The triangles can be proven similar by the congruent theorem of triangles
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the two triangles be ABC and DEF
Now , the two triangles will be similar if
The three sides are equal
So , AB = BC = CD and
DE = EF = FD
And the two triangles are congruent if
By ASA theorem - two angles are the same and a corresponding side is the same
And ,
By SAS theorem : Two sides are equal and the angle between the two sides is equal
And ,
By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal
Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF
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A box contains 2 red marbles 3 green marbles and 3 blue marbles if we choose a marble then another marble without putting the first one back in the box what is the probability that the first marvel will be green and the second will be blue
Answer: 9/56
Step-by-step explanation:
Solve each single-step equation. Show your work. a -2 + 3 = -2
Answer:
a=−3
Step-by-step explanation:
a−2+3=−2
Step 1: Simplify both sides of the equation.
a−2+3=−2
a+−2+3=−2
(a)+(−2+3)=−2(Combine Like Terms)
a+1=−2
a+1=−2
Step 2: Subtract 1 from both sides.
a+1−1=−2−1
a=−3
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
PLZ answer fast its an emergancy
Answer:
5/11*5/11=25/121
Step-by-step explanation:
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
3 1/4 divided by 1 1/4 =
Answer:
2.6, 2 3/5, 2 6/10
Step-by-step explanation:
2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.
camille has save php 3,150.00 in the past three month.if the bike cost Php9,000.00,what percent of the cost of the bike has he saved??
Answer:
the percent of her saving to the price of the bike is 35%
Mr. Twain asked the students in his class to draw the figure below using a scale factor
2 in.
3.1 in.
3.9 in.
4.5 in.
Student
Response
5 in.
Mark
Samantha
6 in.
Divia
1.3 in.
Cheng
0.9 in.
Candice
11.7 in.
Select all students that answered Mr. Twain's question correctly.
Answer:Mark
Step-by-step explanation:Diva
Answer:
Samantha and Candice
Step-by-step explanation:
In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.
100 POINTS! SHOW WORK!
Given : MO bisects
Answer:
[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:disectsequationPEMDAStips and formulas:disects divide an angel to two equal angleslet's solve:[tex] step - 1 : define[/tex]
[tex]\text{according to the question}[/tex]
[tex] \sf5x - 22 = x + 31[/tex]
[tex] step - 2 : solve[/tex]
[tex] \sf \: add \: 22 \: to \: both \: sides : \\ \sf5x - 22 + 22 = x+31+22\\ \sf 5x=x+53[/tex][tex]\sf\text{ cancel x from both sides}\\ \sf 5x-x=x-x+53\\ \sf 4x=53[/tex][tex] \sf divide \: both \: sides \: by \: 4 \\ \sf \frac{4x}{4} = \frac{53}{4} \\ \sf x = 13.25[/tex]If MO bisects <LMN then m<LMN=2m<LMO
[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]
[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]
[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]
[tex]\\ \sf\longmapsto 3x=84[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
Explain answer !
( Will give brainlst)
Answer:
I think that the answer is m= -5/4
Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?
Answer:
Step-by-step explanation:
1.25p=6600
p=6600/1.25
p=5280
What is the data correlation in the scatter plot below?
Negative
No correlation
Positive
Consider the graph of the function f(x) = e^x
Answer:
The y intercept is positive 1 because that's where the graph crosses the y axis.
Answer:
Horizontal Asymptote of y= -7
Step-by-step explanation:
Mrs.Kim wants to share the stickers equally with each of her students. there are 32 students in here class
100 points for this
Answer:
Ok... what's the question
Step-by-step explanation:
Answer:
anwser= 8 she will have 0 left
Step-by-step explanation:
each student gets 8 stickers
:)
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answer:
answer is 3 3/20
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
Can y’all help me a question 25?!
Answer:
19.8839 miles away
Step-by-step explanation:
:)
Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!
Step-by-step explanation:
the answer is in the attachment
The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.
The graph of y= 5(x + 1)²– 3The equation y = 5(x + 1)² - 3 represents a quadratic function.
The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.
The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.
The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.
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From the list of these numbers 3,5,7,12,15,18,20
What is a factor of 10
An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.
Answer:
$7700
Step-by-step explanation:
As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700
$5000 initial + $2700 interest = $7700
EDIT:
It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.
6% interest is $300 per year
$300÷12= $25 per month
$25 x 9 months = $225
$5000 initial plus $225 interest = $5225 total
How so you solve -5r+2r is greater than 54
Answer:
r < -18
Step-by-step explanation:
-5r+2r is greater than 54 can be written symbolically as:
-5r+2r > 54
Combining the r terms, we get:
-3r > 54
Solving this result for r requires reversing the direction of the inequality sign:
r < -54/3, or r < -18
Answer:
r < -18
Step-by-step explanation:
[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]
We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.
Hope this helps.
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
Answer:
4
Step-by-step explanation:
combine like terms 15r-6r=9
9=36
divide both sides by 9
=4
ANSWER TO NUMBER 3 FIRST PERSON GETS BRAINLIEST!!
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
please help me find the value of x
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone Rin terms of the radius of cylinder r is:
Answer: R = √(3*r^2)
Step-by-step explanation:
For a cylinder with radius r and height H, the volume is:
V = pi*r^2*H
For a cone of height H, and with a base of radius R, the volume is:
V = (1/3)*pi*R^2*H
In this case, we know that both figures have the same height, and the same volume, then we can write:
pi*r^2*H = (1/3)*pi*R^2*H
Now we can divide by pi in both sides to get:
(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi
r^2*H = (1/3)*R^2*H
Now we can divide both sides by H:
(r^2*H)/H = ((1/3)*R^2*H)/H
r^2 = (1/3)*R^2
Now we want to write R in terms of r.
Then we need to isolate R in the above equation:
r^2 = (1/3)*R^2
3*r^2 = R^2
√(3*r^2) = R
R = √(3*r^2)
Jason bought 6 CDs to add to his collection. A week later he dropped half of his total collection in a pond. He only had 12 CDs left. How many CDs did he start with?
Answer:
24 CDs
Step-by-step explanation:
if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...
if I get it wrong my bad its 2 am
Answer:
Jason starts with 18 CDs
Step-by-step explanation:
12 x 2 = 24
24 - 6 = 18
Algebra quadrilateral dklm is a rhombus if dk=8, find kL
1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:
A. skewed left
B .symmetrical
c skewed right
D. No answer text provided.
2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:
A. skewed left
B. symmetrical
C. skewed right
D. No answer text provide
3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices
A.skewed left
B. symmetrical
C. skewed right
D. No answer text provided.
Answer:
1. Skewed to left (negative)
2. Right skewed (positive)
3. Symmetric
Step-by-step explanation:
Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?
Answer:
Bill has $21.
Step-by-step explanation:
There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.
Please help! Will give Brainly
Answer:
a 35
Step-by-step explanation:
What is the percent increase from 40 to 64
Answer:
60 percent
Step-by-step explanation:
Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.
