I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!!!
The figure below shows a square ABCD and an equilateral triangle DPC:
ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle D
Jake makes the chart shown below to prove that triangle APD is congruent to triangle BPC:
Statements Justifications
In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal
Sides of square ABCD are equal
In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° and angle ADP = angle BCP = 90° − 60° = 30°
Triangles APD and BPC are congruent SAS postulate
Which of the following completes Jake's proof? (1 point)
In triangles APD and BPC; AD = BC
In triangles APD and BPC; AP = PB
In triangles APB and DPC; AD = BC
In triangles APB and DPC; AP = PB.
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Answer:
(a) In triangles APD and BPC; AD = BC
Step-by-step explanation:
We're not concerned with triangle APB, eliminating the last 2 choices.
We're not concerned with sides AP and BP, as they're not sides of the square, eliminating the second choice.
The choice that makes any sense in the proof is ...
In triangles APD and BPC; AD = BC
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
than Amari, and DJ collected $15.60 less than Kobe.
If x = the amount raised by Amari, choose the expressions that represent the amount
each other player raised.
Answer:
x+8.95 and x+24.55
Step-by-step explanation:
im not going to do this
Grandma gives 180 marbles to her ten grandchildren. No two children get the same amount of marbles. Betsy gets the most. What is the least number of marbles that Betsy could get?
Answer:
23 marbles
Step-by-step explanation:
Number of children = 10
Number of marbles = 180
Since Betsy gets the most and no 2 children gets the same number of marbles
The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each
That is :
Betsy = x
9th child = x - 1
8th child = x - 2,... 1st child = x - 9
Hence,
(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180
10x - 45 = 180
10x = 180 + 45
x = 225 / 10
x = 22.5
x = 23
Hence, the least Betsy could get is 23 marbles
Two cruise ships leave the same port with a 35° angle between their path. Cruise A is traveling at 18 miles per hour and Cruise B is traveling at 15 miles per hour. If they travel in a straight path, find the distance between the cruise ships after 2 hours
Answer:
[tex]20\:\mathrm{miles}[/tex]
Step-by-step explanation:
After travelling two hours, the two cruise ships form a triangle. One of the legs of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:
[tex]s=\frac{d}{t}, d=s\cdot t[/tex]
Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:
[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]
Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:
[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]
Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:
[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:
[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).
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Answer:
20.7 miles
Step-by-step explanation:
The distance that A travels in the same direction as B is ...
(18 mi/h)(2 h)cos(35°) = 29.489 mi
So, the difference in distances in that direction is ...
(15 mi/h)(2 h) -29.489 mi = 0.511 mi
__
The distance A travels in the direction perpendicular to B is ...
(18 mi/h)(2 h)sin(35°) = 20.649 mi
So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:
AB = √(0.511² +20.649²) = √426.632 . . . miles
AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that
Help Asap 15points pic below
Answer:
[tex]\frac{1}{r^{10} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )
= [tex]\frac{1}{a^{(n-m)} }[/tex]
Then
[tex]\frac{r^{2} }{r^{12} }[/tex]
= [tex]\frac{1}{r^{(12-2)} }[/tex]
= [tex]\frac{1}{r^{10} }[/tex]
Find the measure of
Answer:
134
Step-by-step explanation:
You must add the angles together:
67+67=134
Answer:
134
Step-by-step explanation:
Peter runs laps on the school track every afternoon. He wants to run no more than 60 minutes a day. He can consistently run each lap in 1.5 minutes. Which inequality best represents the situation and represents x, the greatest number of laps Peter could run in a day?
Answer:
1.5x ≤ 60
Step-by-step explanation:
He wants to run no more than 60 minutes a day
No more than means Less than or equal to with the inequality sign of ≤
Each lap = 1.5 minutes.
The greatest number of laps Peter could run = x
Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day
1.5 × x ≤ 60 minutes
= 1.5x ≤ 60
Solving for x
1.5x ≤ 60
x ≤ 60/1.5
x ≤ 40 laps
Hence, the Greatest number of laps = x that he can run is 40 laps
Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet? Answer may be written using decimal form and should be rounded to the nearest hundredths when necessary.
