Given: ABCD ∥gram BK ⊥ AD , AB = 6, AK = 3 Find: m∠A, m∠B, m∠C, m∠D

Given: ABCD Gram BK AD , AB = 6, AK = 3 Find: MA, MB, MC, MD

Answers

Answer 1

Answer:

m∠A 60°, m∠B= 120°, m∠C =60°, m∠D=120°

Step-by-step explanation:

[tex] In\: ||^{gm} \: ABCD, \: BK\perp AD... (given) \\

\therefore \angle BKA = 90\degree \\

In\:\triangle BKA, \\\\

\cos \angle A = \frac{AK}{AB}\\\\

\cos \angle A = \frac{3}{6}\\\\

\cos \angle A = \frac{1}{2}\\\\

\cos \angle A = \cos 60\degree.. (\because \cos 60\degree = \frac{1}{2}) \\\\

\huge \red {\boxed {\therefore \angle A = 60\degree}} \\[/tex]

Since, adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \angle A + \angle B = 180\degree \\

\therefore 60\degree + \angle B = 180\degree \\

\therefore \angle B = 180\degree - 60\degree\\

\huge \purple {\boxed {\therefore \angle B = 120\degree}} \\[/tex]

Since, opposite angles of a parallelogram are congruent.

[tex] \therefore \angle C = \angle A

\\

\huge \red{\boxed {\therefore \angle C = 60\degree}} \\\\

\therefore \angle D = \angle B

\\

\huge \purple {\boxed {\therefore \angle D = 120\degree}} \\[/tex]


Related Questions

Work out m and c for the line: y = 9 − x

Answers

Answer:

m = -1

c = 9

Step-by-step explanation:

m is slope, which is the coefficient of x

c is the y-int, which is the constant

What is f(x) + f(x) + f(x)?

Answers

Answer:

3fx

Step-by-step explanation:

f(x)+f(x)+f(x)

remove parenthesis: (a)=a

add similar elements: fx+fx+fx

=3fx

Answer: for edge

3f(x)

3x2

12

le
The graph shows two ratios from the table.
ty
9
Celery (x)
2
4
6
8
7
6
Carrots (y)
3
6
?
Carrots
5
4
3
Predict how many carrots you will need for the recipe if
you use 6 stalks of celery.
2
carrots
1
2 3
4 5 6 7 8 9 10
Celery

Answers

Answer:

9 carrots

Explanation:

There are different ways to solve these.

The first one is identify the pattern of the graph. You can see that the slope has 3 rises up and 2 runs to the right. So follow that point and you can see that the next coordinate is (6,9).

The second way is identify the pattern of the table. As you can see, the pattern goes like this: [tex]\frac{2}{3} ,\frac{4}{6} ,\frac{6}{y}[/tex]

2/3 = 2/3

4/6 = 2/3

6/y = 2/3

Solve the last one algebraically (cross-multiply first):

6/y = 2/3

2y = 18

y = 18 ÷ 2

y = 9

6/9 = 2/3 (correct)

Answer:

9 carrots

Step-by-step

What is the value of x in the diagram below?

Answers

Answer: C

Step-by-step explanation:

IT is dividing by 6

The value of x in the given diagram of two similar triangle is  9 units.

Let us consider the name of two triangles be ABC and PQR.

Such that,

In triangle ABC,

AB = 12 , BC = 54 , m∠BAC = 90° and marked angle  is ∠ABC .

In triangle PQR,

PQ = 2 , QR = x, m∠QPR = 90° and marked angle  is ∠PQR .

In triangle ABC and PQR we have,

m∠BAC = 90° = m∠QPR

m∠ABC = m∠PQR  (given )

By AA corollary,

Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.

Corresponding sides of the similar triangle are in proportion.

AB / PQ = BC / QR

⇒ 12 / 2 = 54 / x

⇒ 12x  = 54 × 2

⇒ x = ( 54 × 2 ) / 12

⇒ x = 9

Therefore, the value of x in the given triangle is equal to 9 units.

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In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?

Answers

Answer:

112°

Step-by-step explanation:

∠OLM= 2x, ∠PON= x

∠LOK= x

∠OKL= 180-124= 56

∠OLM= ∠OKL+∠LOK

x+56°= 2x

x= 56°

2x= 112°

Work out m and c for the line: y = 8 x

Answers

Answer:

m = 8 and c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

HELP ME ASAP! PLS!!!!
Which triangle’s unknown side length measures StartRoot 53 EndRoot units?

