Mathematics High School

In the given figure, m ǁ n, then the value of y is:
(a) 70°
(b) 35°
(c) 60°
(d) 40°

In The Given Figure, M N, Then The Value Of Y Is:(a) 70(b) 35(c) 60(d) 40

Answers

Answer 1

Answer:

(b) 35°

Step-by-step explanation:

x + 60° = 180° ( interior angles )

[tex]x + {60}^{o} = {180}^{o} \\ x = {180}^{o} - {60}^{o} \\ x = {120}^{o} \\ [/tex]

x = z ( opposite angles )

z = 120°

y + 25° + 120° = 180°

(The sum of all interior angles of any triangle is equal to 180°)

[tex]y + {25}^{o} + {120}^{o} = {180}^{o} \\ y + {145}^{o} = {180}^{o} \\ y = {180}^{o} - {145}^{o} \\ y = {35}^{o} \\ [/tex]

In The Given Figure, M N, Then The Value Of Y Is:(a) 70(b) 35(c) 60(d) 40
Answer 2

The value of y in the given figure is (b) 35°

Since m||n, hence:

a + 60 = 180 (sum of consecutive interior angles formed by two parallel lines are supplementary)

a + 60 = 180

a = 120°

a = b (vertical opposite angles are congruent to each other)

120 = b

b = 120°

y + 25 + b = 180 (sum of angles in a triangle)

y + 25 + 120 = 180

y + 145 = 180

y = 35°

Hence the value of y is (b) 35°

Find out more at: https://brainly.com/question/17581080

In The Given Figure, M N, Then The Value Of Y Is:(a) 70(b) 35(c) 60(d) 40

Related Questions

A stunt car drives off a 150m cliff at a speed of 45mph
. How long does it take the stunt car to reach the ground?

Answers

Answer:

5.53 seconds.

Step-by-step explanation:

The equation of motion is

d = 4.9t^2 so

150 = .9 t^2

t^2 = 150 / 4.9

t^2 = 30.612

t = 5.53 seconds.

Roland hires a mechanic to do some work. He pays y dollars per hour for a 3-hour job plus $48 in replacement parts. The total cost comes to $200. Please round to the nearest cent.

Create an equation that can be used to find the amount, in dollars, the mechanic charges per hour.

Answers

So, the variable here is y: the amount of dollars per hour of work. We already know how many hours (3), the additional costs (48), and the total cost (200). What we need to do is put this into an equation. So we have number of hours times hourly rate plus additional costs:
3y + 48 = 200

In order to solve for y, this is what you have to do:
3y + 48 = 200 (subtract 48 from both sides)
3y = 152 (divide by 3 on both sides)
y = 50.666666
round to the nearest cent and you’d get a final answer of:
50.67

B) Determine the quadratic function whose zeros are -2 and 5/2​

Answers

So the factors of the quadratic function must be (x+2) and (2x-5) foiling them gives us 2x^2-x-10

Writer the equation of the porabola in vertex form vertex0,3 point 1,-5

Answers

Answer:

the desired equation is y = -8x^2 + 3

Step-by-step explanation:

The vertex form of the equation of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex and (x, y) is another point on the graph of the parabola.

Substitute 1 for x, -5 for y, 0 for h and 3 for k.  We obtain:

-5 = a(1 - 0)^2 + 3, or

-5 = a(1) + 3, or -5 = a + 3.  Then a must be -5 -3, or a = -8

and the desired equation is y = -8x^2 + 3

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Answers

Answer:

its the first one

Step-by-step explanation:

Josh was earning $12 an hour and got a 4% raise. The expression 12 x .04 , will show how much his new hourly rate is calculated.

Answers

Answer:

$12.48

Step-by-step explanation:

$12 x (1+4%) = $12 x 1.04 = $12.48

find x^12 coefficient in the expression of (3x -2/x )^10​

Answers

Step-by-step explanation:

(3x-2/x)^10

(r+1)th term = 10Cr (3x)^10-r (-2/x)^r

= 10Cr (3)^10-r (-2)^r (x)^10-2r

Let 10-2r = 12

- 2r = 2

r= - 1

The coefficient of x^12

= 10C-1 (3)^11 (-2)^-1

= 10C11 (3)^12 (-1/2)

= (1/11) (3)^12 (-1/2)

= - 1/22 × (3)^12

g = a - c , solve for a

Answers

Answer:

a = c + g

Step-by-step explanation:

g = a - c

~Add c to both sides

g + c = a

~Reorder

a = c + g

Best of luck!

What sequence of 5 numbers have a mode of 7, mean of 9 and a median of 8?

Answers

There are 4 possible answers and they are:

{7, 7, 8, 8, 15}{7, 7, 8, 9, 14}{7, 7, 8, 10, 13}{7, 7, 8, 11, 12}

This is assuming only integers are allowed.

====================================================

Explanation:

The sequence starts off as {A,B,C,D,E}

The median is 8, which is the direct center (slot C).

