Using calculator and treating temperature and growth data as samples :

Temperature :

Mean : ΣX/n

n = sample size

Mean temperature (m) = 211.45 / 7

Mean temperature = 30.21°C

Standard deviation (s) :

Sqrt(Σ(X - m)²/n - 1)

s = 0.403

Growth:

Mean : ΣX/n

n = sample size

Mean growth (m) = 17.38 / 7

Mean growth = 2.483 mm/yr

Standard deviation (s) :

Sqrt(Σ(X - m)²/n - 1)

s = 0.161

Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.

The intercept of the graph = 17.812

The slope of the relationship : -0.504

PLEASE HELP ASAP

can you help me please​

Answers

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!

Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?

Answers

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50
cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as
many as Luis had given away.
If they both now have the same number of baseball cards, how many baseball cards did Roberto
give away?

Answers

Answer:

X=15

Step-by-step explanation:

50−x=80−3x

Step 1: Simplify both sides of the equation.

50−x=80−3x

50+−x=80+−3x

−x+50=−3x+80

Step 2: Add 3x to both sides.

−x+50+3x=−3x+80+3x

2x+50=80

Step 3: Subtract 50 from both sides.

2x+50−50=80−50

2x=30

Step 4: Divide both sides by 2.

2x \2 = 30 \2

Answer:

x=15

The number 49 has exactly three factors Since 98 is a multiple of 49, which must be tue of 982
It must have only two factors
tmusthave fewer than three factors
It must have exacty three factors
t must have more than three factors

Answers

Must have more than three factors

Answer:

it must have more than 3 factors

Step-by-step explanation:

that factors are 1,2,491,982

find the quotient 5,9,374

Answers

Answer:

I don’t know exactly what ur asking but I hope this helps

Step-by-step explanation:

6.33

NOT Answer:

i would be glad to answer this but whats a quotient

sory

Find 8% of $40 answers with the nearest penny

Answers

Answer:

3.20

Step-by-step explanation:

Sorry i had the same question and i asked the teacher if he could help and he did but he sorta juts gave me the answer so cant really give an explanation so sorry.

Solve 6x - 7y= 16 for y.

Answers

Answer:

y = 6/7x -16/7

Step-by-step explanation:

6x - 7y= 16

Subtract 6x from each side

6x-7y-6x = -6x+16

-7y = -6x+16

Divide by -7

-7y/-7 = -6x/-7 + 16/-7

y = 6/7x -16/7

6x - 7y = 16

Subtract 6x from both sides.

-7y = -6x + 16

Divide both sides by -7

y = 6/7x - 16/7

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume

Answers

Complete Question

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability

Answer:

a

The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10

b

[tex]P(X = 6) =   0.158 [/tex]

Step-by-step explanation:

From the question we are told that

 The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]

   The sample size is  n = 10

The possible value x can take is  0, 1 ,2,3,4,5,6,7,8,9,10

Generally the probability that exactly 6  households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as

      [tex]P(X = 6) =  ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]

Here C denotes combination

So

        [tex]P(X = 6) =  ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]

=>    [tex]P(X = 6) =   0.158 [/tex]

What is the value of f(0) on the following graph?
y = f(x)

Answers

Answer:

f(0)=2

Step-by-step explanation:

As the graph states y=f(x), so to solve you must find the value of y when x=0 (because that is what is in the paratheses). So go to the place on the graph where x equals 0 then follow up until you intersect with the function. If x=0 then y=2.

In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month

Answers

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?

Answers

Answer:

The greatest common factor (GCF) of the two numbers is 330.

Step-by-step explanation:

Given;

prime factors of the two numbers = 2, 3, 5, and 11

The greatest common factor (GCF) of the two numbers is given as;

Greatest Common Factor (GCF) = 2 x 3 x 5 x 11

Greatest Common Factor (GCF) = 330

Therefore, the greatest common factor (GCF) of the two numbers is 330.

Answer:

330

Step-by-step explanation:

Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)

Answers

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

M = (1, 3.5)

The coordinates of the midpoint of LB are (1, 3.5)

What are the angles x?

Answers

Answer:

TOP LEFT TRIANGLE:  x=28°

BOTTOM LEFT TRIANGLE:  x=90°

TRIANGLE ON THE RIGHT:  x=34°

Step-by-step explanation:

TOP: the triangle on the right has 90 and 39.  That makes the third one 51. It’s supplement is 129.  129+23=152. 180-152=28. X=28°

BOTTOM: 180-119=61.  61+29=90.  180-90=90.  X=90°

RIGHT: right triangle has 90 and 70.  90+70=160. 180-160=20

180-70-41-15-20=34°

Can someone please tell me answerrrrrrr

Answers

Answer: B

Steps: $208.08

PLz mark brainliest:)

Please answer question a & b.

a) Work out the following:

3/4 - 7/9 + 2


b). Which is the largest of the following numbers?

0.1, 0.02, 0.003, 0.0004, 0.00005

Please help due today.

Answers

Answer:

a)

b)0.1

pls refer to the pic

Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP I WILLL GIVE BRAINLIEST!!!!!!!!!

Answers

Answer:

it is already an equation

Step-by-step explanation:

Answer:

Already and equation!

Step-by-step explanation:

a, = 8 + 2(n - 1).

Dose anyone know this.​

Answers

It is 54 because if you add a to 8 you get
the answer is 54 when you add 8 to a :)

Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.

Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.

Answers

Answer:

a) maximize 12F + 9S

where:

F = football trophies

S = soccer trophies

b) constraints:

wood ⇒ 4F + 2S ≤ 4800

plaques ⇒ F + S ≤ 1750

brass footballs ⇒ F ≤ 1000

brass soccer balls ⇒ S ≤ 1500

c) using solver, the optimal solution is 650F + 1100S = $17,700

d) plaques ⇒ F + S ≤ 200, then

optimal solution is 200F = $2,400

Solve the equation 3 + x/-2 =10

Answers

3+x/-2 =10

x/-2 = 10-3

x/-2 = 7

x = 7*-2

x = -14

Answer:

x= -14

Step-by-step explanation:

solve the quadratic equation 3x^2-5x-7=0

Answers

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

Answer:

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

x = 5 + 109 / 6 , 5 - 109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

Can someone plz explain to me how to do this !? Geometry

Answers

The scale factor is 3

if you look at the graph its y3 x3 the larger one is y9 x9 if you divide the two you get 3

can you please give brainliest

Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

Answers

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

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