(A)A right triangle with side length of 6 and hypotenuse of StartRoot 91 EndRoot.
(B)A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10.
(C)A right triangle with side length of StartRoot 19 EndRoot and hypotenuse of StartRoot 34 EndRoot.
(D)A right triangle with side length StartRoot 73 EndRoot and hypotenuse 20.

Answers

Answer:

(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10

Step-by-step explanation:

I just took the quiz on edge

Answer:

B

Step-by-step explanation:

PLZZ ANSWER QUICK TIMED a submarine is positioned –1525 feet in relation to sea level. The submarine needs to be –1865 feet below sea level in 20 minutes. Which best represents the rate at which the submarine needs to travel? –169.5 ft/min –17 ft/min 17 ft/min 169.5 ft/min

Answers

Answer:

17ft/min

Step-by-step explanation:

1865-1525 =  340

multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min

if the perimeter of regular hexagon is 10 cm, what is the radius of the circle curcumscribing the polygon?​

Answers

Answer:

60

Step-by-step explanation:

hexagon is 6 sided shape. 10 * 6=60

what is the area of this title ?

Answers

Answer:

12 in^2

Step-by-step explanation:

A = l*w

   = 2in * 6 in

  = 12 in^2

Answer:

Area = 12 in.²

Step-by-step explanation:

Area = length × width

Where w = 2 and L = 6

So,

Area = 2 × 6

Area = 12 in.²

Write -1/19, 7/4, -4/7 from least to greatest

Answers

Answer:

-4/7, -1/19, 7/4

Step-by-step explanation:

The fractions converted into decimals would be -0.05, 1.75, -0.57

Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.

Answers

Answer:

30% percent profit

Step-by-step explanation:

100 pence in a pound.

1000 grams in a kilogram.

She bought 5000g of sweets.

She pays 10×100=1000 pence.

She put them into 5000÷250=20 bags.

She sells the bags for 65 pence each.

She sells them all for 20×65=1300 pence.

She gets a profit of 300 pence or 3 pounds.

She gets a percent profit of 30%.

4x + 16 less than or equal to 18

Answers

4x+16 = 18
4x = 18-16
x =2/4
x = 1/2

Answer:

x≤1/2

Step-by-step explanation:

4x+16 ≤18

Subtract 16 from each side

4x+16-16 ≤18-16

4x≤2

Divide by 4

4x/4 ≤2/4

x≤1/2

Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?

Answers

Answer:

[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]

and it is the special factor product that leads to a difference of squares

Step-by-step explanation:

The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]

is a product of the form:

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

which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex]  are the factors of the difference of squares [tex]a^2-b^2[/tex].

In our case, the product:

[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]

Answer:

B

Step-by-step explanation:

Read the following statement: x + 6 = 6 + x. This statement demonstrates:

Answers

Answer:

See below.

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). This is because even though the order is switched, the result will remain unchanged and they are equal to each other.

Answer:

Commutative Property of addition

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). means that no. After the order of your calculation, the end result will always be the same.

This is only applicable to addition and multiplication.

Hope this helps

12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )

Answers

Answer:

(88a+80)(8a+8)

88a(8a+8)+80(8a+8)

704a²+704a+640a+640

704a²+1344a+640

(40y+zy)(4y+zy)

40y(4y+zy)+zy(4y+zy)

160y²+40zy²+4zy²+z²y²

160y²+44zy²+z²y²

Step-by-step explanation:

i hope this will help you

find the area of the triangle that has a base of 5 inches in a height of 3 3/4 inches

Answers

Answer: 75/8= 9 3/8

Step-by-step explanation: Area = 1/2 X b X h

1/2 X 5 X 15/4 =

75/8=9 3/8

PLEASE HELP AS SOON AS POSSIBLE !!

Answers

Answer:

D

Step-by-step explanation:

(160x243)^1/5=8.27

D also equivalates to 8.27

Answer:

so the answer for that is D.

Step-by-step explanation:

160 X 243= 38880

38880^.2 (or 1/5) = 8.27

D. 5 carrot thing 5= 1.379..x 6= 8.27

PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!

