Tom bought a soft drink for 3 dollars and 8 candy bars. He spent a total of 19 dollars. How much did each candy bar cost?

Answer:

m∠1 = 108°

m∠2 = 72°

Step-by-step explanation:

By applying triangle sum theorem in the given triangle,

Sum of all interior angles = 180°

38° + 70° + m∠2 = 180°

m∠2 = 180° - 108°

        = 72°

Since, angles 1 and 2 are the linear angles,

Therefore, m∠1 + m∠2 = 180°

m∠1 + 72° = 180°

m∠1 = 180° - 72°

m∠1 = 108°

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

Answer:

HI

Step-by-step explanation:

hihihihihihihihihihihi

Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

Answer:

2142 inches^2

Step-by-step explanation:

parallelogram's area: base * height

so, 34*63 = 2142

Answer:

[tex]x=44[/tex]

m∠1=118°

m∠2=62°

Step-by-step explanation:

Part A: They are supplementary angles, so

[tex]2x+30+62=180[/tex]

Simplify like terms,

[tex]2x+92=180[/tex]

We subtract 92,

[tex]2x=88[/tex]

Divide by 2,

[tex]x=44[/tex]

Part B:

[tex]m[/tex]∠[tex]1=2x+30[/tex] because ∠2 is vertical to 2x+30.

Plug in 44 for x,

[tex]m[/tex]∠[tex]1=2(44)+30[/tex]

Simplify,

[tex]m[/tex]∠[tex]1=118[/tex]

[tex]m[/tex]∠[tex]2=62[/tex]° because it is a vertical angle to the 62° angle.

Answer:

Solution given:

2x+30+62=180°[linear pair]

2x=180-92°

x=88/2=44°

Now,

<1=2x+30=2×44+30=118°[vertically opposite angle]

<2=62°[vertically opposite angle]

[vertically opposite angle]

Answer:a or d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The cylinder on the right, its volume = 9 bi * 10 = 90 bi

The volume of the left cylinder = 9 bi * 10 = 90 bi

They are equal because the radius and length of 2 cylinders are equal

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

Answer:

8 x 10 = 80

80 divided by 2 = 40

40 x 9 1/2 = 380

Answer:

58

Step-by-step explanation:

1 isn't a prime number. 2 is the smallest, which is in 58

Answer:

ZWXY

Step-by-step explanation:

The other shape is the same but you want to name it the same way that they named the first one

Answer:

Part A: option C

Part B: option B

Step-by-step explanation:

Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

(  22 because you cannot buy half of one so you have to round it)

21.95 - 22

Answer:

First don't forget the [ tex ] [ /tex ] in order to execute the latex code.

Step-by-step explanation:

[tex] \sin A=\frac{5}{\sqrt{89}}sinA= 89 [/tex]

[tex] \cos AcosA [/tex] = [tex] \cos [/tex]

The exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is 8√(89)/89

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Given that:

[tex]\sin A=\dfrac{5}{\sqrt{89}}[/tex]

So, from this, we are given the ratio of perpendicular and hypotenuse from the perspective of angle A.

There must be existing a right triangle with same measure of angle A such that:

Perpendicular's length = P = 5 units

and Hypotenuse' length = H = [tex]\sqrt{89}[/tex] units.

Using Pythagoras theorem, we get:

Base' length = B as:

[tex]P^2 + B^2 = H^2\\B = \sqrt{H^2 - P^2}\\\\B = \sqrt{(\sqrt{89})^2 - 5^2}\\\\B = \sqrt{89-25} = \sqrt{64} = 8[/tex]

(took positive root as B is representing length, a non-negative quantity).

Thus, Base is of 8 units length.

Thus, we get:

[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\cos(A) = \dfrac{B}{H} = \dfrac{8}{\sqrt{89}}[/tex]

Rationalizing, we get:

[tex]\cos(A) = \dfrac{8}{\sqrt{89}} =\dfrac{8}{\sqrt{89}} \times \dfrac{\sqrt{89}}{\sqrt{89}} \\\\\cos(A) = \dfrac{8\sqrt{89}}{89}[/tex]

Thus, the exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is [tex]\dfrac{8\sqrt{89}}{89}[/tex]

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Answer: d

Step-by-step explanation:

Answer: x = -3/4

Step-by-step explanation:

Remember:

[tex]\sqrt{a}=b\\\\a=b^2[/tex]

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

[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]

Answer:

14.4 miles

Step-by-step explanation: u do 1.38x5 to get 6.5 then u add 0.7 to 6.5 to get 7.2 then you times 7.2 by 2 to get 14.4

Answer:

angle bcf = 113 degrees :)

Step-by-step explanation:

angle bca and angle dcf equal 134 in total

360-134= 226

226/2=113

Answer:

113

Step-by-step explanation:

Remark

<BCA and <BCF are on the same straight line. That means when added, they equal 180 degrees.

Givens

<BCA = 67

Two Parallel lines

1 Transversal

Solution

<BCA + < BCF = 180

67 + <BCF  = 180

<BCF = 180 - 67

<BCF = 113

Answer:

it is C.

Step-by-step explanation:

just trust me.

Answer:

she is right it's C

Step-by-step explanation:

Have a good Day! :)

9514 1404 393

Answer:

  A.  105°

Step-by-step explanation:

The external angle at Z is the supplement of the internal angle at W.

  Z = 180° -75° = 105°

  ∠XZY = 105°

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

Answer:

I'm not sure if I'm correct but I think it's F=5

Step-by-step explanation:

6 times 5 = 30

Answer:

Step-by-step explanation:

In ecosystems, matter and energy are transferred from one form to another. Matter refers to all of the living and nonliving things in that environment. Nutrients and living matter are passed from producers to consumers, then broken down by decomposers. Decomposers break down dead plant and animal matter.