Plot A(0, 0), B(1, 0), C(1, 2), D(2, 0), and E(2, 4). Then sketch ∆ABC and ∆ADE. By what postulate or theorem could you show that ∆ABC and ∆ADE are similar? A. AA Similarity Postulate B. SAS Similarity Theorem C. SSS Similarity Theorem D. Any of the above could be used to show that the triangles are similar.
Answer:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The correct option is;
A. AA Similarity Postulate
Step-by-step explanation:
1) Please find attached the given plot and sketch of the points created with Microsoft Word
2) The given parameters are;
The coordinates of the points are A(0, 0), B(1, 0), C(1, 2), D(2, 0) and E(2, 4)
Therefore, we have;
The length of segment AB = 1
The length of segment BC = 2
The length of segment AD = 2
The length of segment DE = 4
Therefore, we have;
∠ABC = ∠ADE = 90°
∠BAC = = artctan(2/1) = ∠DAE = artctan(4/2) = 63.435°
Therefore, ΔABC and ΔADE are similar by AA Similarity Postulate
Leah would like to earn at least $120 per month. She babysits for $5 an hour and works at an ice cream shop for $10 per hour. Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop.
This question is incomplete
Complete Question
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y
represent the number of hours Leah works at the ice cream shop.
Answer:
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Step-by-step explanation:
Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.
Hence:
x + y ≤ 20 ...... Equation 1
Leah would like to earn at least $120 per month.
She babysits for $5 an hour and works at an ice cream shop for $10 per hour.
Hence, out Equation is given as:
x × $5 + y × $10 = $120
5x + 10y ≥ 120..... Equation 2
The inequalities to solve this question is given as:
x + y ≤ 20
5x + 10y ≥ 120
To find x and y:
x + y = 20
x = 20 - y
5x + 10y = 120
Substitute: 20 - y for x
5(20 - y) + 10y = 120
100 - 5y + 10y = 120
Collect like terms
- 5y + 10y = 120 - 100
5y = 20
y = 20/5
y = 4 hours
Note:
x = 20 - y
x = 20 - 4
x = 16 hours
Hence:
Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120
Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 ft. and Grace threw it 39 ft. How far did the team throw the javelin?
Answer:
42+39 or 81 feet
Step-by-step explanation:
add them up and you get 81 feet.
Hope this helps plz hit the crown :D
Simplify: 12 + 4n + 5 - 2n - 10
Answer:
2n+7
Step-by-step explanation:
The price of a bicycle was decreased by 40% to £96. What was the price before the decrease?The price of a computer was decreased by 20% to £420. What was the price before the decrease?
-41 + 22 negative or positive
Answer:
-19
Step-by-step explanation:
I am doing a percent equation problem and I need help please here’s the question 20% of blank =10
Answer:
[tex]50[/tex]
Step-by-step explanation:
Let [tex]x =[/tex] blank (for convenience)
[tex]20\%x=10[/tex]
[tex]0.2x=10[/tex] (change [tex]20\%[/tex] into its decimal form)
[tex]x = 10\div 0.2[/tex] (divide [tex]0.2[/tex] on both sides)
[tex]x=50[/tex]
∴ Blank = 50
Hope this helps :)
question is in the picture please show work
Answer:
D
Step-by-step explanation:
The m=3/4 when graph
Help pls I’m really stupid
Answer:
8
Step-by-step explanation:
[tex]x - y \\ \\ = 6 - ( - 2) \\ \\ = 6 + 2 \\ \\ = 8[/tex]
You are a genius and not a stupid.
HELP Did you know that chickens sometimes eat vegetables and fruits? A farmer likes to give the chickens apples to share. The farmer observes that 3 chickens eat 5 apples. What is the ratio of the number of chickens to apples?
5:2?
5:3?
2:5?
3:5?
Answer:
3:5
Step-by-step explanation:
the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 The width is 7
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The Length is 10.
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Dimensions of the rectangle are length=10 meter and width= 7 meter
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
The length of a rectangle is 4 meter less than twice its width
Consider,
l is the length of the rectangle
w is the width of the rectangle
l=2w-4
Area of the rectangle = Length × Width
70=l × w
Substitute the value of l is the second equation
70=(2w-4)×w
[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]
Take 2 outside
[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]
w=7,-5
Hence w wont be negative value
Therefore w=7 meter
Then,
l×w=70
[tex]l=\frac{70}{7}\\[/tex]
l=10 meter
Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter
Learn more about rectangle here
https://brainly.com/question/16167300
#SPJ2
4. The graph of a linear function is shown. Which best
describes the slope of the line?