Answers

Answer:

answer B. -5

Step-by-step explanation:

hello

fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5

hope this helps

Answer: It is B. -5

What is the y intercept of y=-3x-2? Step by step explanation please help me

Answers

Answer:

Step-by-step explanation:

The slope is 3 and the y-intercept is 2 or (0, 2)

Answer:

The y-intercept of the equation is -2.

Step-by-step explanation:

This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.

What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP

Answers

Answer:

y -2= 1/2(x+7)

Step-by-step explanation:

The point slope form of a line is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y - 2 = 1/2(x - -7)

y -2= 1/2(x+7)

Answer:

D)  y - 2 = 1/2(x - (-7))

Step-by-step explanation:

I just took the quiz on edge

Find the 96th term of the arithmetic sequence -16, -28, -40, ...

Answers

Answer:

1124.

Step-by-step explanation:

The common difference (d)   is -16 - (-28) = 12,  ( also -28 - (-40) = 12).

The nth term of an A.S.  is a1 + d(n - 1)  where a1 = first term, d=common difference.

so the 96th term of the given A.S. is:

-16 + 12(96 - 1)

= -16 + 12*95

= 1124.

-1156Answer:

Step-by-step explanation:

What is the length of segment GH?

Answers

Answer:

4√5

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Coordinates given:

H(8, 1)

G(0, -3)

d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5

Answer:

StartRoot 80 EndRoot

80 square root is the answer

Step-by-step explanation:

|GH|² = (8 - 0)² + (1 - (-3))²

|GH|² = 64 + 16

|GH|² = 80

GH = sqrt(80)

pls mark as brainliest

Haley’s work evaluating (-2)8 squared is shown below.




Which statement best describe Haley’s first error?

A.She used the wrong number as a repeated factor and should have

B.She used the wrong number as a repeated factor and should have evaluated

C.She misinterpreted the exponential form and should have multiplied –2 and 8.

D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge

Answers

Answer:

D

Step-by-step explanation:

she made a sign error when multiplying and should have had 256 as an answer

Answer:

the answer is D

Step-by-step explanation:

I'm taking the test now

Alejandra has $600 in her checking account she wants to spend part of this money on a computer she wants to have at least 250 left in her checking account after buying the computer that in quantity shownCan be used to find t The amount of money in dollars the Alexandra can spend on her computer find the value of t

Answers

Answer:

350$

Step-by-step explanation:

600 = total in checking account.

250 = left in checking account after transaction.

600-250 = 350

meaning the most she can spend on a computer is 350$.

Answer:

t ≤ 350

Step-by-step explanation:

Which inequality represents all possible values of t ?

According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!

What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5

Answers

Answer:

Option A

Step-by-step explanation:

Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;

[tex]3x - 5 = 4 + 8x[/tex]

where x = " the number "

[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]

If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4 cm, CD = 9 cm The area of quadrilateral BCDE is x cm2 The area of triangle ABE is y cm2 Find an expression for y in terms of x . Give your answer as simply as possible. (3 marks)

Answers

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

An expression for y in terms of x is :

y = 16x/65

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines . EB and DC are parallel The area of quadrilateral BCDE = xcm² The area of triangle ABE = ycm²

Consider, the image attached:

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Thus,

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE =

[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)

On substituting the given values:

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

In terms of y:

16x = 65y  

y = 16x/65

Therefore,  an expression for y in terms of x:  y = 16x/65

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Answers

Answer: 3/8

Step-by-step explanation:

When you subtract fractions, you want them to have a common denominator.

[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]

This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.

[tex]\frac{9}{24} =\frac{3}{8}[/tex]

If x varies inversely as p and x=2 when p=4 find the formula connecting them​

Answers

Answer:

x = [tex]\frac{p}{2}[/tex]

Step-by-step explanation:

x ∝ p

x = kp -------(1)

Where k is the constant of proportionality.

Now, x = 2 when p = 4

Putting in the above formula

2 = k(4)

Dividing both sides by 4

k = [tex]\frac{2}{4}[/tex]

=> k = [tex]\frac{1}{2}[/tex]

Putting k in (1)

x = [tex]\frac{p}{2}[/tex]

Now this is the required equation connecting both.

help asap. is this b or d. im not really sure so i put d. ​

Answers

Answer:

I'm not 100% sure but I'm pretty sure its 'D'

Answer:

the answer is b

Step-by-step explanation:

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