Answers
Answer:
Step-by-step explanation:
Given: i. AB||DE
ii. AC≅DC
Prove: ΔABC≅ΔDEC
From the two triangles, it can be observed that;
m<BAC≅m<EDC (alternate angles)
m<ABC≅m<DEC (alternate angles)
m<BCA≅m<ECD (vertically opposite angles)
m<BAC + m<ABC + m<BCA = m<EDC + m<DEC + m<ECD = [tex]180^{o}[/tex] (sum of angles in a triangle)
Since the three angles of the triangles are congruent respectively, then;
ΔABC≅ΔDEC (AAA congruence property)
Related Questions
Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
yˆ=1.87x2+5.16x+10.54
yˆ=1.87x2+5.16x
yˆ=1.87x2−5.16x+10.54
yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7
Answers
9514 1404 393
Answer:
(c) y = 1.87x^2 -5.16x +10.54
Step-by-step explanation:
The attached graphing calculator output shows the best choice is the third one.
__
Additional comment
The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.
Answer:
yˆ=1.87x^2−5.16x+10.54 is correct for all future users
Step-by-step explanation:
A table shows a proportional relationship where k is the constant of
proportionality. The rows are then switched. How does the new constant of
proportionality relate to the original one? *
Answers
Stan drove 90 miles in 2 hours at that rate how long will it take hime to drive 270 miles
Answers
Answer:
6 hours
Step-by-step explanation: I passed 5th grade and know my multiplication
PLS help me
if you get it right i will give brainliest
Answers
What school subject is a witch good at?
Answers
Answer:
Spelling
Explanation:
Not gonna bother explaining the joke, I'm not that boring.
Jeremy is plotting a line with a slope of 3. He starts by plotting the point (-4,-3). He then plots a second point on the line 6 units to the right, and k units up. His value of k must be a. 9 b. 18 c. 2 d. 24
Answers
Answer:
27
Step-by-step explanation:
Slope = 3
(-4, - 3) (6, k)
(y2 - y1) /(x2 - x1) = 3
(k + 3) / (6 + 4) = 3
(k +3) / 10 = 3
k + 3 = 30
k = 30 - 3
k = 27
Find the value of x and y.
Answers
Answer:
X=63 y=27
Step-by-step explanation:
X and 117 are on a straight line. All straight lines = 180 degrees.
180 - 117 = 63
90 - 63 = 27
Use the rules of significant figures to simplify the following expression: 47.2 - 6
Answers
Answer:
41.2
Step-by-step explanation:
4+8 890-5+764+88=765678987654
Answers
Answer:
no its 1749
Step-by-step explanation:
Use the distributive property to rewrite each expression. -5(3-h)
Answers
Answer:
−15+5h
Step-by-step explanation:
Answer:
-15 + 5h
Step-by-step explanation:
-5( 3 - h)
(-5*3) (-5*-h)
-15 + 5h
Hope this helps!
Find x and y so the quadrilateral is a parallelogram.
Answers
Answer:
Summary:
The value of x = 7 The value of y = 4Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other.
As
The parallelogram PQRS is given, so
RT = TP
Given
RT = xTP = 5x-28plug in RT = x and TP = 5x-28 in the equation RT = TP
RT = TP
x = 5x-28
switch the sides
5x-28 = x
adding 28 in both sides
5x-28+28 = x+28
simplify
5x = x+28
subtract x from both sides
5x-x = x+28-x
4x = 28
divide boh sides by 4
4x ÷ 4 = 28 ÷ 4
simplify
x = 7
Therefore, we conclude that the value of x is: x = 7
Similarly,
QT = TS
Given
QT = 5yTS = 2y+12plug in QT = 5y and TS = 2y+12 in the equation QT = TS
QT = TS
5y = 2y+12
subtract 2y from both sides
5y - 2y = 2y+12-2y
simplify
3y = 12
divide both sides by 3
3y ÷ 3 = 12 ÷ 3
simplify
y = 4
Therefore, we conclude that the value of y is: y = 7
Summary:
The value of x = 7 The value of y = 4Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?
Answers
Answer:
[tex]\$100 = 8200\ Yen[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Step-by-step explanation:
Given
[tex]\$ 1 = 82\ Yen[/tex]
Solving (a): Equivalent of $100
Represent this with x.
