Answer: Given : A rectangle A B CD
To Prove: Diagonals of the rectangle bisect each other
Proof:
1. ABCD is a rectangle.
→AB ║CD→ Definition of a Parallelogram
→AD║BC→ Definition of a Parallelogram
⇒∠CAD ≅ ∠ACB →→[Alternate interior angles theorem]
⇒Line segment BC ≅ Line segment DA→→Definition of a Parallelogram
In Δ A DE and Δ C BE
AD=BC⇒Proved above
∠CAD=∠ACB ⇒Alternate interior angles theorem
∠ADB=∠CBE ⇒Alternate interior angles theorem
→→Δ A DE ≅ Δ C BE⇒Angle-Side-Angle (A S A) Postulate
BE=DE→→[C P CT ]
A E=CE→→[C P CT ]
⇒Line segment AC bisects Line segment B D⇒Definition of a bisector
Blank Space : Option A⇒∠ADB ≅ ∠CBD
What is the midpoint of AB?
A (-2,5) B ( 3,-3)
midpoint= ((-2+3)/2), ((5+(-3)/2)
= (0.5),(1)
For every 15 bicycles seen in Harlem, there were 60 cars. How many cars will we need for 33 bicycles?
Answer:
132 bicycles
Step-by-step explanation:
The ratio of bicycles to cars is 15:60. Before anything, we need to simplify this ratio. 15/15 = 1, and 60/15 = 4. So, now we have 1:4. Since the question asks for 33 bicycles, we multiply the number of bicycles, 1, by 33. Since we are multiplying the bicycles, we also need to multiply the cars. 4 x 33 = 132.
33:132. We need 132 cars.
a) (-2) + (-3) + (+2)=
b) (3) + (-3) + (-5)=
c) (1) + (8) + (-2)=
d) (5) + (-8) + (-1)=
e) (-6) + (-2) + (1)=
f) (-8) + (6) + (-2)=
g) (-7) + (6) + (-2)=
h) 6 + (-6) + (-7)=
i) -6 + (9) + (-4)=
j) (-4) + 2 + 4 + (1)=
Answer:
The answer is G and also your welcome
Step-by-step explanation:
Bridget, Cassie, and Hannah are discussing the results of their last math test. Hannah shows Bridget and Cassie her test, but Bridget and Cassie don't show theirs to anyone. Cassie says, 'I didn't get the lowest score in our class,' and Bridget adds, 'I didn't get the highest score.' What is the ranking of the three girls from highest to lowest?
Answer:
Based on this I would say Cassie got the highest, then Hannah, then Bridget.
Step-by-step explanation:
Cassie saying that she didn’t get the lowest means that her’s is higher than Hannah’s. The Bridget saying that she didn’t get the highest probably means she got lower than Hannah.
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《Answer》
If Hannah did better than Cassie, there would be no way she could know for sure that she didn't get the lowest score in the class. Therefore, Hannah did worse than Cassie. Similarly, if Hannah did worse than Bridget, there is no way Bridget could have known that she didn't get the highest in the class. Therefore, Hannah did better than Bridget, so our order is
Cassie, Hannah, Bridget
hope the answer helps
can you give a thanks (or a brainllest, if u want to)
thank you
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Nhat number makes the equation true? Enter the answer in the box.
3 = 12:
I WILL MARK BRAINLIST!!!
Answer: There isn't really anything to solve
So I guess, 3 would make the equation true. But, 12 would also make it true as well.
A college cafeteria pays student cashiers $7.70 per hour. Cashiers earn an additional $1.70
per hour for each hour worked over 35 hours per week. A cashier worked 41 hours one
week and 39 hours the second week. How much did this cashier earn in this two-week
period?
Answer:
$633
Step-by-step explanation:
Overtime:
(41 - 35 + 39 - 35) hours = 10 hours
Overtime rate: ($7.70 + $1.70)/hour = $9.40/hour
Regular time:
(35 + 35) hours = 70 hours
Regular rate: $7.70/hour
total pay = regular pay + overtime pay
total pay = $7.70/hour × 70 hours + $9.40/hour × 10 hours
total pay = $633
Brainly if right!!!!!! Plus 15 points
a recipe that makes 4 servings calls for 2/3 cup of flour how much flour is required to make 20 servings
Answer:
3 1/3
Step-by-step explanation:
If 4 servings calls for 2/3 cup of flour, you need to multiply both by five to make 20 servings:
4 x 5 = 20
[tex]\frac{2}{3}[/tex] x 5 = [tex]\frac{10}{3} or 3\frac{1}{3}[/tex]
Answer:
3 1/3
Step-by-step explanation:
took the test
The height of an adult giraffe is 3 times the height of a newborn
giraffe. Given n, the height of a newborn giraffe, write an equation that can
be used to find a, the height of an adult giraffe.
Answer:
3n
Step-by-step explanation:
the adult giraffes height is 3 times the height of the newborn. n is the height of the newborn. so in algebraic quotation 3 times n is written as 3n.
The sum of two numbers is -32. One number is 2 less than the other.
