Answers
Answer:
The explanation is below.
Step-by-step explanation:
Given
C is the midpoint of [tex]\overline{AD}[/tex] and also C is the midpoint of [tex]\overline{EB}[/tex]
[tex]\overline{AC} = \overline{DC}\\ and\\\overline{BC} = \overline{EC}[/tex]
To Prove:
[tex]\angle A \cong \angle D[/tex]
Proof:
[tex]In\ \triangle ACB\ and\ \triangle DCE\\\overline{AC} \cong \overline{DC}\ \textrm{ C is the midpoint of AD}\\\angle ACD \cong \angle DCE\ \textrm{vertically opposite angles}\\\overline{BC} \cong \overline{EC}\ \textrm{ C is the midpoint of BE}\\\therefore \triangle ACB \cong \triangle DCE\ \textrm{ By Side-Angle-Side test}\\\therefore \angle BAC \cong \angle EDC\ \textrm{corresponding parts(angles) of congruent triangles}\\\therefore \angle A \cong \angle D\ \textrm{ Proved}[/tex]
Related Questions
Julie has 42 sheets of paper. She gives 17 sheets of paper to karo. How many sheets of paper does julie have now explained please help me
Answers
Answer:
25
Step-by-step explanation:
Subtract 17 from 42.
Answer:
42-17=25
Step-by-step explanation:
just subtract 17 from 42
A student answered three questions on a 40-percent test incorrectly. What percent did the student answer correctly
Answers
Answer:
The percentage of questions correctly answered by the student was 92.5%
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Number of questions incorrectly answered by the student = 3
Number of questions on the test = 40
2. What percentage did the student answer correctly?
Number of questions correctly answered by the student = Number of questions on the test - Number of questions incorrectly answered by the student
Replacing with the real values:
Number of questions correctly answered by the student = 40 - 3
Number of questions correctly answered by the student = 37
Now, let's calculate the percentage:
Percentage = Number of questions correctly answered by the student /Number of questions on the test * 100
Percentage = 37 /40 * 100
Percentage = 0.925 * 100
Percentage = 92.5%
Reduce each fraction:
144 over 168
Answers
144/168
reduce the fraction by dividing by 4
144/4= 36
168/4= 42
36/42 - reduce by dividing by 6
36/6= 6
42/6= 7
answer:
6/7
1/2 / 3 equals x / 4
Answers
Answer:
x=2/3
Step-by-step explanation:
(1/2)/3=x/4
(1/2)(1/3)=x/4
1/6=x/4
cross product,
6*x=1*4
6x=4
x=4/6=2/3
x=2/3
Duke went to the convenience store to buy a frozen pizza and some
toothpaste, and while he was in the checkout line, he also threw a ballpoint
pen and a banana into his shopping basket. Which two products were
impulse purchases?
A. The frozen pizza and the banana
O
O
B. The ballpoint pen and the toothpaste
C. The ballpoint pen and the banana
O
O
D. The frozen pizza and the toothpaste
Answers
Answer:
ballpoint pen and banana
Step-by-step explanation:
Gwen borrows $300 from her parents to buy a bike. She agrees to pay them back plus 3% simple interest over one year. Write an equation to represent the total amount Gwen will owe her parents. What is the total amount of money Gwen will owe her parents?
Answers
Answer:
$309
Step-by-step explanation:
Use the formula for simple interest: [tex]A = P(1+rt)[/tex]
A represents total amount, unknown in this case.
P represents principal, or starting amount, 300 in this case.
r represents the interest rate in decimal form, 3% in this case, or 0.03.
t represents time, usually in years, 1 in this case.
[tex]A = P(1+rt)[/tex]
[tex]A = 300(1+(0.03)(1))[/tex]
[tex]A = 300(1.03)[/tex]
[tex]A = 309[/tex]
Gwen will owe $309.
Jonah plants flower in garden. He plants 2 flowers in each row and 5 rows. DrAw an array to figure out how many flowers he has planted
Answers
##
##
##
##
each number sign is a flower. he planted 10 flowers.