So we can update the sequence to {A,B,8,D,E}

The mode is 7. The mode is the value that shows up the most frequent compared to the other values. This tells us that the mode must show up at least two times. In this case, it must show up exactly twice because of the A,B values which are smaller than the median 8 in slot C.

So we know that A = 7 and B = 7.

The sequence updates to {7,7,8,D,E} where D and E are not 7.

If either D and/or E were 7, then the list would be {7,7,7,8,x} or {7,7,7,7,8}; however, this would lead to the median not being 8. So this line of reasoning allows us to rule out neither D nor E being 7.

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

Let's add up those five values, and divide by n = 5, to compute the mean

mean = (A+B+C+D+E)/5

mean = (7+7+8+D+E)/5

mean = (22+D+E)/5

Set this equal to the given mean of 9 and isolate the D+E expression

(22+D+E)/5 = 9

22+D+E = 5*9

22+D+E = 45

D+E = 45-22

D+E = 23

Whatever D and E are, they add to 23.

Assuming D and E are integers, there are a few ways to have D+E result in 23. The further restriction is that neither D nor E can be smaller than 8. Refer to the last section.

Here are all of the integer solutions to D+E = 23 where D and E are 8 or larger.

D = 8 and E = 15D = 9 and E = 14D = 10 and E = 13D = 11 and E = 12D = 12 and E = 11D = 13 and E = 10D = 14 and E = 9D = 15 and E = 8

There are 8 items in that list above. We can rule out the bottom half of that list because it repeats the top half (just in reverse order). Also, note how E is smaller than D in those items. We'll assume that D < E.

So we can shorten that list to

D = 8 and E = 15D = 9 and E = 14D = 10 and E = 13D = 11 and E = 12

This leads to the four possible answers of:

{7, 7, 8, 8, 15}{7, 7, 8, 9, 14}{7, 7, 8, 10, 13}{7, 7, 8, 11, 12}

This is assuming that only integers are allowed. If non-whole values are considered, then we'd have infinitely many possible answers. This is because there are infinitely many solutions to D+E = 23 where D and E aren't restricted to the integer values only.

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Answers

Answer:

Angle A = Angle T

Angle B = Angle U

Angle C = Angle V

Step-by-step explanation:

The order that the angles are listed above shows you which angle in the first triangle corresponds to which angle in the other triangle.  It tells you triangle ABC = triangle TUV.  Since A and T are both listed first, they are equivalent.  Angles B and U are both listed second, so they correspond to each other.  And angles C and V are listed last, so they correspond to each other.

Marcus builds 2,744 kites for a 14-day summer kite festival.

He plans to give away about the same number of kites each day.

He gives away 492 kites the first two days. Did Marcus stick to his plan?

Use estimation to explain. Show your work.

Solution

Answers

Answer:

please use the solution

Step-by-step explanation:

solution: 492÷2=246

2744÷14=196

246≥196

so thus Marcus doesn't stick to his plan because he didn't have the number of kites.

No, Marcus did not stick to his plan.

What is Unit rate?

A unit rate means a rate for one of something.

Given that, Marcus builds 2,744 kites for a 14-day summer kite festival.

He plans to give away about the same number of kites each day.

He gives away 492 kites the first two days,

According to his plan, he should sell = 2744/14 = 196

But he sold = 492/2 = 246 each day

Hence, he sold more kites than his planning, so he did not stick to his plan.

For more references on unit rates, click;

https://brainly.com/question/11258929

#SPJ5

Can anyone help me please?

Answers

Answer:

a) 4

b) 30 students

c) 8 mark

hope it helpz u

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Answer:

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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

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Answer

Step-by-step explanation:

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Answers

Step-by-step explanation:

[tex] = - 2 \frac{3}{4} \times 1 \frac{2}{3} [/tex]

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4 1/4 x 2 9/10 x 2 1/2=

Answers

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Answer:

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Step-by-step explanation:

what is the value of W?

Answers

Solution: According to mid point theorem, the line segment joining the mid-points of any two sides of a triangle, is parallel to the third side and half of it.Here, UQ = QR

So, Q is the mid-point of UR.

Similarly, UT = TS

So, T is the mid-point of US.

So, QT is parallel to RS and half of it.Given, QT = w and RS = w + 37Therefore, QT = 1/2 RS

or, w = 1/2(w + 37)

or, w = w/2 + 37/2

or, w - w/2 = 37/2

or, w/2 = 37/2

or, w = 37/2 × 2

or, w = 37.

Answer:

The value of w is 37.

Hope it helps.

Do comment if you have any query.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: 1.2

Step-by-step explanation:

x : 15 = 8 : 100

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x = 1.2

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Answers

Answer:

x = 1.36

Step-by-step explanation:

5(x - 2 2/5) = -5.2

5(x - 12/5 ) = - 5.2

(x - 12/5) = -5.2 / 5

x - 12/5 = - 1..04

x = -1.04 + 12/5

x = (- 5.20 +12) /5

x = 6.80 / 5

x = 1.36

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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