Given ABCD is a parallelogram Prove AB CD and BC DA. Assemble the proof by dragging tiles to the statements and reasons column
ON EDG
Answer:
Just did this problem! Hope it helps
The proofing that ABCD is a parallelogram is done using parallelogram side theorem.
What is parallelogram side theorem?parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.
As, ABCD is a parallelogram.
So, BAC and DCA are alternate interior angles.
Also, AB||CD and BC||DA.
then, BCA and DAC, are alternate interior angle.
Now In ABC and CDA
BAC= DCA (proved above)
BCA= DAC (proved above)
AC= AC (Common)
By ASA congruency criteria,
ΔABC≅ ΔCDA
Hence, AB= CD and BC= DA (cpctc)
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1.Round off 378811 to the nearest hundreds,thousands and ten thousand
2.Round off 267988 to the nearest hundreds,thousands and ten thousand
3.Round off 250260 to the nearest hundreds,thousands and ten thousand
4.Round 196596 to the nearest hundreds,thousands and ten thousand
5.Round off 193171 to the nearest hundreds,thousands and ten thousand
Given:
The numbers are 378811, 267988, 250260, 196596, 193171.
To find:
The approximate value of the given numbers to the nearest hundreds, thousands and ten thousand.
Solution:
The required values shown in the below table:
Numbers Nearest hundreds Nearest thousands Nearest ten thousand
378811 378800 379000 380000
267988 268000 268000 270000
250260 250300 250000 250000
196596 196600 197000 200000
193171 193200 193000 190000
Write the equation of the line that goes through points (0, 4) and (6, 16).
Answer:
y = 2x + 4
Step-by-step explanation:
(x₁ , y₁) --> (0 ,4) & (x₂ , y₂) = (6 , 16)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{16-4}{6-0}\\\\=\frac{12}{6}\\\\m = 2[/tex]
(x₁ , y₁) --> (0 ,4)
y - y₁ = m(x - x₁)
y - 4 = 2(x - 0)
y - 4 = 2x
y = 2x + 4
find the sum (12p+9) + (4p-3) please help me
In order for the parallelogram to
be a square, x = [?].
4x + 17
12x - 23
Answer:
x = 5
Step-by-step explanation:
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
8 8
5 = x
The value of x should be 5.
What is parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
As, to from the square using the dimension of parallelogram the value of x should be 5
as the side of square is equal.
4x + 17 = 12x - 23
23 + 17 = 12x - 4x
40 = 8x
5 = x
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(41/3-12/4) divided 4/15
Answer: 40
[tex]\frac{41}{3} -\frac{12}{4} =\frac{41(4)-12(3)}{12} =\frac{164-36}{12} =\frac{128}{12} =\frac{32}{3}\\\\\frac{\frac{32}{3}}{\frac{4}{15} } =\frac{32}{3}*\frac{15}{4} =\frac{8(4)}{3}*\frac{5(3)}{4}=40[/tex]
An ice cream shop uses the following ingredients to make 1 sundae.
Ingredient Amount
Ice cream 2 scoops
Sprinkles 4 spoonful's
Whipped cream 2 tablespoons
How many sundaes did the shop make if they used 32 spoonfuls of sprinkles?
Pleaseee help :( Its about ratios :( :0
Answer:
8 sundaes
4:32
.......
.......
...
Step-by-step explanation:
To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.
Which of the following statements must be true based on the diagram below?
(Diagram is not to scale.)
Answer:
i dont know
Step-by-step explanation:
i dont kow
.
A football is punted from a height of 2.75 ft above the ground, with an initial velocity of 48 feet per
second. The motion of the football can be modeled by the equation h = -16t2 + 48t +2.75, where
h represents the height of the football, in feet, and t represents the timelin seconds.
If the football is caught 5.25 ft above the ground, approximately how long did it remain in the air?
Roundyour answer to the nearest hundredth of a second.
Answer:
Step-by-step explanation:
The position function for this is given as
[tex]h(t)=-16t^2+48t+2.75[/tex] where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.
[tex]5.25=-16t^2+48t+2.75[/tex] and set this equal to 0:
[tex]-16t^2+48t-2.5=0[/tex] and factor.
