Answers
Given:
The two triangles are similar by SSS.
To find:
The value of x.
Solution:
If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.
It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
On cross multiplication, we get
[tex]3(x+1)=2(3x-3)[/tex]
[tex]3x+3=6x-6[/tex]
[tex]3x-6x=-3-6[/tex]
[tex]-3x=-9[/tex]
Divide both sides by -3.
[tex]x=3[/tex]
Therefore, the value of x is 3.
Related Questions
find m the in this screenshot
Answers
Answer:
[tex]x + x + 4 + 3x - 9 =90 \\ 5x = 95 \\ x = 19 \\ \\ gjh = 19 + 4 = 23[/tex]
Solve 8y - 9 = -3y + 2
Answers
Answer:
y=1
Step-by-step explanation:
8y-9=-3y+2
-2
8y-11=-3y
-8y
-11=-11y/-11
Answer:
y=1
Step-by-step explanation:
8y+3y=2+9
11y/11=11/11
y=1
Solve for x.
please help real quick
Answers
Answer:
(7/2, 0)
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
6x-21=45
6x=66
x=11
find the volume of this shape please helppp
Answers
.
[tex] = 1.540 \: {cm}^{3} [/tex]
.
Explain.
Use this formula :
[tex] = \pi \times {r}^{2 } \times t[/tex]
[tex] = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ [/tex]
[tex] = \frac{22}{7} \times {7}^{2} \times 10 \\ [/tex]
[tex] = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ [/tex]
[tex] = 22 \times 7 \times 10[/tex]
[tex] = 154 \times 10[/tex]
[tex] = 1.540 \: {cm}^{3} [/tex]
.
#LearnWithBrainly
gak bisa bahasa inggris :(Jayden went to the shop and bought and orange juice for $150 and a bun for $90 . He told the shopkeeper he didnt want any coins below $10.00 nor did he want any one hundred dollar notes.
Jaydens Change included?
Answers
Answer:
give 300 and get back 60?
Step-by-step explanation:
Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle ABC is the right triangle.
m∠A = 42°
What is m∠B?
A. 38°
B. 42°
C. 48°
D. 128°
Answers
Answer:
C m∠B = 48°
Step-by-step explanation:
The acute angles of a right triangle are complementary which means their sum is 90
m∠A + m∠B = 90
42 + m∠B = 90
m∠B = 48°
In triangle ABC, B = 120°, a = 10, c = 18
Find angle C
choices
A. 40°
B. 50°
C. 45°
D. 20°
Answers
Answer:
kk
Step-by-step explanation:
PLEASE HELP! ASAP I WILL GIVE BRAINLIEST
This table represents the monthly fees for checking accounts at two banks.
Which statement is best supported by the information in the table?
The fee at Sunset Bank will always be less than the fee at Oceanview Bank.
The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is less than $200.
The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is more than $200.
The fee at Sunset Bank will always be more than fee at Oceanview Bank.
Answers
Answer:
the fee at sunset bank will always be more than fee at Oceanview bank.
Answer:
D
Step-by-step explanation:
i got it correct and go to k-12
pls pls pls help me giving brainlist
Answers
Answer:
The first one is a similie
second is a metaphor
Step-by-step explanation:
like ice means like a hatred glare
the hug is a a good thing thats
happens on a bad dat
Answer:
simile
the referee was angry
metaphor
they have a lot of love for each other
Step-by-step explanation:
please mark me branliest
what are the components of a proofs in proving that two triangle are congruent?
Please answer it i need now i will follow,br,ainlist,thanks.
Answers
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Step-by-step explanation:
The company Apple is worth approximately 8×10^9 dollars. The company Jackson Avenue Coffee is worth approximately 2×10^5 dollars. How many times bigger is Apple's worth than Jackson Coffee's worth?
Answers
Answer:
35
Step-by-step explanation:
Find the missing length. The triangles in each pair are similar.
Answers
Answer:
Step-by-step explanation:
This a not so simple ratio problem:
MN is to LN as TN is to UN as MT is to LU
MN/LN = TN/UN = MT/ LU trying to find LU
88 / (? + 32) = (88-56)/32 = 56/?
= 32 / 32 = 56 / ?
1 = 56 / ?
? = 56
88 / (56 +32) = 1 This must be an Isosceles triangle and UT bisects
LN and MN
Please I really need help with this
Answers
144+X^2=400
X^2=400-144
X^2=256
X=16
Answer:
x=16
I used Pythagorean theorem.
Step-by-step explanation:
Tell me if you have more questions or want to know how I solved it.
Have a nice day!
and can I maybe have brainliest? Thanks!
What is the median of the following data set?
{5, 2, 9, 7,4}
A.5
B.7
C.8
D.9
Answers
Answer:
5
Step-by-step explanation:
The median of all the answers equal up to 5.
A rectangular flower garden in Samantha's backyard has 300 feet around its edge. The width of the garden is 70 feet.
