Answers
Answer: D
Step-by-step explanation:
it shows each points and that they are equal
Related Questions
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 = 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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When x^3 + 2x^2 - 7x + a is divided by (x-2) the remainder is 4. Find the value of a. Please help
Answers
Answer:
a = - 8
Step-by-step explanation:
A polynomial divided by factor (x - h) has a remainder given by f(h)
Here the divisor is (x - 2), thus f(2) gives the remainder, that is
2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder
8 + 8 - 14 + a = 4, that is
12 + a = 4 ( subtract 12 from both sides )
a = - 8
This recipe makes 5 portions of fajitas. Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 50 g of spice mix and 16 tortillas. How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe:
Serves 5
400 g
chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
?g chicken
? g peppers
? g onion
? g spice mix tortillas
Answers
Answer:
Chicken = 500 g
Peppers = 1 kg
Onions = 10 g
Spice mix = 10 g
Tortillas = 14
Step-by-step explanation:
5 × 3 = 15
What the recipe indicates she needs
400 × 3 = 1200
600 × 3 = 1800
70 × 3 = 210
20 × 3 = 60
10 × 3 = 30
Subtract what she needs from what she has
1200 - 700 = 500 g
1800 - 800 = 1000 g
210 - 200 = 10 g
60 - 50 = 10 g
30 - 16 = 14 tortillas
Answer:
qhdlqywylvly
Step-by-step explanation:hqiufqwbuif
When solving, you took the square root of both
sides of the equation. Consider this step when
completing the following statements.
The roots are imaginary because of the
1) negative radicand.
2) non perfect square radicand
3) need to identify + and - roots of the radicand
Answers
Answer:
Step-by-step explanation:
Negative Radicand
The roots of the equation are imaginary because of negative radicand.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
According to the given question.
We have to take square root both sides of the equation.
Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.
Hence, the roots of the equation are imaginary because of negative radicand.
Thus, option 1 is correct.
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Solve for the missing side of the triangle. 9.03 11.98 18.78 24.92
Answers
Answer:
11.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 53 = x/15
15 sin 53 = x
11.97953265 = x
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:
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.
Iff the hight of 1000 students are normally distributed with the mean of 68.5 inches and standard deviation of 2.7 inches how many of these students would you axpect to have hight? . Between 67.5 and 71.0 inches exclusive? . Greater then or equal to 74.0 inches?
Answers
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 68.5
σ = 2.7
the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as
P(67.5 < x < 71.0)
For x > 67.5,
z = (67.5 - 68.5)/2.7 = - 0.37
Looking at the normal distribution table, the probability corresponding to the z score is 0.36
For x < 71.0
z = (71.0 - 68.5)/2.7 = 0.93
Looking at the normal distribution table, the probability corresponding to the z score is 0.82
Therefore,
P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46
The number of students whose height is between 67.5 and 71.0 inches is
0.46 × 1000 = 460 students
The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)
P(x ≥ 74) = 1 - P(x < 74)
For x < 74,
z = (74 - 68.5)/2.7 = 2.04
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
P(x ≥ 74) = 1 - 0.98 = 0.02
The number of students whose height are greater than or equal to 74.0 inches is
0.02 × 1000 = 20 students
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
Can I have help plz ASAP
Answers
Answer:
A: 4
B: -2
Step-by-step explanation:
calculate dy/dx:
A: 1 to the right and 4 up: gradient is 4/1 = 4
B: 2 to the right and 4 down: gradient is 4/-2 = -2
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
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
Need help with this didn’t understand it
Answers
Answer:
Ok, the solution to the first one. See below.
Step-by-step explanation:
[tex]1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2[/tex]
See attachment below.
Best Regards!
4x + 16 less than or equal to 18
Answers
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
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:
Plz answer this question and I will mark you as brainliest
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]
what are the exact values of a and b?
Answers
The exact value of a and b is 5 and 5√3 respectively. Thus option D) is correct
From triangle ABC
We have AB = 10 ; And angle A = 30°
Trigonometry is the branch of mathematics that deal with study of triangles.
Now,
cos30= AC/AB
√3/2=b/10
b=5√3
Sin30 = BC/AB
1/2 = a/10
a = 5
Thus, the required value is a = 5, b = 5√3
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Answer:
its the last option
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
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
If f(x) = 2x, then f -1(x) =
0-2x
O 12x
OX-2
Answers
Answer:
What am I supposed to do
Step-by-step explanation:
f(x)=2x
f-1(x)=2x*-1=-2x
MY LAST QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
Given the diagram below, what statement can you NOT make?
A) m∠2 + m∠3 = 90
B) ∠5=∠3
C) ∠2=∠5
D) m∠4=90
Answers
Answer:
B
Step-by-step explanation:
∠ 2 + ∠ 3 = 90° ← True
∠ 5 = ∠ 3 ← False
∠ 2 = ∠ 5 ← True ( vertical angles )
∠ 4 = 90° ← True
Thus the statement that you cannot make is ∠ 5 = ∠ 3 → B
anybody please help me :( I don’t know the answer ??
Answers
elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)
in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4
put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2
Answer: (4,2)
Step-by-step explanation:
You can solve this systems of equation by substitution, graphing, and elimination
Solving by Elimination was found to be the easiest for me.
3x+2y=16
2x-2y=4
eliminate 2y because a positive and a negative will equal zero.
3x+2x=5x, 16+4=20
5x=20, divide 5 on both sides
x=4
Now we solve for y
You can plug in 4 for x in either equations
I did the first equation
3(4) +2y=16
3*4=12
12+2y=16
-12 -12
2y=4
divide 2 on both sides
y=2
Answer is (4,2)
Mark brainlist please
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!
14
[tex]14 \geqslant x - 8[/tex]
Answers
Answer:
Inequality form
x </ 22
Interval Notation
(-∞,22]
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the varible
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)
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Which angles form a linear pair?
Answers
Answer:
b. is correct
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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
Please help me find the answer to this sequence? :)
Answers
Answer:
2....6......10........14.......18
Step-by-step explanation:
Add 4 each time
help me lol abcdefghijklmnopqrstuvwxyz
Answers
Answer:
30 cans
Step-by-step explanation:
We can use ratios
15 cans x cans
---------------- = ------------------
7*2 people days 4*7 people days
Using cross products
15 * 28 = 14 * x
Divide by 14
15 * 28/14 = x
30 =x
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