find x,y,and z if AB||CD​

Find X,y,and Z If AB||CD

Answers

Answer 1

Step-by-step explanation:

Hey there!

75° + 28° + angle KFG = 180°( being linear pair)

103° + angle KFG = 180°

angle KFG = 180° - 103°

Therefore, angle KFG= 77°

Now;

angle KFG + 28° +22° + X= 180°{ co-interior angle}

77°+28° + 22°+x= 180°

X = 180°-127°

Therefore, X = 53°

y == X+22°= 75° { being alternate angle}

angle KFG+x+z = 180° {sum of interior angle of triangle}

77°+53° + z = 180°

z = 180° - 130°

z= 50°

Therefore, X= 53°, y = 75° and z= 50°.

Hope it helps...


Related Questions

Is this a function or not a function? (Picture)

Answers

It is not a function
I don’t think is a function

Please help ❤️ What percent of 24 is 15?

Answers

Answer:

62.5

Step-by-step explanation:

There ya gooo :)

Answer:

62.5%

Here You go

Step-by-step explanation:

Finding Decimal Products Which statements are true for the product of 0.2 and 0.2? Check all that apply. The product will be smaller than both the factors. ✓ There will be a zero in the tenths place, There will be a zero in the hundredths place. The answer is 0.4. ✓ The answer is 0.04.​

Answers

Answer:

0 The product will be smaller than both the factors.

0 There will be a zero in the tenths place.

0 The answer is 0.04.

What is (8p - 2)(6p + 2)

Answers

answer:

48p² + 4p - 4

solution:

8p × 6p +8p × 2 - 2 × 6p - 2 × 2

48p² + 8p x 2 - 2 ×6p - 2 × 2

48p² + 16p - 12p - 4

48p² + 4p - 4

The required algebraic product is 48[tex]p^{2}[/tex] + 4p - 4.

Given the two binomial (8p - 2)(6p + 2).

To multiply two binomials, take the first term of the first binomial and multiply with the entire second binomial and positive or negative as per given in the first binomial ,take the second term of the first binomial and multiply with the entire second binomial.

Let a, b, c and d be any four variables. Consider (a - b)(c + d) gives

a(c + d) - (c + d).

That implies, (8p - 2)(6p + 2) = 8p(6p + 2) - 2(6p + 2)

Multiply by removing the brackets gives,

(8p - 2)(6p + 2) = 48[tex]p^{2}[/tex] + 16p - 12p - 4

Combining like terms and algebraic sum gives,

(8p - 2)(6p + 2) = 48[tex]p^{2}[/tex] + 4p - 4.

Hence, the required algebraic product is 48[tex]p^{2}[/tex] + 4p - 4.

Learn more about binomials, click here:

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The area of a rectangle is x²-4x-21
Write down an expression for the width and the length of
the rectangle.​

Answers

Answer:

Step-by-step explanation:

Area of rectangle= Length x Width

and the given Area is a quadratic expression

A=[tex]x^{2} -4x-21[/tex]

We use the factorization method so,

we need 2 numbers that when multiplied we get -21 and when we add/subtract we get -4 so,

A=[tex]x^{2} -7x+3x-21[/tex]

now we simplify,

A=[tex]x(x-7)+3(x-7)[/tex]

A=[tex](x-7)(x+3)[/tex]

This looks familiar doesn't it, when we write the formula for the area of rectangle its

A= Length x Width and the equation here shows that

A= [tex](x-7)(x+3)[/tex]

So the expression for the length is x-7 and

the expression for the width is x+3 i think u have missed maybe some information on the question as such that the perimeter might be missing because length could be either x-7 or even x+3 same goes for width maybe someone can correct me if im wrong

multiply express your anwser in simplest form

Answers

Answer:

1/6

Step-by-step explanation:

9: 9,18,27,36,45,54,63,72,81,90

10: 10,20,30,40,50,60,70,80,90,100

Since, 90 is the LCM of 9 and 10 that turns into your denominater then your equation turns into this...

5/90 x 3/90

The denomineter stays the same so you get 90 then 5 x 3 equals 15 so you get 15 and in total that gives you 15/90. Divide the top and bottom by the greatest number that will divide both numbers exactly which gives you 1/6

HOPE THIS HELPED :D

Simplify. 863x14y9−−−−−−√

Answers

Answer: 1

Step-by-step explanation: 863x14ysqrt9= 3 simplified is 1

Joseph and Wendy were catching tadpoles. At first Wendy caught nine times three more than Joseph caught. Joseph was upset and released half of Wendy ’s tadpoles, and then six times as many as Joseph caught swam away. After all of this, Wendy only had three tadpoles left. How many tadpoles did Joseph catch?

Answers

Answer:

7

Step-by-step explanation:

Step 1: translate the given word problem into solvable algebraic equation.

Let "t" represent the number of tadpoles Joseph caught.

"Wendy caught nine times three more than Joseph caught" can be expressed as 9(t + 3)

Number of Wendy's tadpole = [tex] 9(t + 3) [/tex]

Given that half of Wendy's tadpole and also 6 times Joseph's tadpoles swarm away leaving Wendy with only 3, the following equation can be written:

[tex] \frac{9(t + 3)}{2} - 6t = 3 [/tex]

Step 2: solve for t using the equation created.

[tex] \frac{9(t + 3)}{2} - 6t = 3 [/tex]

Add 6t to both sides

[tex] \frac{9(t + 3)}{2} - 6t + 6t = 3 + 6t [/tex]

[tex] \frac{9(t + 3)}{2} = 3 + 6t [/tex]

Multiply both sides by 2

[tex] \frac{9(t + 3)}{2}*2 = (3 + 6t)*2 [/tex]

[tex] 9(t + 3) = 2(3 + 6t) [/tex]

[tex] 9t + 27 = 6 + 12t [/tex]

Collect like terms

[tex] 9t - 12t = 6 - 27 [/tex]

[tex] -3t = -21 [/tex]

Divide both sides by -3

[tex] t = 7 [/tex]

Joseph caught 7 tadpoles

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0

Answers

Answer:

Step-by-step explanation:

What is the difference between 65 and -25?

Answers

Answer:

40?

Step-by-step explanation:

it literally tells you?

Answer:

90 because 65 plus 25 is 90.

Step-by-step explanation:

65 plus 25 is 90 and

Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?

Answers

Answer:

- 1/2

Step-by-step explanation:

Just took the test

The value of cot (b) using trigonometry is -1/2 when tan b = -2.

Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).

In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.

Given:

tan(b) = -2

The cotangent (cot) of an angle is the reciprocal of the tangent:

cot(b) = 1 / tan(b)

Now, substituting the given value of tan(b):

cot(b) = 1 / (-2)

cot(b) = -1/2

So, the value of cot(b) is -1/2.

Learn more about Trigonometry here:

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Supposed y varies directly as x and y =21 when x=3

Answers

Hey men Is the number 7

9x6=9x(4+ )
=( X4)+(9x )
= +
=

Answers

idkStep-by-step explanation:

Use the definition:
f'(x)=[tex]\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
to find f'(x) for:
f(x)=[tex]\frac{1}{\sqrt{x}}[/tex]+x
I need the WORK, not the answer. Thanks!

Answers

Using the given definition, for [tex]f(x)=\frac1{\sqrt x}+x[/tex], we have

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\left(\frac1{\sqrt{x+h}}+x+h\right)-\left(\frac1{\sqrt x}+x\right)}h[/tex]

Right away, we see x and -x in the numerator, so we can drop those terms.

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}+h-\frac1{\sqrt x}}h[/tex]

Remember that limits distribute over sums, i.e.

[tex]\displaystyle\lim_{x\to c}(f(x)+g(x))=\lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]

so we can separate the h from everything else in the numerator:

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+\lim_{h\to0}\frac hh[/tex]

Since h ≠ 0, we have [tex]\frac hh=1[/tex], so the second limit is simply 1.

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+1[/tex]

For the remaining limit, focus on the numerator for now. Combine the fractions in the numerator:

[tex]\dfrac1{\sqrt{x+h}}-\dfrac1{\sqrt x}=\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}[/tex]

Recall the difference of squares identity,

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Let [tex]a=\sqrt x[/tex] and [tex]b=\sqrt{x+h}[/tex]. Multiply the numerator and denominator by [tex](a+b)[/tex], so that the numerator can be condensed using the identity above.

[tex]\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}\cdot\dfrac{\sqrt x+\sqrt{x+h}}{\sqrt x+\sqrt{x+h}}[/tex]

[tex]=\dfrac{(\sqrt x)^2-(\sqrt{x+h})^2}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

[tex]=\dfrac{x-(x+h)}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

[tex]=-\dfrac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

Back to the limit: all this rewriting tells us that

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{-\frac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}}h+1[/tex]

Again, the h's cancel, and we can pull out the factor of -1 from the numerator and simplify the fraction:

[tex]f'(x)=\displaystyle-\lim_{h\to0}\frac1{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}+1[/tex]

The remaining expression is continuous at h = 0, so we can evaluate the limit by substituting directly:

[tex]f'(x)=-\dfrac1{\sqrt x\sqrt{x+0}(\sqrt x+\sqrt{x+0})}+1[/tex]

[tex]f'(x)=-\dfrac1{2x\sqrt x}+1[/tex]

or, if we write [tex]\sqrt x=x^{1/2}[/tex], we get

[tex]f'(x)=-\dfrac12x^{-3/2}+1[/tex]

Why is near impossible to draw a rhombus on Geoboard and easy to draw a square?
Thank you in advance :)

Answers

Answer:  Think about diagonal sides and horizontal bases.

Step-by-step explanation:  "Think outside of the box." as they say.

See the screenshot attached.

Which graph shows the line y = - 3x + 1

Answers

Answer:

i need a picture

Step-by-step explanation:

Please help me guys!!!