When we factor we get
t = .05 and t = 2.95 in seconds.
That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.
A manufacturer receives a shipment of 100 parts from a vendor. The shipment will be unacceptable if more than five of the parts are defective. The manufacturer is going to randomly select K parts from the shipment for inspection, and the shipment will be accepted if no defective parts are found in the sample. How large does K have to be to ensure that the probability that the manufacturer accepts an unacceptable shipment is less than 0.1? Hint: We recommend using R to plug in different values of K.
A. 42
B. 22
C. 32
D. 12
Answer:
C. 32
Step-by-step explanation:
The shipment for 100 parts is received by a manufacturer. Shipment will be rejected if more than 5 parts are defective. The manufacturer selects a sample and based on that selected sample he accepts or rejects the whole shipment. The minimum size of the sample should be 32 based on the probability of less than 0.1 and then decision should be made whether to accept or reject the shipment. If no defective part is found in the sample, shipment should be accepted.
Instructions: Point T is the centroid. Find TE if XE= 21.
Answer:
TE = 7
Step-by-step explanation:
The centroid divides a median in this ratios 1/3 and 2/3. In particular
XT = 2/3 XE
XT = 2/3 * 21
XT = 14
TE = 7
Please help!!
Martha works at a small jewelry store. She designs 2 rings in the first hour. Every additional hour, she designs 3 new rings.
Select all the functions that can be used to find the number of rings, r(n), she designs in n hours.
Answer:
2nd option and 4th option, other functions don't apply, remember r(1) can't be 3 since the she designs 2 rings in the first hour.
Answered by GAUTHMATH
Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown.
On a coordinate plane, triangle M N P has points (negative 4, 6), (2, 6), and (negative 1, 1).
What are the coordinates of the endpoints of segment M'N'?
M'(-6, 9) and N'(4, 9)
M'(-6, 9) and N'(3, 9)
M'(-2, 3) and N'(7, 9)
M'(-2, 3) and N'(1, 3)
Given:
The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).
The rule of dilation is:
[tex](x,y)\to (1.5x,1.5y)[/tex]
The image of triangle MNP after dilation is M'N'P'.
To find:
The coordinates of the endpoints of segment M'N'.
Solution:
The end points of MN are M(-4, 6) and N(2, 6).
The rule of dilation is:
[tex](x,y)\to (1.5x,1.5y)[/tex]
Using this rule, we get
[tex]M(-4,6)\to M'(1.5(-4),1.5(6))[/tex]
[tex]M(-4,6)\to M'(-6,9)[/tex]
And,
[tex]N(2,6)\to N'(1.5(2),1.5(6))[/tex]
[tex]N(2,6)\to N'(3,9)[/tex]
The endpoints of M'N' are M'(-6, 9) and N'(3, 9).
Therefore, the correct option is B.
Answer:
B on edge
Step-by-step explanation:
What is the slope of the line passing through the points (-3,
-5) and (-1, - 6)?
Answer:
-1/2
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -6 - -5)/( -1 - -3)
= ( -6+5)/( -1+3)
=-1/ 2
Solve the following proportion.
х
42
35
10
Answer:
12
Step-by-step explanation:
The proportion is equal to [tex]\frac{x}{10}=\frac{42}{35}[/tex]
We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get
[tex]60=5x[/tex]
Dividing both sides by 5, we have the answer as
[tex]x=12[/tex]
If I need to drive 50 hours in 3 months, how many minutes would I need to drive a day?
Multiply: -14(y+11)
Answer:
-14y -154
Step-by-step explanation:
Multiply -14 and y = -14y
Multiply -14 and 11 = -154
Answer:
[tex]-14\left(y+11\right)[/tex]
[tex]=-14y+\left(-14\right)\cdot \:11[/tex]
[tex]=-14y-14\cdot \:1[/tex]
[tex]=-14y-154[/tex]
OAmalOHopeO
In a quiz, team A secured -5,6,2 and team B secured 6, 5,-2 in three successive rounds. Which team secured more?
a)Team A
b)Team B
c)Both secured same
d)Not possible to say
Answer:
i think b
because -5 and -2
What is the slope of a line with points (5, 1) and (8,3)?