27 points!! will mark brainliest ! thanks guys
Answers
Answer:
5417.412, 401.103
Step-by-step explanation:
In the first part we are given the following mathematical operation:
[tex]5 \times 10^{3} + 4 \times 10^{2} + 1 \times 10^{1} + 7 \times 10^{0} + 4 \times \frac{1}{10^{1} } + 1 \times \frac{1}{10^{2} } + 2 \times \frac{1}{10^{3} }[/tex]
= 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002
= 5417.412 (Answer)
In the second part we are given the following mathematical operation:
[tex]4 \times 10^{2} + 1 \times 1\frac{1}{10^{1} } + 3 \times \frac{1}{10^{3} }[/tex]
= 400 + 1.1 + 0.003
= 401.103 (Answer)
On Monday, Harold picked up five donuts and two large coffees for the office staff. He paid $ 5.08. On Tuesday, Melinda picked up two donuts and three large coffees for the office staff. She paid $ 4.10 What is the cost of one donut? What is the cost of one large coffee?
Answers
Answer:
x=0.64
y=0.94
Step-by-step explanation:
x price of one donut
y price of one large coffee
To determine x and y you have to solve this system:
5x+2y=5.08
2x+3y=4.10.
:)
if john can buy 8 liters of soft drinks at the store for $6.40 how much does it cost to buy 12 liters
Answers
Answer:
$9.60
Step-by-step explanation:
first figure out cost for 1 liter.
6.40 / 8 = 0.80
1 liter = $0.80
12 * 0.80 = 9.60
12 liter = $9.60
HELP!! ILL MARK BRANLIEST!!
Determine the approximate ordered pair for f(x) = g(x).
the graph of two linear functions negative 4 times x plus 15 times y equals negative 300 and 20 times x plus 4 times y equals negative 20
(−3, 9)
(−3, 8)
(3, −19)
(3, −8)
Answers
Answer:
3, -19 is the answer
Step-by-step explanation:
solved it
Answer:
Its D
Step-by-step explanation:
look above
change 5.25 to mixed number
Answers
Answer:
Step-by-step explanation:
5 1/4 or 525
Which is the simplified version of 7x+12+3x=-6(x-7)+9x ?
Answers
Answer:
x=30/7
Step-by-step explanation:
7x+12+3x=-6(x-7)+9x
10x+12=-6x+42+9x
10x+12=3x+42
10x-3x+12=42
7x+12=42
7x=42-12
7x=30
x=30/7
find c in the pic below
Answers
Answer:
A
Step-by-step explanation:
To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).
Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).
So that angle is 122.
The inside triangle angle (what we want) is adjacent to 122, so we can write:
Angle + 122 = 180 [straight angle/straight line is 180 degrees]
Solving for that angle, we have:
Angle = 180 - 122 = 58
Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).
Which trig ratio relates "opposite" and "hypotenuse"??
Yes, it is SIN. Thus we can write:
[tex]Sin(58)=\frac{Opposite}{Hypotenuse}=\frac{C}{20}[/tex]
We can now solve for C:
[tex]Sin(58)=\frac{C}{20}\\C=20*Sin(58)\\C=16.96[/tex]
Correct answer is A
what method can you use to calculate 40÷7 fast?
Answers
Answer:
Usally the fastest method to calculating a problem is to do it in your head. With enough practice your brain will be faster then most tools, ganing efficiency with practice.
Answer:
Step-by-step explanation:
In your head:
5 * 7 = 35 so its 5 point something with remainder 5.
7*7 = 49 so its 5.7 approximately.
What is the solution to the equation
2/3x+1/6=1
Answers
Answer:
x = 5/4
Step-by-step explanation:
We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.
