In the diagram given, AB is parallel to DC. If M is the midpoint of AC, must it also be the midpoint of BD? Why?
Answers
Answer:
See explanation
Step-by-step explanation:
Since m∠B = m∠D because alternate interiors angles are congruent when the lines are parallel
and m∠BMA = m∠CMC because vertical angles are congruent
and it AM = MC because it is given that M is the midpoint of AC, then
ΔBMA is congruent to ΔDMC.
Therefore, BM = DM because corresponding parts of congruent triangles are congruent.
Now, M is the midpoint of BD because BM = DM
Related Questions
You earn 3653 points in level 1 of a video game and
2375 points in level 2. After level 3, your point total is
8876. Write an equation you can use to find the
number of points (p) you scored in level 3.
Answers
Answer:
8876-(3653 +2375)
Step-by-step explanation:
So your total is 8876. On the first and the second level of the game you scored 3653 and 2375. But when you where done playing the third level your total from all of the levels ended up to be 8876. So if you wanted to find how much points you got on level 3, then you would add 3653 + 2375, then suntract the total of that from 8876.
(Hope this helps)
Yours Truely, TheAnimeCatUwU
Myra’s tutor used these steps to solve the problem 10x^2=90.
• Divide both sides by 10 to get x^2=9.
• Take square roots on both sides to get x=±3.
Using this method, what is the solution to 7x^2=1008?
±
3
± 3
±
7
A. ± 7
B. ±12
C. ± 12
D. ±144
Answers
Answer:
Step-by-step explanation:
7x² = 1008
divide both sides by 7:
x² = 144
x = ±√144 = ±12
A store marks up it prices by 37%. What is the new price of an
item that was originally $28?
Answers
Answer:
$38.36
Calculate 137% of 28, and you will get $38.36, unrounded.
18.
There are 100 cards, numbered 1 to 100, face down on a table.
What is the probability that Jenny picks a card with a number less than 81?
Write your answer as a fraction in its simplest form.
Answers
Answer:
19/100 which is already simplified( it can't be simplified)
How I got the answer: subtract 81 from 100 and you'll get 19.
Put 19 over 100 (19/100) and there's the answer.
If an athlete is tested for a certain type of drug usage, then the test will come out either positive or negative. However, these tests are never perfect. Some athletes who are drug free test positive, and some who are drug users test negative. The former are called false positives; the latter are called false negatives. Assume that 5% of all athletes use drugs, 4% of all tests on drug-free athletes yield false positives, and 10% of all tests on drug users yield false negatives. Define the events as follows: Free: an athlete is drug free. User: an athlete is a drug user. Positive: an athlete is tested positive Negative: an athlete is tested negative. Then, we have P(User) - 0.05, P(Positive Free) = 0.04, and P(Negative User) - 0.10, What is the probability that a randomly selected athlete tests positive, P(Positive)? a. 0.083 b. 0.127 c. 0.308 d. 0.312
Answers
Answer:
positive...............
A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days. Enter the exact answer. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c*exp(h) or c*ln(h).
Answers
Answer:
m = 0.2508 g
Step-by-step explanation:
We know that for continuous exponential decay, we usually use the format;
N = N_o•e^(kt)
Where N and N_o represent amount after time t and intial amount respectively. And k is decay rate.
But in this case, we are dealing with mass.
Thus, we will use;
m = m_o•e^(-kt)
We are given;
Initial mass; m_o = 0.5 g
Time after decay; t = 60 days
Decay rate; k = 1.15% per day = 0.0115 per day
Thus;
m = 0.5e^(-0.0115 × 60)
m = 0.5 × 0.5016
m = 0.2508 g
.....................................................
Answers
Answer:
.......................................
Step-by-step explanation:
Answer:
what-
Step-by-step explanation:
increasing and decreasing Functions (anyone help):
Answers
Step-by-step explanation:
the function of increasing for -2.5 < x < 2.5
or written as :
x > -2.5
x < 2.5
Adter dinner, 3/4 of a pie ramains. If tasha eats 1/6 of the remaining pie, how much of the total pie does tasha eat?
Answers
Answer:
Adter ate [tex]\frac{1}{4}[/tex] of the remaining pie.