A. m= 3/2
B. m=2/3
C. m=-3/2
D.m=-2/3
Answer:
2/3
Step-by-step explanation:
If we know two points we can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 3 -1)/(8 - 5)
= 2/3
Add-ons Helplast edit was seconds ago
10 BI VA
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GO
5
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E A monthly service fee to download ebooks is $4.96 plus $3.99 per book downloaded White an
equation that represents the total cost, c, in a month when books are downloaded Explain how
yos gation represents the greem
Graph
Create a graph for
select the right one
Answer:
W
Step-by-step explanation:
9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9
Which points have an x value less than zero? (last answer choice says (D,J,E)
Answer:
CDJ
Step-by-step explanation:
Answer:
Choice C. C,D,J
Step-by-step explanation:
When it asks for x-values less than zero (x<0), a point that lies on the y-axis is not included.Every other option has a point lying on the y-axis or greater than zero.Find the measure of each angle indicated.
A) 75°
C) 67°
B) 114 °
D) 107°
==========================================================
Explanation:
Refer to the diagram below. I've added the variables x, y and z. The goal is to find x. For now, let's find y.
Focus on the larger triangle. The three angles of any triangle must add to 180.
46+64+y = 180
110+y = 180
y = 180-110
y = 70
----------------------
Next, we'll find the angle z
The three angles y = 70, 49, and z all form a straight angle of 180 degrees.
y+49+z = 180
70+49+z = 180
119+z = 180
z = 180-119
z = 61
---------------------
Now we can find angle x. Focus on the smaller triangle
z+52+x = 180
61+52+x = 180
113+x = 180
x = 180-113
x = 67 which points us to choice C as the final answer.
Which expression is equivalent to 1/27?
Answer:
D 3^3 *3^-7
Step-by-step explanation:
1/27 = 1/3^3 = 3^-3
When multiplying with the same base, add the exponents
A 3^1 * 3^-10 = 3^-9
B 3^-1 * 3^10 = 3^9
C 3^-4 * 3^7 = 3^3
D 3^3 *3^-7 = 3^-3
a rectangular field is 5x meters long and 2x m wide. if its perimeter is 140cm what is its area?
Answer:
1000 cm²
Step-by-step explanation:
perimeter = 2 * length + 2 * width
2 * 5x + 2 * 2x = 140
10x + 4x = 140
14x = 140
x = 10
Length: 5x = 5(10) = 50
Width: 2x = 2(10) = 20
area = length * width
area = 50 cm * 20 cm
area = 1000 cm²
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3x^2
Answer:
C) it will get narrower
Step-by-step explanation:
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Remark
This is a regular pentagon. The information given is enough the find the area of 1 triangle. There are 5 such triangles. So find the area of 1 of the triangles. The answer will be 5 times as much.
Givens
b = 18.3
h = 12.6
Formula
1 triangle = 1/2 * b * h
5 such triangles = 5 times as much
Solution
Area(1_triangle) = 1/2 * 18.3 * 12.6
Area (1_triangle) = 115.29
Answer: 5 * 115.29
Answer: 576.45
please help me solve this answer, it is really crucial
Answer:
Parabolas have an axis of symmetry. If we assume that x=2 is that axis of symmetry, them that must mean the x values -2 and 6 should have the same y values, which they don't, thus an equation is not possible.
Decrease 1500goats by 20%
A 1200
B 300
C 1800
D 900
Answer:
A
Step-by-step explanation:
1500 goats represent 100%
but 100% = 5*20%
1500 = 5*300 so 20% =300
a decrease by 20% is 1500-300 = 1200
3 9. There are 180 girls in a mixed school. the ratio of girls to boys is 4:3 find the otal number of students in the school (a) 25 students (b) 315 students (c) 360 students 405 students of the binary numbers:
The ratio 4:3 means for every 4 girls there are 3 boys.
Divide total girls by 4, multiply that by 3 to get total boys:
180/4 = 45 x 3 = 135
There are 135 boys
For total students add boys and girls:
180 + 135 = 315 total students