Answers
Graph a direct variation function that goes through the point (-2, -6). what is the slope
Answers
Answer:
The slope is 3.
Step-by-step explanation:
A direct variation function will always go through the origin point (0, 0).
Therefore, we have the two points (0, 0) and (-2, -6).
We can use the slope formula to find the slope:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute and evaluate:
[tex]\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3[/tex]
Therefore, the slope of the function is 3.
To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.
Answer:
y = 2/3x - 3
Slope: 2/3x
Step-by-step explanation:
Slope: 2/3x
y- intercept: (0,-3)
once it goes down it'll be -2/-3x which will go to through (-2,-6) as soon as it goes down from the y-intercept.
equation: y = 2/3x - 3
24 is what percent of 400?
Answers
Answer:
The answer is 6%
Answer:
6%
Step-by-step explanation:
tell me if I’m wrong lol
Please help no link as answers
Answers
Step-by-step explanation:
You can imagine this figure as a rectangle and cube
If you want volume of this irregular figure than you have to do it like this:
V(figure)= V(rectangle)+ V(cube)
V(figure)= a*b*c+ a³
V(figure)= 4*3*(I don't see dimension on the left)+ 3³
V(figure)=12*(I don't see dimension on the left)+ 27
And only you have to to do is to set this dimension which I can't see.
Find an expression in its simplest form for the perimeter of this shape
Answers
Answer:
(18p + 18)
Explanation:
the perimeter of the shape is the sum of all its sides. we are given the individual lengths of all the sides except for the horizontal one at the bottom and the vertical one between (2p + 5) and (3p + 4), but they can easily be calculated using the other values.
the horizontal length at the bottom is the sum of (2p + 5) and (3p + 4), or (5p + 9).
the vertical length is the difference between 4p and 2p, which is 2p.
now, we can add all of these values together:
4p + (2p + 5) + 2p + (3p + 4) + 2p + (5p + 9)
= 4p + 2p + 2p + 3p + 2p + 5p + 5 + 4 + 9
= 18p + 18
i hope this helps! :D
Which equation does this model represent
Answers
Answer:
G.
Step-by-step explanation:
5 + (-9) = -4.
. .
. .....
if a= 3 and b= 4 what would c=
Answers
Answer:
5
Step-by-step explanation:
answers r
268
201
151
67
Answers
67in³
Answer:
we have
volume of sphere =4/3 πr³=1/3×π×4³=67.02=67in³ is your answer.
Is 9.90 greater than or lesser than 9.9
Answers
Answer:
it is equal too.
Step-by-step explanation:
Answer:
it is equal to
Step-by-step explanation:
What is The difference of 3-3÷2
Answers
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Two students spent the same amount of
money on their lunches and got the same
number of toppings. One bought a steak
burger and paid $3.80 plus $0.40 for each
topping. The other bought a hamburger
and paid $3.20 plus $0.60 for each
topping. How many toppings did each
student get?
Answers
0.60-0.40=0.20
3.80-3.20=0.60
0.60 divided by 0.20=3
Hence, each student got 3 toppings each.
hope it helps:))
please help!!No links
Answers
Answer:1800
Step-by-step explanation: The larger triangle is double the size of the smaller triangle based on the sides 300->600 and 400->800
A teacher changed to grading from 50 points + 5 for each correct answer to 50 points + 7 for each correct answer. What would change: the slope. The y intercept, both the slope and the y intercept or nothing
Answers
Answer:
The slope
Step-by-step explanation:
Given that:
Initial grading ; For each correct answer : 50 points + 5
New grading ; For each correct answer = 50 + 7 points
The reading coukd be expressed in slope intercept form of an equation as :
Initial grading :
y = 50 + 5x
New grading :
y = 50 + 7x
y = total score ; x = number of correct answers
The change in y per unit change in x which is the slope, is the only difference in the two equations, the intercept (50) stays the same.
Therefore, only the slope changes.
No links or weird answers, please :(
Are all of these graphs functions? Explain why or why not.
Answers
3 − 1 = 5 + 10 = −5 1/2 Check whether the given value of is a solution to the equation. Justify your answer.
Answers
Answer:
[tex]x = -5\frac{1}{2}[/tex] is the solution
Step-by-step explanation:
Given
[tex]3x - 1 = 5x + 10[/tex] --- Correct expression
[tex]x = -5\frac{1}{2}[/tex]
Required
Determine if the given solution is correct
To do this, we simply solve for x in the given equation.
So, we have:
[tex]3x - 1 = 5x + 10[/tex]
Collect like terms
[tex]3x - 5x = 1 + 10[/tex]
[tex]-2x = 11[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2} = \frac{11}{-2}[/tex]
[tex]x = -\frac{11}{2}[/tex]
[tex]x = -5\frac{1}{2}[/tex]
What is the measure of ABC?
Answers
I am not absolutely sure but it should be 310
So the measure of ABC is:
360-100=260° (B)
I Hope this helped! Good luck ^^