Step-by-step explanation:
equation:
⇒ [tex]\frac{3}{4} - \frac{1}{6}[/tex]
when subtracting fractions, make sure both denominators are the same, to do this, multiply the first fraction by 3 and the second fraction by 2
⇒ [tex]\frac{3}{4} x 3 - \frac{1}{6} x 2[/tex]
⇒ [tex]\frac{9}{12} - \frac{6}{12}[/tex]
solve:
⇒ [tex]\frac{9}{12} - \frac{6}{12}[/tex]
⇒ [tex]\frac{3}{12}[/tex]
simplify:
⇒ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
By visual inspection, determine the best-fitting regression model for the data plot below. A. exponential B. linear decreasing C. linear increasing D. no pattern
Answers
The best-fitting regression model for the data plot given is linear decreasing. Therefore, option B is the correct answer.
What is linear regression?Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.
In the given graph, the data plot shows the decreasing order.
Therefore, option B is the correct answer.
Learn more about the linear regression here:
brainly.com/question/29665935.
#SPJ7
Results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies
Answers
Answer:
Given that 162 is 81% of 200, we can affirm that the percentage of students who will attend college after high school has increased.
Step-by-step explanation:
Given that results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation, if a random sample of 200 high school seniors from this city reveals that 162 plan to attend college, to determine if this indicates that the percentage has increased from that of previous studies, the following calculation must be performed:
200 x 0.76 = 152
200 = 100
162 = X
162 x 100/200 = X
16,200 / 200 = X
81 = X
Thus, given that 162 is 81% of 200, we can affirm that the percentage of students who will attend college after high school has increased.
determine the intercepts of the line.
x- intercept _,_
y- intercept _,_
HELP ME ASAPPP
Answers
Answer:
x-intercept (-7 , 0)
y-intercept (0 , 2)
Step-by-step explanation:
Angle a = 126. What is the measure of angle b? Explain how you calculated your answer.
Angle a = 126". Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
Answers
Answer:
e..r22 5x. answer c E-MC
Answer:
angle b=54 and angle h=36
Step-by-step explanation:
a straight line= 180 degress and a=126 so b=180-126=54 so angle be equal 54 and that square equals 90 so 54+90=144 and since a triangle has to equal 180 that means h=180-144=36 so angle h=36 and angle b=54.
What is the length of QR?
600
20
Q
R
Select the best answer from the choices provided.
Answers
Answer:
A. 10 HOPE IT WILL HELP YOU
Can someone help me with these questions pls just for a bit pls thank you so much if you help or try
Answers
Answer:
-1.75 goes in the first square ( the one closer to -2 )
-3/4 goes in the second square
1/4 in the third square
.75 in the fourth square
1 1/2 in the fifth square
-1.75 < 1 1/2
Step-by-step explanation:
PLEASE HELP!
Find the measure of angle 7.*
Line R is parallel to Line S. The m<2 = 55º.
1. 55 degrees, because angle 2 and 7 are alternate exterior angles
2. 55 degrees, because angle 3. 2 and 7 are corresponding angles
4. 125 degrees, because angle 2 and 7 are alternate exterior angles
5. 125 degrees, because angle 2 and 7 are corresponding angles
Answers
HELP ME NOW1)
Sheila makes stuffed peppers. The model shows the ratio relationship for the ingredients.
Peppers
Cups of Rice
7
What is the ratio of cups of rice to peppers?
Choose all the correct answers.
fo
5:7
O 7:5
07:12
O 5 to 7
O 7 to 5
Answers
7 is the number of cups and 5 is the peppers
Answer:
3 and 5
Step-by-step explanation:
This isn't actually a math question I just wanted to know how do you become a tutor on here.
Answers
Answer:
you have to get to a certain rank and receive an invitation and then you submit a form
Step-by-step explanation:
12.5% of what number is 12?
Answers
Answer:
100.45
Step-by-step explanation:
Answer:
x = 96
Step-by-step explanation:
We have, 12.5%(x) = 12
or, 12.5/100(x) = 12
Multiplying both sides by 100 and dividing both sides by 12.5,
we have x = 12(100/12.5)
x = 96
simplify the expression 10x - 8x + 2 + 10
Answers
Answer:
2x + 12
Explanation:
10x - 8x = 2x, 2 + 10 = 12, so the simplified answer is 2x + 12
The diagram shows a rectangular prism being broken down to find its volume.
