Find the missing angle measure of each triangle.

Final answer:

To solve the system of equations y = 4x and 3x + 2y = 55, you can substitute 4x for y in the second equation, simplify to find x = 5, and then calculate y = 20.

Explanation:

To solve for x and y using the equations y = 4x and 3x + 2y = 55, you can use substitution or elimination. Let's use substitution since we already have y expressed in terms of x.

Substitute 4x for y in the second equation: 3x + 2(4x) = 55.

Simplify and solve for x: 3x + 8x = 55 becomes 11x = 55, so x = 5.

Substitute x back into the first equation to find y: y = 4(5), so y = 20.

Therefore, the solution to the system of equations is x = 5 and y = 20.

Answer:

The length of the third side could be anywhere between [tex]7\; \rm in[/tex] and [tex]17\; \rm in[/tex], excluding the two endpoints.

Step-by-step explanation:

Let [tex]x[/tex] represent the length (in inches) of the third side.

In a triangle, the sum of the lengths of any two sides should be greater than the length of the third side. The lengths of the three sides of this triangle are:

The sum of the lengths of the first two sides is [tex]5 + 12 = 17\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the third side: [tex]x\; \rm in[/tex]. That gives the first inequality:

Similarly, the sum of the lengths of the first and the third sides is [tex](5 + x)\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the second side: [tex]12\; \rm in[/tex]. That gives the second inequality:

The sum of the lengths of the second and the third sides is [tex](12 + x)\; \rm in[/tex]. This sum should be greater than (not equal to) the length of the first side: [tex]5\; \rm in[/tex]. That gives the third inequality:

Solve the three inequalities for the range of [tex]x[/tex], the length of the third side:

[tex]\displaystyle \left\lbrace\begin{aligned}& 5 + 12 > x \\ & 5 + x > 12 \\ & 12 + x > 5\end{aligned}\right.[/tex].

The first inequality simplifies to [tex]x < 17[/tex]. The second inequalities gives [tex]x > 7[/tex], while the third gives [tex]x > -7[/tex].

Refer to the diagram attached. [tex]7 < x < 17[/tex] is the region that satisfies all three inequalities. Therefore, the length of the third side should be between [tex]7[/tex] and [tex]17[/tex], exclusive.

Answer:

1) x+6 2)y-4 3)36

Step-by-step explanation:

(x+6)² + (y-4)² = 36

Answer:

First Drop down: X+6

Second: Y-4

Third: 36

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We can set up a proportion because the "expected" amount should correspond to the sample amount.

[tex]\frac{24}{80} =\frac{x}{720}[/tex], where x is the number of dinner entrees that are fish

Cross-multiply:

80 * x = 24 * 720

80x = 17280

Divide both sides by 80:

x = 17280/80 = 216

The answer is D.

Hope this helps!

Answer:

D. 216

Step-by-step explanation:

Entrees : fish

80 : 24

720 : X

X/720 = 24/80

X = 720 × 24/80

X = 216

Answer:

1. 21 represents the cost of manufacturing one handband.

3. The initial start up cost is $15000.

5. The company spends $57000 to manufacture 2000 handbands.

Step-by-step explanation:

We are given the cost function for manufacturing 'h' amount of handbands and it is provided that there was initial start up costs involved.

Now, as the cost function is given by, C(h) = 21h + 15000.

We can see that the initial start up cost is $15000.

As, 'h' is the number of handbands being made. So, 21h in C(h) is the cost of manufacturing 'h' handbands.

Therefore, 21 is the cost of manufacturing one handband.

Since, C(h) = 21h + 15000.

Substituting h = 2000, we get,

C(2000) = 21×2000 + 15000.

i.e. C(2000) = 42000 + 15000.

i.e. C(2000) = 57000.

The company spends $57000 to manufacture 2000 handbands.

Since, we are provided with only cost function, we can not talk about the profit.

Hence, option 1, 3 and 5 are correct.

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Answer:

1. 21 represents the cost of manufacturing one handband.

3. The initial start up cost is $15000.

5. The company spends $57000 to manufacture 2000 handbands.

Step-by-step explanation:

Answer: 54

Step-by-step explanation:

An arc that lies outside of a central angle is called a Major arc.

Option 'C' is correct.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, We know that;

An arc that lies outside of a central angle is called a major arc.

Since arc of a circle is a continuous portion of a circle.

And Central angle is the angle formed at the centre and it is an acute angle so, an arc that lies outside of a central angle will be a major arc only.

Because major arc is greater than half of the circle so, it can be formed outside of a central angle only.

Hence, An arc that lies outside of a central angle is called a Major arc.

Option 'B' is correct.

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Answer:

15+4r

Step-by-step explanation:

15+7r+r(r-3)-r^2

Distribute

15+7r+r^2-3r-r^2

Combine like terms

15+7r-3r+r^2-r^2

15 +4r

Answer:

15 + 4r

Step-by-step explanation:

15+7r+r(r-3)-r²

15 + 7r + r² - 3r - r²

15 + 4r

Answer:2

Step-by-step explanation:

Answer:

16 cm

Step-by-step explanation:

Area of a triangle=(b×h)/2

Height=2 (area)/base

H=2(88)/11

H=176/11

H=16 cm

Answer:b>-1 and 66/67

Step-by-step explanation:

First you add like terms. So 96+43. Your problem should now look like this -67+6=139. Now subtract 139 from 6 and you will be left with this -67b<133. Now divide 133 by -67 and you get -1.985074627. Or -1 66/67 as a fraction. You have to flip the sign because you divided by a negative number. You answer should look like this b>-1 and 66/67.

Answer:

25/4

Step-by-step explanation:

Answer:

180

^

120 Green, 60 Red

^                     ^

Bruised Green = 30, Not Bruised Green = 90/Bruised Red = 12, Not Bruised Red = 48

Step-by-step explanation:

There is a beginning amount of 180 which goes in the first bubble. Then, you divide by 3 because 1/3 is red. 180 divided by 3 is 60, so there are 60 red apples. And 180 minus 60 is 120 and that's the amount of green. Then, 1/5 of the red apples are bruised so 60 divided by 5 is 12, so 12 are bruised and sincce 60 - 12 = 48, 48 are not. And then 1/4 of the green are bruised so 120 divided by 4 is 30, which means 30 are bruised. Lastly 120 minus 30 = 90, so 90 are not bruised that are green.

Answer:

The girls and boys heights are equal and none are shorter or taller.

You get this answer from identifying the numbers, seeing if there is any number that is larger or shorter than 40-60.

Hope this helped!

Answer:

The answer is D

Step-by-step explanation:

Crown me?

Answer:

D

Step-by-step explanation:

x^2+18x-19=0

(x+18)(x-1)

x=-18

x=1

Answer:

1/25

Step-by-step explanation:

The probability is 1/25 because 10 red marbles plus 15 green marbles = 25 marbles in total. Therefore, the probability  of choosing a red marble without looking is 1/25.

Answer:

The probability that Yuki will pull out a red marble is [tex]\( \frac{2}{5} \)[/tex].

Explanation:

To find the probability of selecting a red marble, you divide the number of red marbles by the total number of marbles in the bag.

Given:

- Number of red marbles = 10

- Number of green marbles = 15

Total number of marbles = Number of red marbles + Number of green marbles

Total number of marbles = 10 + 15 = 25

Now, to find the probability of selecting a red marble:

[tex]\[ \text{Probability} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} \][/tex]

[tex]\[ \text{Probability} = \frac{10}{25} \][/tex]

[tex]\[ \text{Probability} = \frac{2}{5} \][/tex]

Answer:

The volume of the cube is D * D * D or D³ cm³

Step-by-step explanation:

Answer:

(-4,0) (0,3)

(3-0)/(0+4)= 3/4

y - 0 = 3/4(x + 4)

y = 3/4x + 3

answer is a

Step-by-step explanation:

Answer:

It¨s A

Step-by-step explanation:

you first have to find the slope by doing rise over run,I checked the table and labeled the values for the x-axis and y-axis,the found the y-intercept which is when x is always zero and y is any random number so one of the points on the table show the x is 0 and y is 3 so that means the y-intercept is 3 also written as (0,3).