A. Zero Slope
B. Undefined Slope
C. Negative Slope
D. Positive Slope
Foot Locker is selling a pair of Nike for $60 that has been discounted by 25%. What was the original selling price?
i only need A. please help asap
Answer:
B
Step-by-step explanation:
The answer is B because it has the slope and its on the rise and run.
Hope this help:)
PLss maark brainlist
Answer:
the answer is b
Step-by-step explanation:
the answer is b
Which of these is not a unit for measuring weight?
A
ton
B.
gallon
С
ounce
D
pound
helppp me plssss because it’s a test
Answer:
3
Step-by-step explanation:
14 ÷ (2 + 5) what the answer to this?
Answer:
2
Step-by-step explanation:
2+5 = 7 14 divided by 7 is 2
mark as brainliest plz
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams.
What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?
Answer:
118%
Step-by-step explanation:
550 grams and 300+350 grams = 650 grams
650/550 grams x 100 = 118.18
So 118.18 % rounded is 118%
Hope this helps plz hit the crown :D
Answer:
The kitten has gained a 218% more weight since the first visit to the vet.
Step-by-step explanation:
In order to get the percentage the kitten has gained you have to add all the weight together and divide the first visit by the total weight.
TO find the total weight is found by adding all the weights together:
550 + 350 + 300 = 1200
now we divide 1200 by 550 to get a decimal which allows us to find the percentage:
1200 / 550 = 2.18181818182
now we multiply 0.45833333333 by 100 to turn the decimal to a percentage:
2.18181818182 * 100 = 218.181818182%
Now we round up to the nearest percentage which is:
218.181818182% = 218%
HELP PLEASE!
a car drives at a rate of 65 mi/hr. what is the speed of the car in ft/s? note: 1 mi = 5280 ft
a. 44 ft/s
b. 95 ft/s
c. 5720 ft/s
d. 0.0181 ft/s
I'm pretty sure its c
because 5280x65=343200
and 343200/60 is 5720
Answer: It’s 95 ft/s
Step-by-step explanation:
quiz
Felicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?
Answer:
[tex]Tatiana = \$8.35[/tex]
Step-by-step explanation:
Given
[tex]Total = \$31.50[/tex]
[tex]Felicia = \$4.25[/tex]
[tex]Ingrid = 2 * Felicia[/tex]
[tex]Meiko = \$1.90 + Ingrid[/tex]
Required
Determine amount spent by Ingrid
We have that:
[tex]Ingrid = 2 * Felicia[/tex]
Substitute $4.25 for Felicia
[tex]Ingrid = 2 * \$4.25[/tex]
[tex]Ingrid = \$8.5[/tex]
We also have that:
[tex]Meiko = \$1.90 + Ingrid[/tex]
Substitute $8.5 for Ingrid
[tex]Meiko = \$1.90 + \$8.50[/tex]
[tex]Meiko = \$10.40[/tex]
The total can be represented as thus:
[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]
[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]
[tex]\$23.15+ Tatiana = \$31.50[/tex]
Collect Like Terms
[tex]Tatiana = \$31.50 - \$23.15[/tex]
[tex]Tatiana = \$8.35[/tex]
Solving systems by elimination: Abbie bought a combination of streamers and balloons for a birthday party. The number of balloons, y, was three less than two times the amount of streamers perchased, x,. If Abbie bought a combination of 9 balloons and streamers, what system of equations can represent the situation?
Answer:
the two equations you can use are
y = 2x - 3
y + x = 9
Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?
Answer:
A≈50298
Step-by-step explanation:
What is the slope of the graph?
Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
PLEASE PLEASE HELP ME I WILL GIVE BRAINALIST
Answer:
Hiii
Step-by-step explanation:
3. M=-3/4 B=4
6. M=-5/4 B=-2
Anyways.....Im failing math :D
Answer:
SELENA IS THE BEST SINGER IN THE WORLD OTHER THAN NICKI MINAJA
Step-by-step explanation:
Answer:same ;p
Step-by-step explanation:
I will give lotta points and brainly, find the area and plz make it correct
Answer:
The area of what?? Is there a picture or something to go with this...
Step-by-step explanation:
Also the area of a rectangle, square, or parallelogram is Base x Height
The area of a triangle is (base x height) ÷ 2
The area of a circle is πr²
The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side
The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height
If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.
That's all I can do to help because I don't know what you want me to find the area of :/
*PLS HELP ME ASAP 100 POINTS* There are 49 servings in a box of cereal. Each serving size is 1/7 of a cup of cereal. If one person eats 1 cup and another person eats 4 cups, how many cups are left in the box of cereal?
Answer:
2 cups left
Step-by-step explanation:
peeps go look up egde rewies
*shocking*
-runs in high heels-
-trips-
oh my! dear child..
An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8