Answer:
The answer is Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
what’s the length of E to D
what’s the length of B to E
Given:
In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.
To find:
(a) The length of ED.
(b) The length of BE.
Solution:
In triangle ABE and ACD,
BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.
[tex]m\angle ABE=m\angle ACD[/tex] (Corresponding angles)
[tex]m\angle BAE=m\angle CAD[/tex] (Common angle)
Now,
[tex]\Delta ABE\sim \Delta ACD[/tex]
Corresponding sides of similar triangles are proportional.
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]
(a)
[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]
[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]
[tex]0.8=\dfrac{26}{AD}[/tex]
Isolate AD.
[tex]0.8AD=26[/tex]
[tex]AD=\dfrac{26}{0.8}[/tex]
[tex]AD=32.5[/tex]
Now,
[tex]AD=AE+ED[/tex]
[tex]32.5=26+ED[/tex]
[tex]32.5-26=ED[/tex]
[tex]6.5=ED[/tex]
Therefore, the length of ED is 6.5.
(b)
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]
[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]
[tex]0.8=\dfrac{BE}{18}[/tex]
Multiply both sides by 18.
[tex]14.4=BE[/tex]
Therefore, the length of BE is 14.4.
need answer ASAP 30 points
I have two questions. Both need written in standard form. Please show your work!!
1.) What is : y= 1/5x + 1/3 in standard form?
2.) What is : y= 2/7x - 1/3 in standard form?
Answer:
1) 3x - 15y = 5
2) 6x - 21y = 7
Step-by-step explanation:
standard form: Ax + By = C
1) y = 1/5x + 1/3
multiply each side by 15 to eliminate fractions: 15y = 3x + 5
final form: 3x - 15y = -5
2) y = 2/7x - 1/3
multiply each side by 21 to eliminate fractions: 21y = 6x - 7
final form: 6x - 21y = 7
Gonzalo is trying to find the unit price On a 6-pack of orange juice on sale for $6.99. His sister says that at that price, each bottle of orange juice would cost over $1.05. Is she correct?
Answer:
Yes
Step-by-step explanation:
Unit prices come from dividing the price, $6.99, by the amount of product, 6,
6.99 ÷ 6 = 1.165
Now, because you cannot have more than two digits in the cents part, you would round that up to $1.17 which is over $1.05 dollars per bottle.
Plz I need the answer
What are the lengths of side AB and side BC?
Answer: AB=20, BC=14
Step-by-step explanation:
set AB together with the side congruent to it (which is DC)
3x-7=x+11
subtract x and add 7 to both sides
2x=18
divide both sides by 2
x=9
plug 9 in for AB.
3(9)-7
27-7=20.
now do the same for BC
Answer:
AB = 20
BC = 14
Step-by-step explanation:
ABCD is a parallelogram
Opposite sides of a parallelogram are equal.
Therefore,
AB = DC
3x - 7 = x + 11
3x - x = 11 + 7
2x = 18
x = 18/2
x = 9
AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20
7y - 7 = 3y + 5
7y - 3y = 7 + 5
4y = 12
y = 12/4
y = 3
BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14
50 points!True or false? Will mark brainliest
Answer:
true
Step-by-step explanation:
Find the gcf of X^2-5x
Answer: This answer is 1
Step-by-step explanation: Plzz mark brainliest - Lily ^_^
Does anyone know how to do this
Answer: this was a rotation.
HURRY PLEASE WILL MARK BRAINLIEST PLEASE ANSWER 3 & 4!!!!!!
Answer:
Step-by-step explanation:
3. 6 in squared (a)
4. 25 cm squared (d)
ols mark brainliest if it helped!!!
tom rides the bus part of the way to school and then he walks the rest pf the way. he walks five minutes longer than he rides. the whole trip takes 27 minutes. for how many minutes does he walk
Answer:
16 minutes
Step-by-step explanation:
Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:
27 - 5 = 22
Now that you have done this, divide 22 by 2:
22/2 = 11
Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:
11 + 5 = 16.
Answer:
Tom walked 16 minutes.
Step-by-step explanation:
If the walk is five minutes longer than the bus ride, we just need to subtract the five minutes, and divide the rest by two. (b) will be the time of the bus ride.
[tex]27=2b+5\\27-5=2b\\22=2b\\22/2=b\\11=b[/tex]
The bus ride would be 11 minutes long, we just add five minutes to that for the time of the walk. (w) will be how long the walk took.
[tex]11+5=w\\16=w[/tex]
Express this number in scientific notation.
31 billion
Answer:
3.1 * 10^10
Step-by-step explanation:
we know 1 billion is 1,000,000,000
In scientific notation
1,000,000,000=1 * 10^9
To find the value of 31 Billion
Multiply the value of one billion for 31
so
31 * 1 * 10^9 = 31 * 10^9
= 3.1 * 10^10
HELP I NEED HELP ASAP
FIND THE SLOPE AND Y-INTERCEPT OF THE TABLE.
Find the value of x. Round to
the nearest tenth.
10
X
500
Answer:
88.16
Step-by-step explanation:
You will have to use tan to solve it
The value of x round to the nearest tenth is,
⇒ x = 85
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Base of height = 500
Angle = 10°
Now, We can formulate;
⇒ tan 10° = x / 500
⇒ 0.17 = x / 500
⇒ x = 85
Thus, The value of x round to the nearest tenth is,
⇒ x = 85
Learn more about the triangle visit;
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plssss help ASAPPP!!!!!!!