Answer: 9.5493

Step-by-step explanation: circumference = 2pi*r

Answer:

9.55 simplified

Answer:

simplification of the equation is:

14x-21

Answer:

Radius- 9cm

Diameter-18 cm

Step-by-step explanation:

The radius is ALWAYS half of the diameter.

Answer:

Radius:9cm

Diameter :18 cm

Step-by-step explanation:

Answer:

where are the choices?

Step-by-step explanation:

Answer:

V≈461.81in³ That is the answer!

V = pi*r^2*h

V = pi*(3.5)^2*12

V = pi*12.25*12

V = pi*147

V = 147pi  .... exact volume in terms of pi

V = 461.8141200777 is the approximate volume (use a calculator here)

The units for the volume are in cubic inches

Side note: If you use pi = 3.14, then you'll get an approximate volume of 147*pi = 147*3.14 = 461.58 which is a bit off from the other value we got earlier due to the fact pi = 3.14 is not as accurate as using the calculator's internal value of pi.

Answer:

sqrt(64)

Step-by-step explanation:

The square root of 64 = 8  and 8 is a rational number

Answer:

C. √64

Step-by-step explanation:

The square root of 64 is rational. It is rational because the square root of 64 is 8. 8 is a rational number.

To find the total views a music video got over the first 5 days with a 20% daily increase, calculate the views for each day using a geometric sequence formula and sum them, resulting in approximately 13023 views.

To calculate the total views a music video got over the course of the first 5 days with a 20% daily increase starting at 1750 views, we use the geometric sequence formula V = V0 × (1 + r)n, where V0 is the initial number of views (1750), r is the daily increase rate (0.20), and n is the day number. The total views (TV) over 5 days is calculated by summing the individual daily views.

Day 1: 1750 views

Day 2: 1750 × (1 + 0.20) = 2100 views

Day 3: 1750 × (1 + 0.20)2 = 2520 views

Day 4: 1750 × (1 + 0.20)3 = 3024 views

Day 5: 1750 × (1 + 0.20)4 = 3628.8 views, rounded to 3629 views

The total views over the five days is the sum of daily views: 1750 + 2100 + 2520 + 3024 + 3629 = 13023 views.

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

[tex]2x - 5 = -7[/tex]

Rearrange terms

[tex]2x=-2[/tex]

Solve for x

[tex]x=-1[/tex]

Answer:A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

Step-by-step explanation:

Answer:

There can be more than one solution to a system of equations. A system of linear equations will have one point of intersection, or one solution. To graph a system of equations that are written in standard form, you must rewrite the equations in slope -intercept form.

Step-by-step explanation:

Answer:

the asymptote would be zero because the graph is approaching zero, but never actually touches it.

Answer:

D)-5x = -10

Step-by-step explanation:

The equation results from adding the equations in this system is -5x = -10.

Option D is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

-8x + 8y = 8 _____(1)

3x - 8y = -18 _____(2)

Now,

Adding (1) and (2) we get,

-8x + 8y + 3x - 8y = 8 - 18

-5x = -10

Thus,

-5x = -10 is the equation.

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Answer:

I keep getting 141.421... so rounded it would be 141.4

Step-by-step explanation:

The length of the interior diagonal of the box is approximately 141.4 cm.

Suppose the base of the prism has length = l units, and width = w units.

Suppose that the height of the prism is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that prism.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

Height= 100cm

Width=80cm

Length=60cm

Now,

Using the Pythagorean theorem, we can find the length of the interior diagonal as:

diagonal = sqrt(l^2 + w^2 + h^2)

diagonal = sqrt(100^2 + 80^2 + 60^2)

diagonal = sqrt(10000 + 6400 + 3600)

diagonal = sqrt(20000)

diagonal ≈ 141.4

Therefore, the length of the diagonal of prism will be 141.4

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