[tex]\frac{2}{3}x + \frac{1}{6} = 1[/tex]
[tex]\frac{4}{6}x + \frac{1}{6} = 1[/tex] Give the fractions common denominators
[tex]\frac{4}{6}x + \frac{1}{6} - \frac{1}{6} = 1 - \frac{1}{6}[/tex] Subtract 1/6 from both sides
[tex]\frac{4}{6}x = 1 - \frac{1}{6}[/tex] 1/6 is cancelled out on the left side
[tex]\frac{4}{6}x = \frac{5}{6}[/tex] Simplify the right side
[tex]\frac{\frac{4}{6}x}{4/6} = \frac{\frac{5}{6}}{4/6}[/tex] Divide both sides by 4/6
[tex]\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}[/tex] Dividing is like multiplying by the flipped second fraction on both sides
[tex]\frac{24}{24}x = \frac{30}{24} [/tex] Simplify. 24/24 = 1 and reduce 30/24
[tex]x = \frac{5}{4} [/tex] Final answer
A triangle has two angles measuring 69 and 77. Determine the measure of the third angle b
Answers
Answer:
[tex]m\angle B=34\°[/tex]
Step-by-step explanation:
Given measures of 2 angles of a triangle :
m∠A = 69°
m∠C = 79°
Find m∠B.
We know that sum of angles of a triangle =180°
So, we have
[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]
Substituting the vales of m∠A = 69° and m∠C = 79°
[tex]69\°+m\angle B+77\°=180\°[/tex]
Adding like terms.
[tex]m\angle B+146\°=180\°[/tex]
Subtracting both sides by 146°.
[tex]m\angle B+146\°-146\°=180\°-146\°[/tex]
∴ [tex]m\angle B=34\°[/tex] (Answer)
there are about 9 billion devices(9×10 to the ninth power) connected to the Internet. If a wireless router can support 300 devices how many wireless routers are necessary to connect oh 9 billion devices wirelessly? Write in scientific notation.
Answers
3*10^7 routers will be needed for 9 billion devices
Step-by-step explanation:
Given
[tex]Total Devices = 9\ billion = 9*10^9\ devices\\[/tex]
1 router supports 300 devices
So we have to divide the total number of devices by the devices supported by 1 router to find the number of routers
So,
[tex]Total\ number\ of\ routers= \frac{Devices}{Devices\ with\ one router}\\=\frac{9*10^9}{300}\\=\frac{900*10^7}{300}\\=3*10^7\ routers[/tex]
Hence,
3*10^7 routers will be needed for 9 billion devices
Keywords: Routers, devices
Learn more about routers at:
brainly.com/question/10364988brainly.com/question/10435816#LearnwithBrainly
Mindy is saving money she started with $0 after six weeks she had $90 saved mindy is not sure exactly how much money she saved each week she assumes that she saved money at a constant rate from when she started saving money through week 6 what is the proportional relationship
Answers
The amount saved per week is $15 assuming a constant saving rate per week.
Initial amount = $0Final amount = $90Number of week, n = 6Assume she has saved at a constant rate ;
The amount saved per week will be : (Final amount - initial amount) / number of weeks ($90 - $0) ÷ 6$90 ÷ 6 = $15The amount saved per week is $15
Learn more : https://brainly.com/question/13218948
Final answer:
Mindy saved $90 over 6 weeks, suggesting a constant rate of saving $15 per week. The proportional relationship between her total savings (y) and the number of weeks (x) is y = 15x.
Explanation:
Mindy started with $0 and after six weeks had $90. To find the proportional relationship between the money saved and the number of weeks, we assume that she saves the same amount every week. Since we know the total savings and the total time, we can divide the total savings by the number of weeks to find the constant rate.
Mindy's weekly saving rate would be:
Calculate the total amount saved: $90.
Divide the total amount by the number of weeks: $90 ÷ 6 weeks.
The result is $15 per week.
Therefore, the constant rate of saving is $15 per week. The proportional relationship can be represented as y = 15x, where y represents the total amount saved and x represents the number of weeks.
michael mixes 60 ounces of red paint with 15 ounces of blue paint to get a shade of purple.what is the ratio of red paint to blue paint expressed in lowest terms?
Answers
Answer: 4:1
Step-by-step explanation:
Red paint = 60 ounces
Blue paint = 15 ounces
Ratio = 60/15 = 4/1 = 4:1 to the lowest term.
