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]
Work out m and c for the line: y = 9 − x
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)?
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
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?
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?
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
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.
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
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?
Answer:
60
Step-by-step explanation:
hexagon is 6 sided shape. 10 * 6=60
what is the area of this title ?
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
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.
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
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?
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:
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 )
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
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 !!
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!!!
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
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
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, ...
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?
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
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 $600 in her checking account she wants to spend part of this money on a computer she wants to have at least 250 left in her checking account after buying the computer that in quantity shownCan be used to find t The amount of money in dollars the Alexandra can spend on her computer find the value of t
Answer:
350$
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
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)
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 = ycm²Consider, 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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Plz answer this question and I will mark you as brainliest
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
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.
Answer:
I'm not 100% sure but I'm pretty sure its 'D'
Answer:
the answer is b
Step-by-step explanation: