The measure of two supplementary angles are (6x+28)° and (7x+87)°. Find the value of x.

Hi!

These two angles are alternate interior angles, so they are congruent. Thus:

∠A = ∠B

6x + 5 = 4x + 45

Solve for x:

2x + 5 = 45

2x = 40

x = 20

Solve for ∠A by substituting in this value:

∠A = 6(20) + 5 = 125°

Answer:

1

Step-by-step explanation:

February is the only month that has 28 days

Answer:

[tex]12 \: months \: have \: 28 \: days \\ thank \: you[/tex]

Answer:

5/4

Step-by-step explanation:

slope = rise/run

slope=y2-y1/x2-x1

slope=9-(-1)/15-7=10/8=5/4

So the answer is 5/4.

Answer:

5/ 4

Step-by-step explanation:

slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.

therefore,

[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]

as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.

[tex]{ \bf{ \underbrace{Given}}}[/tex]:

Diameter of the circle "[tex]d[/tex]" = [tex]36[/tex]

Value of [tex]π[/tex] = [tex]3[/tex]

[tex]{ \bf{ \underbrace{To\:find}}}[/tex]:

The circumference "[tex]C[/tex]" of the circle.

[tex]{ \bf{ \underbrace{Solution }}}[/tex]:

[tex]\sf\pink{The\:circumference \:"C"\:of\:the\:circle\:is\:108.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]

[tex] = 3 \times 36[/tex]

[tex] = 108[/tex]

Therefore, the circumference of the circle is [tex]108[/tex].

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

[tex]\Longrightarrow: \boxed{\sf{108}}[/tex]

Step-by-step explanation:

Apply the formula for the circle's circumference.

[tex]\text{Circumference circle formula:}[/tex]

[tex]\Longrightarrow: \sf{C=\pi d}[/tex]

[tex]\Longrightarrow:\sf{C=?}\\\\\Longrightarrow:\sf{\pi =3}\\\\\Longrightarrow:\sf{d=36}[/tex]

Multiply.

[tex]\sf{3*36=\boxed{\sf{108}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer: 40 seconds per worksheet

Step-by-step explanation:

From the information given in the question, we are informed that Robert took 8 minutes to complete his 12 worksheets.

Based on this, his unit rate of completing worksheets will be given as:

= 8 minutes / 12

= 480 seconds / 12

= 40 seconds per worksheet

Note 1 minute = 60 seconds

8 minutes = 8 × 60 = 480 seconds

the arc length is calculated by the formula                                                                    [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex]   then   [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex]   or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2  С=2πr:2=πr =8π=25,12

Answer:

The first option

Step-by-step explanation:

[tex]4x + 5y - 34 = 0[/tex]

Answer:

a

Step-by-step explanation:

ok

Answer:

D. 8/9

Step-by-step explanation:

9514 1404 393

Answer:

  72°

Step-by-step explanation:

In a properly constructed pie chart, the proportion of the circle devoted to each section is the same as the proportion of that section to the the whole.

  (6 swim days)/(30 days) = (swim pie angle)/(360°)

Multiply by 360° to find ...

  swim pie angle = (360°)(6/30) = 72°

72° of the circle should represent swimming.

Answer:

The answer:

The choose (C) –3

Answer:

x > 4

Step-by-step explanation:

4x + 3 > 19

4x + 3 - 3 > 19 - 3

4x > 16

4x/4 > 16/4

x > 4

Hope this helps.

[tex]4x + 3 > 19 \\ = > 4x > 19 - 3 \\ = > 4x > 16 \\ = > x > \frac{16}{4} \\ = > x > 4[/tex]

Answer:

x > 4

Hope you could understand.

If you have any query, feel free to ask.

Answer:

pls i don't know

Answer:

-1.540

Step-by-step explanation:

H0 : μ = 18

H0 : μ ≠ 18

The sample size, n = 48

Sample mean, xbar = 17

Sample standard deviation, s = 4.5

α = 0.05

The test statistic :

(xbar - μ) ÷ (s/√(n))

(17 - 18) ÷ (4.5 / √48))

-1 ÷ 0.6495190

= -1.5396

= -1.540 (3 decimal places ).

Answer:

p = 11           q = 3

Step-by-step explanation:

      2p - 3q = 13

-      p - 3q = 2

p = 11

p - 3q = 2​

(11) - 3q = 2

-3q = -9

q = 3

Answer:

p=11 q=3

Step-by-step explanation:

subtract second from first

2p-3q=13

-p+3q=-2

p=11

plug in

11-3q=2

-3q=-9

q=3

Answer:

[tex] {a}^{b} [/tex]

[tex] {6}^{7} [/tex]

[tex]6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6[/tex]

[tex]279936[/tex]

hope this will help you more

Answer:

15

Step-by-step explanation:

Use the distributive property

4x+4=64, then subtract

4x=60, then divide

x=15

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]4(x + 1) = 64 \\ 4x + 4 = 64 \\ 4x = 64 - 4 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]

=> The answer is 15.