Question 7 of 25
2 Points
Give the slope of y- 3 = 4(x+8) and a point on the line.
O
A. The slope is 4 and (-8,3) is on the line.
O
B. The slope is 4 and (8, -3) is on the line.
O
C. The slope is 3 and (-8, 4) is on the line.
O
D. The slope is 8 and (3, 4) is on the line.
Answers
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 4(x + 8) ← is in point- slope form
with slope m = 4 and (a, b) = (- 8, 3) → A
Find the square root of (3√5-3)³
Answers
Answer: 76.36753237
Step-by-step explanation:
If you have trouble, you can always use Desmos Scientific calculator and get your answer straight away.
hello! could anyone help me on this one khan acadamy question. it is soooooooo hard for me to understand this lesson.
Answers
-1 / 4 = -0.25
1 / 3 = .3
-0.25 / .3 = -0.833333333.
Answer:
-3/4
Step-by-step explanation:
Susie wants to write equations in the form y=mx + b for the lines passing through
point R that are parallel and perpendicular to line s. First she finds the slope of lines
and line v to be and the slope of line t to be 3. Point R is located at (2, 2). Which
step could be used to find the y-intercepts?
Answers
Answer:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Substitute the slope and the coordinates of point R (2,2) in y=mx+b and then solve for b for each equation.
slope = –8, (1,4) in slope intercept form
Answers
Answer:
y= -8x-12
Step-by-step explanation:
y-4= -8(x-1)
-8x+8
+4= +4
y= -8x+12
Answer:
The correct answer on E2020 Is y=-8x(1,4)+y+8x+(1,4)
Hope this helps you!
(p.s:Please mark me as brainlyest!)
Step-by-step explanation:
I just took the test
BIG IDEAS MATH
Writing Expressions > Section Exercises 3.2 > Exercise 27
Write the phrase as an expression. Then evaluate when y = 20.
3 less than the quotient of a number y and 4
Expression:
When y=20, the value of the expression is
Basic
Write the phrase an expression. The evaluate when y=20
3 less than the quotient of a number y and 4.
Answers
Answer:
The required expression is [tex]\frac{y}{4}-3[/tex].
The value of the expression when y=20 is 2.
Step-by-step explanation:
Consider the provided phase.
3 less than the quotient of a number y and 4
The quotient of a number y and 4 can be written as: [tex]\frac{y}{4}[/tex]
Now 3 less than the quotient of a number y and 4 can be written as:
[tex]\frac{y}{4}-3[/tex]
Hence, the required expression is [tex]\frac{y}{4}-3[/tex].
Now evaluate when y=20.
Substitute y=20 in above expression.
[tex]\frac{20}{4}-3[/tex]
[tex]5-3[/tex]
[tex]2[/tex]
Hence, the value of the expression when y=20 is 2.
Please answer this correctly is the answer
2:29am
3:29am
1:35am
6:29am
Answers
Answer:
2:29 AM
Step-by-step explanation:
By the time the planes reaches California, the time, in Mountain time, is 14:89 AM or 3:29 AM. From the mountains to the Pacific, the time goes back by 1 hour. 3:29 - 1 hour is 2:29 AM.
What is the product of 4.23 and 1.2
Answers
Answer:
its 5.08
Step-by-step explanation:
the local pet store receives a shipment of tropical fish 75% of the tropical fish were clownfish if the shipment includes 60 clownfish how many total tropical fish were in the shipment
Answers
Answer:
105
Tropical fish:75%
60 clownfish included in shipment
Step 1 :Multiply 75%×60
Step 2:Simplify 60×75÷100=6×75/10=450/10=45
Step 3:Add 60+45=105
prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1
Answers
Step-by-step explanation:
sin(x−y) / (cos x sin y)
Use angle sum/difference formula:
(sin x cos y − sin y cos x) / (cos x sin y)
Divide:
(sin x cos y) / (cos x sin y) − 1
Rearrange:
(sin x / cos x) (cos y / sin y) − 1
Simplify:
tan x cot y − 1