Which equation represents the prism's volume?
A. 24 units3 = 24 units3 ×124 units3 = 24 units3 ×1
B. 24 units3 =12 units3 ×224 units3 =12 units3 ×2
C. 24 units3 =8 units3 ×324 units3 =8 units3 ×3
D. 24 units3 = 6 units3 ×424 units3 = 6 units3 ×4
Answers
Answer:
C. 24 units3 =8 units3 ×324 units3 =8 units3 ×3
Which of the following is equivalent to cos(23∘)?
Answers
Answer:
0.9205
Step-by-step explanation:
Multiply 23 degrees times pi over 180
John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times the area of the old one. What was the length of the side of the old flower bed.
Answers
Answer:
4 ft.
Step-by-step explanation:
We can consider the orignial square's sides to be x, so area of the original figure: [tex]x^{2}[/tex]
The new rectangle's sides will be x and x+8, so the area of the new figure will be x^2+8x.
We know that the new area is 3 times the old one. So our equation will be:
x^2+8x=3x^2
our answer will be x=4.
Therfore, the length of the side of the old flower bed is 4 ft.
Applying the area of rectangle, an equation is created to find the length of the side of the old flower bed, which is: 4 ft.
What is Area of a Rectangle?Area = length × width.
Thus:
Let x represent the side of the square old flower bed
Area of old flower bed = x × x = x²
Dimensions of new rectangular flower bed:
Width = x
Length = x + 8
Area = 3(x²) = 3x²
Thus:
x(x + 8) = 3x²
x² + 8x = 3x²
8x = 3x² - x²
8x = 2x²
8x/2 = x²
4x = x²
4x/x = x²/x
4 = x
x = 4
Thus, applying the area of rectangle, an equation is created to find the length of the side of the old flower bed, which is: 4 ft.
Learn more about area of rectangle on:
https://brainly.com/question/25292087
You deposit $700 into a bank account. Every year that account increases by 5%.
Determine the Initial Value:
CAN ANYONE HELP ME PLZZZ
Answers
Answer:
i thank its. 140% not 100% sure
Find an expression which represents the sum of (10x−10y) and (−4x+6y) in simplest terms.
Answers
Answer:
Check pdf
Step-by-step explanation:
Write an integer to represent the following situations.
1. Loss of 5 kilograms
2. 10 degrees below zero
3. Overtime pay of 85.00
4. Spending P50.00
5. 12 years from now
Answers
Answer:
1. -5kg
2.-10 degrees
3. 85/-
4.50/-
5.12 yrs
Step-by-step explanation:
Loss - decressing so ( - )
Below - decressing so ( - )
Pay - overtime is more ( + )
Spending - giving more ( + )
Years - 12 more yrs from now
Which measure is equivalent to 1.5 kg?
1. 15 g
2. 150 g
3. 1500 g
4. 15,000 g
Answers
Answer:
number 2.) 1,500g
Step-by-step explanation:
i just know..
Mr. Martinez is having the half court circle in the gym repainted. They are
going to outline the circle in red. The inside of the circle will be painted
black. The circle has a diameter of 26 units.
3. To determine how much black paint to buy, he asks the custodian to
determine the area of the circle. What is the area of the circle to the
nearest hundredth of a square unit?
Area = TER?
Answers
Answer:
The area of the circle is 531.14 square unis
Step-by-step explanation:
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
where r is the radius of the circle
Given that the diameter of the circle = 26 units, the radius can be determined by;
r = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{26}{2}[/tex]
r = 13 units
So that,
Area of the circle = [tex]\frac{22}{7}[/tex] x [tex](13)^{2}[/tex]
= [tex]\frac{22}{7}[/tex] x 169
= 531.1429
The area of the circle is 531.14 square unis.
Which expression is equivalent to
Answers
[tex] \sqrt[9]{xy^{2} } [/tex]
this is the answer.
15. What is x to the nearest tenth?
А
2
62
44
C.c
B
78
A 37.5
B 52.5
© 75.0
D 103.0
Answers
Answer:
................
D 103.0