Mathematics High School

LEARNING TASK 3:

Directions: Given that b ∥ c with d as

transversal. Find the value of x in the

following.





1. ∠4 = 5x, ∠5 = 120°

2. ∠1 = 100°, ∠7 = 10x

3. ∠2 = 3x - 10, ∠6= x + 30

4. ∠4 = 3x + 10, ∠6= 2x + 20

5. ∠1 = 7x + 9, ∠5 = 5x + 31

Plssss I need this now​

Answers

Answer 1

Step-by-step explanation:

1. Angle 5 = 120 degree

Angle 5 = Angle 6 ( alternate exterior angles are equal )

Therfore, Angle 6 = 120 degree

Angle 6 = Angle 4 ( Vertically opposite angles are equal )

Therfore, Angle 4 = 120 degree

Angle 4 = 5x

120 = 5x

120/5 = x

40 = x

Therefore x = 40 degree.

2. Angle 1 = 100 degree

Angle 1 = Angle 7 ( vertically opposite angles are equal )

Therefore, Angle 7 = 100 degree

Angle 7 = 10x

100 = 10x

100/10 = x

10 = x

Therefore x = 10 degree

I want some more time for this question.

Related Questions

Is 4/10 and 8/20 proportional ?

Answers

Answer:

yes

Step-by-step explanation:

8/20 can be reduced to 4/10

Yes because 4/10 simplified is 2/5 and 8/20 is 2/5 simplified.

PLEASE CLICK ON THE IMAGE PLEASSSSE HELP MEEEE!!!​

Answers

Answer:

11. 5:6 and 12. 5 to 6

Step-by-step explanation:

in both questions it says to simplify the boys ratio so if you have to simplify they boys then you'll have to find the GCF (Greatest common factor) of both of the number 10 and 12. And the GCF of 10 is 5, and the GCF of 12 is 6 so its 5:6

Please answer

3x+5x-5x

Answers

Answer:

3x

Step-by-step explanation:

Combine Like Terms:

=3x+5x+−5x

=(3x+5x+−5x)

=3x

Hope it helps :)

Answer:

=3x

Step-by-step explanation:

cancel out 5x-5x, which leaves you with 3x.

i hope this helps :)

What is the value of X?

Answers

Answer:

23

Step-by-step explanation:

83+3x+90+x+95= 360

4x= 360-83-90-95

4x= 92

x= 23

this is geometry find x!

Answers

Answer:

8

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<T = (1/2)m(arc)SU

9x - 25 = 47

9x = 72

x = 8

Answer: x = 8

In Juan's coin bank there are nickels (n),
dimes (d), and quarters (q). The number of
quarters is one-quarter the number of dimes, and
the number of nickels is twice the number of
quarters. The total value of the coins is $6.00.
Find the number of each type of coin. [Show all
work.]

Answers

Answer:

Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

Step-by-step explanation:

Since in Juan's coin bank there are nickels (n), dimes (d), and quarters (q), and the number of quarters is one-quarter the number of dimes, and the number of nickels is twice the number of quarters, While the total value of the coins is $ 6.00, to find the number of each type of coin the following calculations must be performed:

Q = 1/4 D

N = 2Q = 1/2 D

D = D

20D + 10N + 5Q = X

20 x 0.10 + 10 x 0.05 + 5 x 0.25 = X

2 + 0.50 + 1.25 = X

3.75 = X

24D + 12N + 6Q = X

24 x 0.10 + 12 x 0.05 + 6 x 0.25 = X

2.40 + 0.60 + 1.50 = X

4.50 = X

32D + 16N + 8Q = X

32 x 0.10 + 16 x 0.05 + 8 x 0.25 = X

3.20 + 0.80 + 2 = X

6 = X

So, Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

Given a sphere with radius r, the formula 4pi r^2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area

Answers

Answer:

Step-by-step explanation:

That's B:  the surface area.

The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.

Halp plzzz i need help finding the angle

Answers

Answer: The answer to what is the measure of angle x is 48°.

Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.

48°+42°=90° and this is a right scalene triangle.

PLEASE HELP!!!!!!!!!!!!! 50 POINTS!!!!!!
Here are four expressions that have the value -12:
-14+(-14)
12−1
-214
-12
Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.

Answers

Answer:

only one has the value of -12

Step-by-step explanation:

like what

Question: Here are four expressions that have the value -12:

-14+(-14)

12−1

-214

-12

Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value -34.

Answer: That means reducing the expression to a numeric value, or its simplified form. ... Difference between algebraic expression and algebraic equation An algebraic expression is a ... SUBSTITUTION Any algebraic expression may have one or more variable. ... Take this one as an example Five times the sum of four and two.

What is the probability of spinning blue and flipping tails?

Answers

Answer:

The probability of flipping a coin and landing on tails is 1/2. If you flip the coin 100 times, approximately how many times could you expect to land on tails? You have three sticks. Each stick has one red side and one blue side.

Step-by-step explanation:

Free 100coins. (just giving back because this community is awesome)

Answers

Answer:

TYSM!! Have a awesome day

-

Step-by-step explanation:

Answer:

wow, thank you so much and I agree, this community is awesome, and you're one of the people who make it awesome.

Step-by-step explanation:

Identify the horizontal and vertical intercepts of the limacon represented by the equation r=4-6 sin theta.

