Find the missing side x

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:

1. B   2. B   3. A   4. A   5. A   6.  B

Step-by-step explanation:

[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.

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Answer:

-15+10x

Step-by-step explanation:

All you have to do is simplify.

-5(3-2x)

-5(3)+-5(-2x)

-15+10x

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Answer:

- 1 5/24 cm

Step-by-step explanation:

We'll have to get the fractions to a common denominator. the least common denominator for 3 and 80 is 240.

So - 1 1/3 = - 1 80/240 = 320/240

21/80 = 63/240

-11/80 = -33/240

-------------------------------------

-320/240 + 63/240 - 33/240 = -290/240 = - 1 50/240 = -1 5/24 cm

The total change in the water level is [tex]-\frac{29}{24}[/tex]

'A fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'

According to the given problem,

Change in first month =  [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{21}{80}[/tex] + [tex](-\frac{11}{80})[/tex]

                                    =   [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex]  + [tex]\frac{10}{80}[/tex]

                                    =   [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{1}{8}[/tex]

                                    = [tex]\frac{1}{8} - \frac{4}{3}[/tex]

                                    = [tex]\frac{3 - 32}{24}[/tex]

                                    = [tex]-\frac{29}{24}[/tex]

Hence, we can conclude, the change in the water level is  [tex]-\frac{29}{24}[/tex]

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Answer

160

Step-by-step explanation:

Answer:

A=180

Step-by-step explanation:

Base = 20

Height = 9

A = bh

A = 20 x 9

A = 180

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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:

Ans option B --- A,B are rectangles

Step-by-step explanation:

Answer:

x=180-35

x = 145,,,,,,,

Answer:

145°

Step-by-step explanation:

180 + x+ 35=360

x=360 - 215

x=145

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:

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:

Soap cup

Answer:

8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

hmm i dont know this is a pretty hard  1

Answer:

$8.22

Step-by-step explanation:

Items purchased :

Banana = 3 pounds

Price per pound of banana = $0.69

Cost of 3 pounds of banana = (3 * 0.69) = $2.07

Apple = 5 pounds

Price per pound of apple = $1.23

Cost of 5 pounds of apple = (5 * 1.23) = $6.15

Total cost :

$(2.07 + 6.15) = $8.22

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: fx + gx

 f(x) =x^2 -13x + 36

g(x) = x - 9

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:

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

Answer:

A Variable is a symbol for a number we don't know yet

Its called a constant

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:

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:

d

Step-by-step explanation:

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:

the Pythagorean theorem states:  a^2 + b^2 = c^2  

1) in this case a=18 and b1=25

18^2 + 25^2 = c1^2  

324 + 625 = c1^2

949 = c1^2

√949 = c1

cca. 30.8 = c1

2) in this case a=18 and b' = b2 - b1 = 40 - 25 = 15

in the picture im attaching i highlighted the triangles we are working with, and there you can clearly see that b' (the horizontal line at the bottom of the red tr.) is the difference between the lines b2 and b1

now you can use the same technique as in the first case, and the final answer will be cca. 23.4 = c2

3) in this case a=18 and b'' = b4 - b3 = 75 - 55 = 20

same thing as number 2, final answer cca. 26.9 = c3

Answer:

Its the second one because

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