So, we have:
[tex]\$100 = x[/tex] and
[tex]\$ 1 = 82\ Yen[/tex]
Cross Multiply:
[tex]x * \$1 = 82\ Yen * \$100[/tex]
[tex]x * 1 = 82\ Yen * 100[/tex]
[tex]x = 8,200\ Yen[/tex]
Hence:
[tex]\$100 = 8200\ Yen[/tex]
Solving (b): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 10
[tex]10 *\$100 = 8200\ Yen * 10[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
Solving (c): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 100
[tex]100 *\$100 = 8200\ Yen * 100[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answers
Answer:
B
Step-by-step explanation:
Jamie is helping out in the school library. He needs to figure out how many shelves the library staff should order for a new reading corner. There are 378 books for the reading corner. Each shelf holds 50 books. The librarian wants to put all the books on shelves. How many shelves should the library order?
Answers
Answer:
8 shelves
Step-by-step explanation:
First do 378 divided by 50 then you when you get your answer (with remaining numbers) you add one more book case so 378 divided by 50 is 7 then you have a remainder 28 so add another shelf which is now 8 shelves!
Do this for a lot of points and brainly!!! Asap
Answers
Answer:
(-4,1)
Step-by-step explanation:
you can choose any point on the line
what is the rate of change ?
y=-5x-3
Answers
Answer:
the rate of change is -5.
Step-by-step explanation:
y = -5x - 3
-5 = rate of change
-3 = x intercept
The rate of change is -5
Step by step explanation
Y=5x-3
-5=rate of change
-3=x intercept
Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
What is the least number of days after Monday that Joseph needs to run to reach his goal?
Answers
Answer:
Step-by-step explanation:
At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.
To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.
3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles
what is 2/3 ÷ 3/4 I really need help
Answers
Answer:
8/9
Step-by-step explanation:
2/3 ÷ 3/4
2*4/(3*3)
8/9
Pls
Help!!!!!
Directions: Find all missing angles.
Answers
Answer:
m<1 = 87°
m<2 = 45°
m<3 = 45°
m<4 = 52°
Step-by-step explanation:
Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.
So, angles 2 and 3 equal 45°.
Now that we have two angle measures, we can find the measure of the third angle.
45 + 48 = 93°
180 - 93 = 87°
Angle 1 equals 87°.
45 + 83 = 128°
180 - 128 = 52°
Angle 4 equals 52°.
Hope that helps.
(2x - 5), (2 +30), and (2x – 5)
Solve for x
Answers
What would you call the shape of this formula (C3H8)
Answers
An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.
PLEASE HELP!!!!!!!!!!!!!!!!
Answers
Answer:
Step 2
Step-by-step explanation:
Don't Question It
PLEASE help me with this!
Answers
The easiest way is to find a point within the shaded region and test out the equation.
Pls help me. It due ASAP...
Answers
Answer:
b
Step-by-step explanation:
h(n) = 3^n+3; Find h (3n)
Answers
Answer:
[tex] h(3n) = 27^{n}+3 [/tex]
Step-by-step explanation:
[tex]h(n) = 3^n+3 \\ \\ plug \: n = 3n \\ \\ h(3n) = 3^{3n}+3 \\ \\ \red{ \bold{ h(3n) = 27^{n}+3 }}[/tex]
y = 2x + 4.6
m = ____ b = ____
fill in the blank !!!
Answers
Answer:
m = 2, b = 4.6
Step-by-step explanation:
The slope intercept formula is y = mx + b, So you can substitute for the values given.
Question 6 Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
20
16
12
8
4
1
2
3
5
-5 -4 -3 -2 -1 0
4
-8
-12
-16
-20
y = a + x
y = 1 X
y = 4 + x
y = 4x
Answers
Answer:
The equation of the graph is;
y = 4·x
Step-by-step explanation:
The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;
(-3, 12), and (2, 8)
The slope, m, of the straight line graph is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substitution of the values, we have;
[tex]Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4[/tex]
The equation of the graph in point slope form is therefore;
(y - 8) = 4×(x - 2)
y = 4·x - 8 + 8 = 4·x
y = 4·x.
Find the length of Segment JM.
Answers
Hello!
[tex]\large\boxed{JM = 8 \text{ units } }[/tex]
As solved in the previous question:
2x - 4 = 4x - 16
x = 6
Plug in this value of x into the expression for JM:
4(6) - 16 =
24 - 16 = 8 units.
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answers
Answer: 9:4
Step-by-step explanation:
I think
What is One-third of Four-fifths?
One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths
