what is the measure of CAE?

Answer:

4x + 8

Step-by-step explanation:

4(x+2)

4*x + 4*2

4x + 8

[tex] \large\sf \leadsto 4(x + 2)[/tex]

[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]

[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]

Answer:

c. 25°

Step-by-step explanation:

Sum of angles in a triangle:

The sum of the measures of the angles of a triangle is 180º.

In this question:

Angles of 3x, 2x-13 and 5x + 3.

The sum is 180º. So

[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]

[tex]10x - 10 = 180[/tex]

[tex]10x = 190[/tex]

[tex]x = \frac{190}{10}[/tex]

[tex]x = 19[/tex]

Measure of each angle:

3x = 3(19) = 57º

2x - 13 = 2(19) - 13 = 38 - 13 = 25º

5x + 13 = 5(19) + 3 = 95 + 3 = 98º

The smallest angle is 25º, and the correct answer is given by option c.

Answer:

[tex]\angle OPS = 142^\circ[/tex]

Step-by-step explanation:

Given

The attached rectangle

[tex]\angle QOR = 142^\circ[/tex]

Required

Determine [tex]\angle OPS[/tex]

[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles

Hence:

[tex]\angle OPS = 142^\circ[/tex]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.626

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

In which [tex]\overline{x}[/tex] is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that [tex]\overline{x} = 6.2[/tex]

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

[tex]\overline{x} \pm M = 6.2 \pm 2.626(0.21)[/tex]

And the correct answer is given by option c.

Answer:

Team B scored more. By 10.

(Team A) -30 + 10 = -20 + 40 = 20

(Team B) 30 + 10 = 40 + -10 = 30

Answer:

Its the second one because

Step-by-step explanation:4/6-473*329+4= y=x+3

Answer:

4

Step-by-step explanation:

hmm i dont know this is a pretty hard  1

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.

It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".

The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.

Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].

Given arithmetic sequence

[tex]3, 5, 7, 9,.....[/tex]

n is an integer

[tex]a = 3[/tex]

By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.

So, the correct option is A

[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]

Thus, [tex]a(n) = 3 + 2n[/tex] for  [tex]n \ge 0[/tex]  functions generate the arithmetic sequence.

Find out more information about arithmetic sequence here

https://brainly.com/question/15412619

#SPJ3

Answer:

1. A director wants to know what his singers do before a performance. - Survey

2. A director wants to know who his best soprano is. - Observational Study

3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study

4. A director wants to know what musical is the most popular in the community. - Survey

Step-by-step explanation:

I just took the same quiz :)

Answer:

48 m³

4,186.67 km³

Step-by-step explanation:

volume of pyramid =

⅓×6×6×4 = 48 m³

volume of ball =

4/3 × 3.14 × 10³ = 4,186.67 km³

Answer: 720.3

Step-by-step explanation:

First you divide 6.4 by 9.8 then you divide by 470.40 to get 720.3

Hope this helps

Answer:

8

Step-by-step explanation:

Answer:

The answer is 6 and 12

Step-by-step explanation:

1x3= 3

6×3= 18

2×3=6

4×3=12

Answer:

Step-by-step explanation:

Answer:

[tex]\angle 1 = 99^\circ[/tex]

[tex]\angle 3 = 99^\circ[/tex]

[tex]\angle 4 = 81^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle 2 = 81^\circ[/tex]

Required

Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]

Solving for [tex]\angle 1[/tex], we have:

[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line

So, we have:

[tex]\angle 1 = 180^\circ-\angle 2[/tex]

[tex]\angle 1 = 180^\circ-81^\circ[/tex]

[tex]\angle 1 = 99^\circ[/tex]

To solve for [tex]\angle 3, \angle 4[/tex], we have:

[tex]\angle 3 = \angle 1[/tex]

[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles

So:

[tex]\angle 4 = 81^\circ[/tex]

[tex]\angle 3 = 99^\circ[/tex]

Answer:

a. Sin B = 15/17

b. Cos B = 8/17

c. Tan B = 15/8

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = B

Opp = 15

Adjacent = 8

Hypotenuse = 17

a. Sin B = Opp/Hyp (applying SOH)

Substitute

Sin B = 15/17

b. Cos B = Adj/Hyp

Substitute

Cos B = 8/17

c. Tan B = Opp/Adj

Substitute

Tan B = 15/8

Answer:

14

Step-by-step explanation:

[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]

Answer:

1/4

Step-by-step explanation:

The possible outcomes are :

1,2,3,4,5,6

We can see that there is a 3/6 (or 1/2) chance the outcome is even

Let E= odds of getting an even

we're looking for E∩E

Because each roll is independent of the last we can multiply to find their intersection

.5*.5= .25 or 1/4

Answer:

(AUB)UC=2,3,4,5,6,7,8,9

put all these numbers inside curly bracket

Step-by-step explanation:

Answer:

rn its currently gossip girl and Miraculous...but im watching game of thrones rn and I AM OBSESSED

Step-by-step explanation:

Answer:

For Anime Shows, Danganronpa, Naruto, Fruits Basket, and Attack on Titan! I love them all.

And for like just TV shows, Miraculous

Answer:15,400 If u take the equation then the matric rule in the olastrophy and then use clastrophy you get the answer pretty simple

THE ANSWER IS :13,000

Answer: fx + gx

 f(x) =x^2 -13x + 36

g(x) = x - 9

Answer: A

Step-by-step explanation:

4.7+2.8 = 7.5

And

7.5 -4.7 = 2.8

Answer:

what question is thiswho would count the balls as many which can fit in it

Answer:

Hypothesis: Whitney thought that 5,000 tennis balls would fit into the room, whereas I ... We then figured out that the ceiling juts, the windows, and the corner windows are ... We had to find the height of the room, too, which was about 9 feet.

Answer:

69 miles per hour

Step-by-step explanation:

Given

Trip to:

[tex]t_1 = 6[/tex] --- time

[tex]s_1 = 23 + s_2[/tex]

Trip back

[tex]t_2 = 9[/tex]

Required

Determine the average speed to Johannesburg

Average speed is calculated as:

[tex]speed = \frac{distance}{time}[/tex]

Make distance the subject

[tex]distance = speed * time[/tex]

Since distance is constant, then:

[tex]s_1 * t_1 = s_2 * t_2[/tex]

This gives:

[tex](23 + s_2) * 6 = s_2 * 9[/tex]

Open bracket

[tex]138 + 6s_2 = 9s_2[/tex]

Collect like terms

[tex]9s_2 - 6s_2 = 138[/tex]

[tex]3s_2 = 138[/tex]

Solve for s2

[tex]s_2 = 138/3[/tex]

[tex]s_2 = 46[/tex]

Recall that:

[tex]s_1 = 23 + s_2[/tex]

[tex]s_1 = 23 + 46[/tex]

[tex]s_1 = 69[/tex]

Answer:

S.A = 147.35 cm²

Step-by-step explanation:

Surface area of the triangular pyramid = base area + ½(perimeter of base*slant height)

Base area = ½*bh

b = 7 cm

h = 6.1 cm

Base area = ½*7*6.1 = 21.35 cm²

Perimeter of triangular base = 7 + 7 + 7 = 21 cm

slant height = 12 cm

Plug in the values into the equation

S.A = 21.35 + ½(21*12)

S.A = 21.35 + 126

S.A = 147.35 cm²

Answer:

A

Step-by-step explanation:

-3<-2

Answer:

9) a = 8, b = 4√2

10) x = 7√2, y = 7

11) x = 5√2, y = 5

12) a = 10, b = 5√2

Step-by-step explanation:

You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:

9)

a = 4√2 * √2

a = 8

Since the triangle is isosceles, the legs are the same length, so:

b = 4√2

10)

x = 7 * √2

x = 7√2

Since the triangle is isosceles, the legs are the same length, so:

y = 7

11)

x = 5 * √2

x = 5√2

Since the triangle is isosceles, the legs are the same length, so:

y = 5

12)

a = 5√2 * √2

a = 10

Since the triangle is isosceles, the legs are the same length, so:

b = 5√2