Answer:182.88cm
Step-by-step explanation:
12in in a foot
12in x 6 ft. = 72in
72in x 2.54cm = 182.88cm
Answer:
182.88
Step-by-step explanation:
6 ft = 72 inches
72(in) x 2.54(cm per inch) = 182.88cm
Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)
Answer (this one's written in slope-intercept form):
[tex]y= \frac{3}{5}x -3[/tex]
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:
[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]
3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.
When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.
Answer:
R(t) = 10 + 0.50t
Step-by-step explanation:
1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams
Answer:
24,000
Step-by-step explanation:
Answer:
24,000
Step-by-step explanation:
Every kilogram is 1,000 grams
solve for y. will give brainiest
Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Tyler says he invented a number puzzle.
He asks Clare to pick a number, and then asks her to do the following:
Triple the number
Subtract 7
Double the result
Subtract 22
Divide by 6
Clare says her final answer is -3. Tyler says her original number she thought must have been 3.
How did Tyler know that? Explain or show your reasoning.
Help me out please an thank you
What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4
Answer: B)-4
Step-by-step explanation:
The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]
Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]
[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]
Hence, the solution is : x=-4
The correct option is B.
Solve the equation.
x/-2-17=-7
A.) 48
B.) –2
C.) 14
D.) –20
Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.
Answer:
He earns $400 weekly and $57.14
Step-by-step explanation:
40*10 = $400
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
need help asap please
Answer:
-3.4
Step-by-step explanation:
-26=10A+8
-26-8=10A
-34=10A
-34/10=A
-3.4=A
Answer:
a= -17/5 or -3.4
Step-by-step explanation:
Move all terms that don't contain a to the right side and solve.
PLSSS HELP
Diego earns $10 per hour babysitting. Assume that he has no money saved before he starts babysitting and plans to save all of his earnings. Graph how much money, y, he has after x hours of babysitting.
Answer:
Hey!
Step-by-step explanation:
Legit just like make a graph like this:
10 | 1
20 | 2
30 | 3
And so on and so forth
5. Order from least to greatest.
4996,
10
48%
3. 41
0.408,
7100
Answer:
0.408
48%
3.41
10
4996
7100
Step-by-step explanation:
Answer:
It should be 0.408, 48%( which is equal to 0.48), 3.41,10,4996,and 7100
Step-by-step explanation:
This recipe makes 4 portions of porridge.
Complete the amount of each ingredient that is needed to make just 3 portions.
Recipe: Serves 4
240 g oats
1.2 L milk
60 g sugar
Can someone help
Answer:
180 g oats
0.9 L milk
45 g sugar
Step-by-step explanation:
those are all divided by 3/4 making just 3 portions :D
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
{(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O{0, -9, -2, -3)
Answer: O {(0, -9), (-9, 0), (-3, -3)}
Step-by-step explanation:
A perfect score in the game is 300 points You get a perfect score if you knock down 120 pins
Find what percent 120 is of 300 then express the percent oa a decimal
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Drag to represent the number of footballs sold for every 2 basketball sold
Answer:
5 units of football
Step-by-step explanation:
Given that :
2.5 times as many footballs as basket balls is sold;
This means that ; for every unit of basketball sold 2.5 times that unit is the number of football sold ;
Hence, for every 2 basket balls sold, the number of units of football sold is ;
2 * 2.5 = 5 units
Ryan buys landscape supplies that total $179.92 before tax. The sales tax amount is $14.39. What percent sales tax did Ryan pay?
Answer:
Step-by-step explanation:
thx for the points
a company sets up a food booth at the county fair. the fee for the food booth is 100$ plus 5$ per day. which expression can be used to determine how much money it would cost after x days?
Answer:
Total cost after x days = 100 + 5(x)
Step-by-step explanation:
Given:
Fixed cost = $100
Per day charges = $5
Find:
Total cost after x days
Computation:
Assume;
Number of days = x
Total cost after x days = $100 + $5(x)
Total cost after x days = 100 + 5(x)
(Giving Brainliest♡)
Draw fraction models to solve this equation.
5 ÷ 1/3
Here is an image if needed!:
Answer:
15
Step-by-step explanation:
Hi there! :)
If you created 5 circles cut into thirds, you would create 15 1/3 pieces.
You can also use the KCF method to solve this!