Answer:

-60x

Step-by-step explanation:

We simply open up the bracket and collect similar terms

So we have;

4(-15x-2) + 8 as:

4(-15x) -2(4) + 8

-60x -8 + 8

= -60x

Answer: 60x

Step-by-step explanation: -60x-8+8=-60x

Answer:

4/5

SOH-CAH-TOA

sin = opposite / hypotenuse

Hypotenuse = sqrt(18^2 + 24^2)  = 30

sin 24/30 = 4/5

Step-by-step explanation:

Answer:

I find this question

and I suppose your first question is should be 12 ( I'm not sure)

Answer:

The first one is: 12

The second one is: Subtract 1.1j from both sides.

The third one is: i'm not sure about that one

The fourth one is: 1/2

Step-by-step explanation:

Answer:

Options A ,  D , E

Step-by-step explanation:

Triangle has angles 27° and 45°

The third angle = 180 - 27 - 45 = 108°

Therefore, the angles of ABC are 27° , 45° , 108°

=> ABC is Scalene triangle .

Option A :

Triangle DEF :

       3x + 5x + 12x = 180°

              20x = 180°

               x = 9

Therefore , the angles of DEF = 27° , 45° , 108°

Satisfies

Option B:

Triangle GHI is Isosceles triangle with one angle 108°

But ABC is scalene , therefore not similar.

Does not satisfy.

Option C :

Triangle JKL with one of the angle = 72°

But none of the angles of ABC is equal to 72° .

Therefore, not similar.

Does not satisfy.

Option D :

Triangle MNO have angles 45°  and  108°.

Sum of angles of triangles = 180°

So the third angle of MNO = 27°

Therefore , MNO is similar to ABC.

Satisfy.

Option E:

Angles of triangle PQR are 45° , x° , 4x°

Lets find all the angles .

45 + x + 4x = 180°

5x = 180 - 45

5x = 135

x = 27

Therefore, the angles of PQR = 45° , 27° , 108°

Hence similar to triangle ABC.

Satisfy

Option F :

Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°

Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°

                            => 35x = 180 - 5

                            => 35x = 175

                            => x = 5

Therefore, the angles are

5x + 3 = 5( 5) + 3 = 25 + 3 = 28°

9x =  9 ( 5 ) = 45°

21x + 2 = 21(5) + 2 = 105 + 2  = 107°

The angles are not congruent to the angles of Triangle ABC

does not satisfy.

Answer:

there would be many diffrent answers

Step-by-step explanation:

provide the full question, i can deduct that there are many ice cream flavors.

Answer:

Step-by-step explanation:

1) Least common denominator of 4 and 2 is 4

To eliminate the fraction, each term should be multiplied by 4

ANS:option c

2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years

0.05 +0.1y = 0.12+0.06y

Ans : Option c

3) 4b +6 = 2 - b + 4

Add 'b' to both sides

4b + b + 6 = 2 + 4

5b + 6 = 6

Subtract 6 from both sides

5b = 6 - 6

5b = 0

 b = 0

Ans : Option b

4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100

Ans: option d

5) y +6 = -3y + 26

Add 3y to both the sides

y + 6 + 3y =  26

y + 3y + 6 = 26

4y + 6 = 26

Subtract 6 from both sides

4y = 26-6

4y = 20

Divide bothe sides by 4

y = 20/4

y = 5

Ans: option c

6) '2x' is  subtracted from both side of the equation.

Ans: option a - subtraction property of equality

Answer:

Step-by-step explanation:

[tex](5^3)^5=5^{15}[/tex] which is absolutely huge. In scientific notation it is

3.051757813 × 10¹⁰

Answer:

(5×5×5)=125

125^5=30,517,578,125

final answer=30,517,578,125

Answer: The answer in the blank is 2/5.

Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.

-1 (4 + x) = 6

=> 4 + x = 6/-1

=> 4 + x = -6

=> x = -6 -4

=> x = -10

Answer:

should be A & D they are multiplying the x by a number less than 1 (between -1 & 1)

Step-by-step explanation:

Answer:

y = -1/5x - 6

Step-by-step explanation:

7y - 35x = 21             7y = 35x + 21           y = 5x + 3

y = -1/5x + b

-8 = -1/5(10) + b

-8 = -2 + b

-6 = b

Answer:

fractions larger than 14 and one-half

decimals larger than 14 and one-half

whole numbers larger than 14 and one-half

Step-by-step explanation:

Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.

Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5

This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:

fractions larger than 14 and one-half

decimals larger than 14 and one-half

whole numbers larger than 14 and one-half