The numbers whose sum is negative 32 will be negative 15 and negative 17.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The sum of the two numbers is -32. One number is 2 less than the other.
Let the two numbers be x and y. Then the equation is given as,
x + y = - 32 ...1
x = y - 2 ...2
From equations 1 and 2, then the value of y will be
y - 2 + y = - 32
2y = - 30
y = - 15
Then the value of x will be given as,
x - 15 = - 32
x = - 17
The numbers whose sum is negative 32 will be negative 15 and negative 17.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
what is the area? please help. this would be my last question
Answer:
242
Step-by-step explanation:
Rectangle= 22*11= 242
Triangle= [tex]\frac{4*3}{2} =6[/tex]
242+6=
248
8 is greater than x, and 4 is less than or equal to x
Rude, we don't use such an answers here. Change it, please.
pls change it
hope.u understand
how many pence are there in twenty three pounds
Answer:
2300 pence
Step-by-step explanation:
1 pound = 100 pence
To calculate how many pence in 23 pounds, multiply 23 by 100:
⇒ £23 = 23 × 100 p = 2300 pence
inverse of the letter a
Answer:
We have the function f(x) = 2x + 3
the processes which take place in this function are
we take x [x]
we multiply it by 2 [2x]
we add 3 to it [2x + 3]
To get the inverse of this function, we will do exactly the opposite of it
we will take the output of the initial function [y]
we will subtract 3 from it [y-3]
we will divide it by 2 [(y-3)/2]
We get the function:
[tex]f^{-1}[/tex](y) = (y-3) / 2
Inverse functions are used to get the initial value used in the function bu using the output of the function
[tex]f^{-1}[/tex](0) = (0-3)/2
[tex]f^{-1}[/tex](0) = -3/2
Therefore, the input of the function is -3/2 when the output is 0
HELP Pllllllzzzzz
thank you have a great day
Answer:
use google that is what I do. it is a good
let their number of sides of a regular polygon is 6 in its radius is 5,then find the length of the side.
Step-by-step explanation:
area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides) area = perimeter * ri / 2 , given ri and polygon perimeter.
Madeline bought a hybrid car that averages 46 miles per gallon. How much gas will she need for a 350-mile trip? Select the equation and the solution (2 answers).
Group of answer choices
350 x 46 = n
46n = 350
approximately 7.61 gallons
approximately 8.75 gallons
Answer:
46n = 350approximately 7.61 gallonsStep-by-step explanation:
1 gallon = 46 miles
350 miles = 350 ÷ 46
46n = 350=7.60869565217 gallons
approximately 7.61 gallonsSolve each equation.
2) 240 = 15n
Answer:
[tex]2)240 = 15n[/tex]
Answer:
n = 16
Step-by-step explanation:
240 = 15 n
solve using inverse operations
240 = 15n
/15 /15
16 = n
Write as an inequality: You have at least as many dogs as cats. (Someone please help me)
Answer:
d ≥ c
Step-by-step explanation:
Answer:
dogs ≥ cats
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 4.1 cm and a base with a diameter of 14.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
[tex]V=235.1\ cm^3[/tex]
Step-by-step explanation:
Volume of a Cone
The volume of a right circular cone with height h and a base radius r is:
[tex]\displaystyle V=\frac{1}{3}\pi r^2 h[/tex]
The height of the given cone is h=4.1 cm and its diameter is d=14.8 cm. Since the radius is half the diameter, r=7.4 cm.
Calculate the volume:
[tex]\displaystyle V=\frac{1}{3}\pi\cdot 7.4^2\cdot 4.1[/tex]
[tex]\displaystyle V=\frac{1}{3}\pi\cdot 54.76\cdot 4.1[/tex]
[tex]\displaystyle V=\frac{1}{3}\pi\cdot 224.516[/tex]
[tex]\boxed{V=235.1\ cm^3}[/tex]
3. A warehouse holds 7,140 shoeboxes. Each aisle holds the same number of
boxes. How many aisles could there be?
a. 9
b. 4
c. 5
d. 6
4. A day care center has 66 children. Each teacher has the same number of
children. How many children could each teacher at the center have?
a. 9
b.4
c. 5
d. 6
5.630 employees work in an office building. The exact same number of employees
work on each floor. How many floors could the building have?
a. 6
b. 4
c. 10
d. 9
Answer:
1) b, c, d
2) d
3) a, c, d
Step-by-step explanation:
Just find the number that can divide by the whole. Say the question was
A pet shop have 20 pets. The same amount of pets are in each room. How many rroms could there be?
If there were 4 rooms, 5 pets would be in each. 20÷4=5. 4 goes into 20 so 4 could be an answer.
If there were 3 rooms, 6 rooms would have 3 pets and 2 would be left over. So it wouldn't work. You just need to find the number that goes into the whole with no remainder.
Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather appropriate data and post your problem, Later, respond to your own post with your own solution. For example, you may believe that the population mean number of times that adults go out for dinner each week is less than 1.5. Your data could be that you spoke with 7 people and found that they went out 2, 0, 1, 5, 0, 2, and 3 times last week. You then would choose to test this hypothesis at the .05 (or another) significance level. Assume a random sample.