Answers

Answer:

Vertical intercepts: (-2,pi/2) and (-10,pi/2)

Horizontal intercepts: (4,0) and (-4,0)

Step-by-step explanation:

I took the test and got it right.

The required horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).

What is the intercept in the equation?

In the equation intercept is the value of the linear function where either of the variables is zero.

To find the horizontal intercept(s) of the limacon, we need to set r equal to zero and solve for theta.

r = 4 - 6sin(Ф)

0 = 4 - 6sin(Ф)

6sin(Ф) = 4

sin(Ф) = 4/6

sin(Ф) = 2/3

We can use an inverse sine function to find the value of theta:

Ф= sin^-1(2/3)

Ф≈ 41.81° or 138.19°

These are the values of theta where the limacon crosses the x-axis (horizontal intercepts).

To find the vertical intercept(s), we need to set theta equal to zero or pi and solve for r.

When Ф= 0:

r = 4 - 6sin(0)

r = 4

So the limacon intercepts the y-axis at (0, 4).

When Ф= pi:

r = 4 - 6sin(pi)

r = 10

So the limacon intercepts the y-axis at (0, -10).

Therefore, the horizontal intercepts are at approximately (41.81°, 0) and (138.19°, 0), and the vertical intercepts are at (0, 4) and (0, -10).

Learn more about intercept here:
https://brainly.com/question/3605446

#SPJ3

a. A person's height is positively associated with their arm span (the distance between the
ends of the fingertips as arms are held out on each side of the body). One of the tallest
men in history had an arm span measuring 7 inches more than his height. The combined
total of his arm span and height was 221 inches. How tall was this man?

Answers

Answer:

I didn't Sanderstead sorry

A minivan can take up to 8 people for a trip. Use P to represent the number of people.

Answers

Answer:

p ≤ 8

Step-by-step explanation:

Please I need help ASAP ;-;

Image is above

What is the area of the shaded region?

_____ Square units

Answers

Answer:

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons.

Step-by-step explanation:

15 - 1/2 x 2 equals 14, but i dont know the steps

Answers

remember PEMDAS - parentheses, exponents, multiply, divide, add, subtract

because multiply come before subtract, your first step would be 1/2 x 2 = 1

next, you subtract -> 15 - 1 = 14

14 is your answer

You start at (5, -3). You move down 2 units. Where do you end?​

Answers

Answer:

(5, -5)

Step-by-step explanation:

when you move up or down you only change the y axis

Help plz I will give brainliest

Answers

Answer:

i think that it is C

Step-by-step explanation:

if im incorrect i apologize

Tom knows that in his school 10 out of every 80 students are left-handed. There are 384 students in toms school. How many students in toms school are left handed?
Answers:
A) 30
B)40
C)48
D)64

Answers

answer:

C (48)

explanation:

firstly, divide 384 by 80. This gives you 4.8. So, since 10 out of every 80 students are left handed we have to times 4.8 by 10 which gives you 48.

What is 0.25 of twelve inches
Pls help ASAP

Answers

Answer:3

Step-by-step explanation:

12/4 = 3

1/4=3/?? please help fast​

Answers

Answer:

3/12

Step-by-step explanation:

multiply numerator and denominator by 3

hope it helped!!!

What is the value of this expression?
3
25 - 9(2)

Answers

The correct answer is 7
Multiply parentheses first the you have regular subtraction and 25-18= 7

It’s due in 2 minutes

Answers

Answer:

m a t h w a y

Step-by-step explanation:

PLEASE HELP ASAPPP I only need B and D

Answers

domain is x values and range is y values.

PLZ!!!!!!
Find the first three iterates of the function f(z) = z2 + c with c = -1, and an initial value of
z0 = 0 - i.

Answers

Answer:

b

Step-by-step explanation:

just guessing  \o/

If I have three cups of flour to four cups of sugar what is the unit rate?

Answers

0.75 cups of flour to 1 cup of sugar

I’m not fully positive though

The number of households without a computer at home in 2009 was closest to A)801000 B)1153000 C)1737000 D)3433000 E)4017000

Answers

Answer:

B) 1153000

Step-by-step explanation:

Given

See attachment

Required

Number of households without computer in 2009

From the attachment, we have:

[tex]n=5170000[/tex] --- survey

[tex]p = 22.3\%[/tex] --- proportion without computer

So, the actual number is:

[tex]Number = p * n[/tex]

[tex]Number = 22.3\% * 5170000[/tex]

[tex]Number = 1152910[/tex]

[tex]Number \approx 1153000[/tex]

Hence: (B) is correct

Answer the question in the picture 50 points.

Answers

Answer:

i think c

Step-by-step explanation:

f(x)=-2(x-4)^2+8 find the vertex

Answers

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

What is the vertex form of a quadratic equation?

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

#SPJ2

is the Square root of 18 divided by 3 a rational or irrational number? explain using full sentences

Answers

Answer:

irrational

Step-by-step explanation:

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9}[/tex] · [tex]\sqrt{2}[/tex] which is the same as 3[tex]\sqrt{2}[/tex]

3[tex]\sqrt{2}[/tex] divided by 3 equals [tex]\sqrt{2}[/tex], which is irrational

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