Answers

The answe is D bc 20-10 both have an x and 5 doesn’t so ur subtracting like it said and then dividing 5 since it doesn’t have the same symbol

A jar that contains quarters and dimes is worth $7.15. If there are a total of 40 coins,
how many of each type of coin is there?

Answers

Answer:

21 quarters and 19 dimes

Step-by-step explanation:

Create a system of equations where q is the number of quarters and d is the number of dimes.

0.25q + 0.1d = 7.15

q + d = 40

Solve by elimination by multiplying the bottom equation by -0.25

0.25q + 0.1d = 7.15

-0.25q - 0.25d = -10

Add them together and solve for d:

-0.15d = -2.85

d = 19

Then, plug in 19 as d into the second equation to solve for q:

q + d = 40

q + 19 = 40

q = 21

So, there are 21 quarters and 19 dimes

Answer:

21 Quarters, 19 Dimes.

Step-by-step explanation:

21 x .25 = 5.25

19 x .10 = 1.90

5.25 + 1.90 = 7.15

What is the expanded form of (a + b)^2?

Answers

Answer:

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

Answer:

(a + b) × (a + b)

Step-by-step explanation:

(a + b)²

(a + b) × (a + b)

Kyle is drawing a rectangle on the coordinate plane. Which coordinate pair could be Point M, the missing vertex of the rectangle?

Answers

Answer:

Step-by-step explanation:

5,2

Odd number between 3 and 19

Answers

Answer:

11, there both 8 away so its right in ze middle :D

Step-by-step explanation:

If a 25 kg car Accelerates at a speed of 100ms what will the force of the car be

Answers

Answer:

force = 100 m/s/25 s = 4 m/s^2

4x + 10 + 3x = 40 - 3x
O A. x = 3
B. X=
x = 1
15
2
25
O C. X=
2
O D. x = 5

Answers

Answer:

a. 3

Step-by-step explanation:

Answer:

(A)  X = 3

Step-by-step explanation:

-_-

Is perpendicular to the line y = 2x + 1
and through the point (-1,5)

Answers

Answer:

-2x+3

Step-by-step explanation:

Using y=mx+b

To make the line perpendicular, you just need to make the slope (m=2) negative. To make it go through (-1, 5), you just need to adjust the b value to raise the graph to a point where it will pass through the point.

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

Answers

Answer:

x= 6, -7

Step-by-step explanation:

some helps plssss i need help

Answers

あかさたなはまやら、ゎらやまたなかあさまらゎゎら。やまはたさやあわあわいをあらさほあわま、しは新たはさたさあらあ、マヌカらあをまたなたはタラタラやはまん

Answer:

Yess

Step-by-step explanation:

If you multiply all the numbers together you get 39690000. And the square root of that number is 6300. So it is a perfect square. If you did 6300² = 39690000.

PLZ HELP WILL GIVE BRAINLIST

A. A number less than 2
B. A number greater than 1
C. An odd number
D. A multiple of 2

Answers

Answer:

Option A

Step-by-step explanation:

The answer is option A "A number less than 2." That is because we check off each of the following given options. It won't be option C because they're 4 odd numbers a equal amount of multiplies of two (option D) which means they both have a equal (4 out of 8) chance. It won't be option B because they're 7 out of 8 numbers that are greater then on which means you have a greater chance of getting a number greater then one but the question is asking for the most unlikely.....therefore the answer is option A because you have a 1 out of 8 chance of getting a number less then two.

Hope this helps.

Which of the following is the value or PQ

Answers

Answer:

B. 61

Step-by-step explanation:

Given:

∆PQR ≅ ∆PQS

PQ = 2x + 41

QS = 7x - 24

QR = 3x + 16

Required:

Numerical value of PQ

SOLUTION:

First, create an equation to find the value of x as follows:

Since both triangles are congruent, therefore:

QS = QR

7x - 24 = 3x + 16 (Substitution)

Collect like terms

7x - 3x = 24 + 16

4x = 40

Divide both sides by 4

4x/4 = 40/4

x = 10

Find PQ by plugging x = 10 into PQ = 2x + 41

PQ = 2(10) + 41

PQ = 20 + 41

PQ = 61

12x ÷ 4y (if x = -8 and y = 3)​

Answers

Answer:

- 8

Step-by-step explanation:

Step 1:

12x ÷ 4y         Equation

Step 2:

12 ( - 8 ) ÷ 4 ( 3 )     Input x and y

Step 3:

- 96 ÷ 12      Multiply

Answer:

- 8      Divide

Hope This Helps :)

An expression is shown below if this expression is equivalent to 60, what must be the value of a? A.) 3 B.) 4 C.) 9 D.)16

Answers

Answer:

Option (A)

Step-by-step explanation:

Given expression is,

[tex]5\sqrt{48a}=60[/tex]

Squaring on both the sides of the equation,

[tex](5\sqrt{48a})^2=(60)^2[/tex]

25(48a) = 3600

1200a = 3600

By dividing the equation by 1200,

a = [tex]\frac{3600}{1200}[/tex]

a = 3

Therefore, Option (A) will be the answer.

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