Required:
Test this hypothesis at the 0.05 significance level.
Answer:
There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5
Step-by-step explanation:
From the question we are told that
The population mean is less than 1.5
The sample size is n = 7
The sample data is 2, 0, 1, 5, 0, 2, and 3
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{ \sum x_i }{ n }[/tex]
=> [tex]\= x = \frac{ 2 + 0 + 1 + 5 + 0 + 2 + 3 }{ 7 }[/tex]
=> [tex]\= x = 1.857 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (2 - 1.857)^2 + (0 - 1.857)^2 +\cdots (3 - 1.857)^2}{7} }[/tex]
=> [tex]\sigma = 1.773[/tex]
The null hypothesis is [tex]H_o : \mu = 1.5[/tex]
The alternative hypothesis is [tex]H_a : \mu < 1.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]z = \frac{\= x - 1.857 }{ \frac{1.773 }{\sqrt{7} } }[/tex]
=>[tex]z = 0.53[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z < 0.53 )[/tex]
From the z-table
[tex]P(z < 0.53 ) = 0.70194[/tex]
So
[tex]p-value = 0.70194[/tex]
From the values obtained we see that [tex]p-value > 0.05[/tex]
Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5
Cary hiked 18 miles in 6 hours. If he continues at the same pace, how much farther can he hike in the next 2 hours?
Answer: I believe the answer is 6 miles.
Step-by-step explanation: Its states Cary hiked 18 miles in 6 hours. If you divide 18 by 6, you get the answer 3. This means that 6 multiplied by 3 will give you 18, so just do the same to the number 2. Two multiplied by 3 gives you 6.
5,12, 19, ...
Find the 48th term.
The sequence 5,12, 19, ... is an arithmetic sequence
The 48th term is 334
How to determine the 48th term?The sequence is given as:
5,12, 19, ...
The above sequence is an arithmetic sequence with the following parameters:
First term (a) = 5
Common difference (d) = 7
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T48 = 5 + (48 - 1) * 7
Evaluate
T48 = 334
Hence, the 48th term is 334
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
PLZZZZZZZZZZZZZZZ HURRYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!! plzzzzzzzzzzzzzzzzzzz A girl scout troop is selling cookies. on wednesday, the group set up their stand and sold 1/12 of their boxes in 15 minutes. At this rate how much of their cookies could they sell in one hour
Hello Can Someone Please Answer This Question I Will Mark You The Brainliest
I will tackle this problem by dividing the figure into 4 visible rectangles and 1 L shaped figure which i will add together to get the total area.
Rectangle (1)= h×w =4×5=20 cm²
Rectangle (2)= h×l =4×5=20 cm²
Rectangle (3)= h×l =4×5=20 cm²
Rectangle (4)= h×w =4×5=20 cm²
L-shaped polygon which i will divide into 2 parts
Part 1's area: l×w= 5×5=25 cm²
Part 2's area: l×w= 10×5=50 cm²
Total area=(20+20+20+20+25+50)
Total area=155 cm²
Theo is driving with his mom to Paso Robles. It took Theo 4 hours to drive 228 miles. Lex drove with his dad to San Luis Obispo. Lex drove 186 miles in 3 hours. a. How far does Theo drive in 1 hour? How far does Lex drive in 1 hour? b. Who drove faster? Explain how you know.
Answer:
A. Theo drove 57 miles and Lex drove 62 miles in 1 hour.
B. Lex drove faster. We know this because in order to figure out how many miles each drove per hour you need to find there individual rate. Which is 228/4 and 186/3. You want to divide using the hours so you generate a response where 1 hour is the only thing left. Thus giving you mph (miles per hour). Lex is drove 5 miles more in an hour than Theo leading us back to who drove faster. Lex did.
Hope this helps!
What is the equation of a line parallel to y=7x-8 that passes through (5, -2)?
Answer:
The required line is Parallel to y = 7x - 8
This means their slopes are equal
So m = 7
Now writing the equation of straight line,
[y - (-2)] = m(x - 5)
y + 2 = 7(x - 5)
y + 2 = 7x - 35
7x - y - 37 = 0
Hope This Helps Y
Guys what is the definition of consecutive numbers? Anyone know? 20 points for first answer!!
They are integers that follow one right after another. For example the set {1,2,3,4,5} represents consecutive numbers. Another example would be {9,10,11,12,13}
In general, if x is some integer, then x+1 is the next integer right after x, and x+2 is right after x+1 and so on. The list is {x, x+1, x+2, x+3, ...} representing any general set of consecutive numbers.
I need help on this question!
Solve the equation. y+18=29
Check your solution using substitution.
Group of answer choices
y=47
y=522
y=11
y=523.6
Answer:
y= 11
Step-by-step explanation:
When you work out the problem, you will see that y = 11.
Answer:
y=11
Step-by-step explanation:
You do:
y+18-18=29-18
y=11