Answer:
12
Step-by-step explanation:
you have to times 2 x 6 to find your x
I'm not for sure tho but I hope it's right
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?
Write the answer as an improper fraction (fraction greater than one) in lowest terms.
Answer:
The rate of change of a linear function = 5/4
Step-by-step explanation:
Given that a linear function includes the points (2, 3) and (6, 8).
So we have the points
(2, 3)(6, 8)We know that the rate of change of a function is also termed as the slope of the function.
In other words, the slope of the linear function gives us the rate of change of the linear function.
Thus,
Determining the rate of change or slope between (2, 3) and (6, 8)
(x₁, y₁) = (2, 3) (x₂, y₂) = (6, 8)Using the formula
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [8 - 3 / [6 - 2]
= 5 / 4
Thus, the rate of change of a linear function = 5/4
HELP TRUE OR FALSE PLSS SO HARD
Answer:
False I think :>
Step-by-step explanation:
Answer:
false
hope this helps you! :)
Is the following relation a function?
Y = 3x
Answer:
Yes
Step-by-step explanation:
If you subsitute for x, x will only repeat if it has the same y value.
Yes, The given relation is a function.
Here,
The relation is given as; Y = 3x
We have to find the given relation is a function or not.
What is Function?
A relation is said to be function if there is exactly one value for each value of y.
Now,
The given relation is,
Y = 3x
When, we put x = 1 then y = 3
And, when x = 2 then y = 6 and so on.
Clearly, there is exactly one value of x for value of y.
So, The given relation is a function.
Learn more about the function visit:
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A jet leaves the Charlotte, North Carolina, airport traveling at an average rate of 564 km/h. Another jet leaves the airport one half hour later traveling at 744 km/h in the same direction. Use an equation to find how long the second jet will take to overtake the first.
A.
2 1/15 h
B.
1 17/30 h
C.
− 1 17/30 h
It's on Gradpoint
Answer:
1 hour/ 34 minutes
Step-by-step explanation:
Which equation shows the relationship between x and y?
Answer:
d
Step-by-step explanation:
Answer:
D. y = -3x
Step-by-step explanation:
plug x into the equation:
y = -3(-4) = 12 (s0 when x = -4, y = 12)
y = -3(-3) = 9
y = -3(-2) = 6
y = -3(-1) = 3
a line intersects the point (-3, -7) and has a slope of -3. what is the slope-intercept equation for this line?
y= -3x + ?
what is in math solve the following equation 35x-7y=49
Answer:
There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.
You could however use them as a description of a line, which gives every possible solution.
35x - 7y = 49
7y = 35x - 49
y = 5x - 7
We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)
Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
Please solve for a and b
Answer:
a = 29.445 and b = 17
Step-by-step explanation:
Hope this helped! Please mark me as brainliest if you can!
good night all ✨
[tex] {\boxed{\tt 1.}} \: \: \tt 24 + 5 \times 14 \div 2 = [/tex]
[tex]{\boxed{2.}} \: \: \: \tt 200 \div 4 \times 6 = [/tex]
must accompany "step by step"! :)
Answer:
1. 24+5*14/2=
step 1. 24+5=29
step 2: 14/2=7
step 3: 29*7=59!
2. 200/4*6=
step 1: 4*6= 24
step 2: 25/200= 300!
Step-by-step explanation:
hope this helps did step by step explanation! brainliest?
1. 24+(5×14)÷2
=24+70÷2
=24+35
=59
2. 200÷4×6
=50×6
=300
The price of an item has been reduced by 60% the original price was $20 what is the price of the item now
Answer:
6
Step-by-step explanation:
20 times 0.3 is 6
Answer:
reduced by 20% so that means it is going to be 20% cheaper. You need to take off 20% of $60
20% is 0.2
of in math ALWAYS means multiply
0.2 X 60 = 12
You get 12 off
60 - 12 = 48
the new price is $48.00
Here is another way. You get 20 % off and that leaves 80% that you have to pay.
80% of 60
= 0.8 x 60
= 48
You pay $48.00
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
The sides of a 30-60-90 triangle are always in the ratio 1:√3:2.
The length of the side opposite the 90° angle is 4, so the length of the side opposite the 30° angle is 2 and the length of the side opposite the 60° angle is 2√3.
x = 2√3
Plz, HELP! Heather earned 750$ at a summer job and deposited it in a bank. The savings account paid 3% simple annual interest. What is the balance in her account at the end of four years? Please Answer correctly and explain your answer. :D
Answer: 844.131607
Step-by-step explanation:
750/100=7.5
7.5 is 1%
22.5 is 3%
YEAR 1 (750+22.5) 772.5
772.5/100
7.725 is 1%
23.175 is 3%
YEAR 2 (23.175+772.5) 795.675
795.675/100
7.95675 is 1%
23.87025 is 3%
YEAR 3 (23.87025+795.675) 819.54525
819.54525/100
8.1954525 is 1%
24.5863575 is 3%
YEAR 4 (24.5863575+819.54525) 844.131607
:D Done! Please give me brainliest! It took alot of time for me to do this!
When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?
Answer:
The answer is 1/36
Step-by-step explanation:
Step one:
Given data
sample space= $1, $2,$5,$10,$20,$50
sample size= 6
Required
The probability of choosing 20 and 10 dollar bill
Step two
The probability is
1/6*1/6= 1/36