Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.
What is similarity?
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
How to check similarity of triangle?
In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.
To check AA similarity we have to check whether two angles are equal in two triangles to be similar.
Learn more about similarity at https://brainly.com/question/24184322
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When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
lorry + bricks = 11600kg
bricks = 3(mass of empty lorry)
lorry mass is x
there for bricks = 3x
x+3x = 11600
4x =11600
x= 2900kg
mass of bricks = 3(2900)
=8700kg
a number that can be writtin as a fraction oftwo integers is called a ....
Answer:
x
Step-by-step explanation:
Answer:
a rational number
Step-by-step explanation:
Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.
3x + 2y = 0
x - 5y = 17
Ramon places a mirror on the ground 45 ft from the base of a geyser. He walks backwards until he can see the top of the geyser in the middle of the mirror. at that point, Ramon eyes are 6 ft above the ground and he is 7.5 ft from the mirror. Use similar triangles to find the geyser
Answer:
36 ft
Step-by-step explanation:
6/x=7.5/45
270=7.5x
x=36
In this exercise we have to have knowledge of triangles, so we can use the theory of similar triangles to find the value of X, like:
[tex]36 ft[/tex]
To use similar triangle theory, we have to make a rule of 3, that is:
[tex]6/x=7.5/45\\270=7.5x\\x=36[/tex]
See more about triangles at brainly.com/question/10951564
Please Help! I'll give Brainliest!
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?
BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC
Answer:
See attachment
PS:
Can I have Brainliest?
The correct statement is BC equals to AC times CE all over CD.
We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.
Given, DE and AB are parallel
So, [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]
[tex]BC = \frac{AC\times CE}{CD}[/tex]
Therefore in statement form we say that BC equals to AC times CE all over CD.
For more details on proportionality theorem follow the link:
https://brainly.com/question/2078223
Which is not Figurative
may someone plz answer this
Answer:
At least 2 weeks
Step-by-step explanation: You divide until you reach 200
20 POINTS
PLEASE HELP!
Find the slope of the line that passes through the pair of points.
(4, –4), (6, –4)
Answer:
0
Step-by-step explanation:
Dany has a business selling bracelets for 7.50 each. She only has enough material to make 5 bracelets. If x represents the number of bracelets sold and y represents the total cost, what is the range for this situation.
Answer:
The range is [0,37.5]
Step-by-step explanation:
We start by writing the equation that links x and y
From the question;
y = 7.5x
Now, she has enough material to make 5 only
When we talk of range, we are referring to the values on the y-axis
So the lowest y value is 0
and since the highest number of bracelets is 5;
The total cost of the 5 is 7.5(5) = 37.5
So the range is [0,37.5]
write a linear function with f with f (5) = -1 and f (0) = -5
Answer:
5y = 4x-25
Step-by-step explanation:
Let f(x) be regarded as y
So we have two points
(5,-1) and (0,-5)
We start by finding the slope of the line connecting the two points
m = y2-y1/x2-x1
m = -5+1/0-5 = -4/-5 = 4/5
The general equation of a straight line is;
y = mx + b
where m
is slope and b is the y-intercept
we already have the slope as 4/5
So;
y = 4x/5 + b
To get b, substitute one of the points
Let us use (0,-5)
-5 = 4(0)/5 + b
so b = -5
The equation is;
y = 4x/5 - 5
Multiply through by 5
5y = 4x - 25
I will mark brainlist and 5 stars. Help please :))
Answer:
the answer to that question is D
Answer:
its C
Step-by-step explanation:
The lunch special at a diner offers you a choice of 5 sandwiches, 2 salads, 3 soups, 6 drinks, and 2 desserts. How many different meals are possible if you choose one item from each category?
Answer:
360
Step-by-step explanation:
there are 360 different meal combos possible if you choose 1 of each because 5×2×3×6×2 is 360
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³
[tex]\frac{4}{3}[/tex]π * (5)³
[tex]\frac{4}{3}[/tex]π * 125
523.333 mm³
Im really bad at negative numbers someone please help!
Order [-25] [18] [-1] [26] from greatest to least.
The correct order is.....
Answer:
26, 18, -1, -25
Step-by-step explanation:
for easier understanding just draw a number line with integers for easier clarification.
... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...
26,18,-1,-25 is the answer from greater to least
Mrs. stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. how old is Mrs. stone now, if 9 years ago Alex was two times older than Joyce?
Answer:
54
Step-by-step explanation:
RSM homework lol
made equation, then solved it.
hope this helps!
Mass = 10 g
Density = Mass/volume
Volume of a cube = (side length)3
Now that you have the side length, determine the volume. Then use the density formula to calculate the density of the material. Record your observations by selecting the data table icon.
You may use a calculator for this section.
Measurement1.7 cm
FIRST ANSWER GETS BRAINLIEST
Answer:Hello! Here we have a cube, with a mass of 10g and a side length of 2.5cm.
First we want to determine the volume.
The volume of a cube, is equal to his cubic side length, where L is the side length:
So
So the volume of the cube is 15.625 cubic centimeters.
Now we want to calculate te density of the material, as you know:
This means that the density is 0.64 grams per cubic centimeter.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1. Determine the value: V=L^3
so, (1.7)^3= 4.913
2. Calculate the density: mass divided by volume
10 divided by 4.913= 2.0
Answer: 2
Stacy is sending packages of candy to troops that are stationed overseas. Each package weighs the same amount, and each costs $13.87 to ship. She sends 3 packages in all. If Stacy gives the postal worker $45.00, how much change should she receive?
Answer:
$ 3.39
Step-by-step explanation:
X = 45 - (13.87*3)
x = 45 - 41.61
x = 3.39
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth rate as a percent for that 15-year period?
At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?
Answer: $134.40
Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.
8x – 12y = 48
Find the x-intercept and y-intercept
Answer:
my answer came out to x = 6 + 1.5y
Step-by-step explanation:
You weigh a gallon of liquid in science class and learn that it is approximately 7.3 pounds. You pass the liquid to the next group, and then realize that your teacher wanted an answer in kilograms, not pounds. Complete the explanation of how you can adjust your answer without weighing the liquid again. Then give the weight in kilograms. If necessary, round your answer to the nearest tenth.
Answer:
3.3 kg
Step-by-step explanation:
1 pound = 0.453592kilogram
so you just need to 7.3*0.453592= 3.3kilograms
CAN SOMEONE PLEAEE HELP ????!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
I don't know if I'm correct but the answer is 6.
Step-by-step explanation:
I'm not 100% correct, but you set the other two angles to add to each other then set it equal to angle QRS and i got x=6.
Your equation should be like this: 3x + 17 + 2x +21 = 10x -1
than you solve form there
I;m not sure that this is the correct answer and maybe i'm wrong, but hope this helps
Answer:
59°
Step-by-step explanation:
According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]
So, by exterior angle property of a triangle, we have:
[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\
(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\
(10x - 1)\degree = (3x +17+2x +12)\degree\\\\
(10x - 1)\degree = (5x +29)\degree\\\\
(10x - 1)= (5x +29)\\\\
10x - 5x = 29 + 1\\\\
5x = 30\\\\
x = \frac{30}{5}\\\\
x = 6\\\\
\because m\angle QRS = (10x - 1)\degree \\\\
\therefore m\angle QRS = (10\times 6- 1)\degree \\\\
\therefore m\angle QRS = (60- 1)\degree \\\\
\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\
[/tex]
Can you please help
Plzzzzzz
Can you help me with question 4 pls
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation:
A plane travels 3,625.26 miles in 6.9 hours. What is the plane’s unit rate?
Represent this situation with a fraction.
a. Represent this situation using the same units.
b. Estimate the quotient.
c. Express the divisor as a whole number.
d. Use the division algorithm to find the quotient.
e. Use multiplication to check your work
Answer:
The correct answers are:
a) 3625.26 miles OVER 6.9 miles
b) 36252.6 tenths miles÷ 69 tenths hours
c) 3500 miles over 7 hours = 500 miles over hours
d) 3625.26 miles 10 over 6.9 hours 10 = 36252.6 miles over 69 hours
e) 525.4 miles/h
Step-by-step explanation:
Brainliest please?
Let r = unit rate of the plane
r = (3,625.26 miles)/(6.9 hours)
You now have the correct fraction set up to answer a through e.
Take it from here.
Suppose that three out of five voters support a candidate. If 1,240 voters support the candidate, how many voters participated in the election in all? Round your answer to the nearest whole number.
Answer:
2067 voters
Step-by-step explanation:
Suppose that three out of five voters support a candidate.
This means 3/5 votes support a candidate
Let the total number rod candidates be represented as x
If 1,240 voters support the candidate,
how many voters participated in the election in all?
Hence,
3/5 of x = 1240 voters.
3/5 × x = 1240
3x /5 = 1240
Cross Multiply
3x = 1240 × 5
x = 1240 × 5/3
x = 2066.6666667 voters
Approximately to the nearest whole number:
2067 voters
Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth
Answer:
The cashier is wrong
[tex]Amount = 64.99[/tex]
Step-by-step explanation:
Given
[tex]Jeans=34.95[/tex]
[tex]Shirt = 24.95[/tex]
[tex]Sales\ Tax = 8.5\%[/tex]
Solving (a): Is the Cashier's step correct?
The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.
Solving (b):
First, calculate the total cost by adding the cost of jeans and shirt respectively:
[tex]Total = 34.95 + 24.95[/tex]
[tex]Total = 59.90[/tex]
Next, multiply the sales tax percentage to the total cost to get the sales tax amount.
[tex]Sales\ Tax = 8.50\% * 59.90[/tex]
[tex]Sales\ Tax = 5.0915[/tex]
Add the sales tax to the total, this gives the total payable amount.
[tex]Amount = 59.90 + 5.0915[/tex]
[tex]Amount = 64.9915[/tex]
[tex]Amount = 64.99[/tex] approximated
1. 6x+4x−1=2(5x+4)
2. 48x+43=47x+43
3. 2(3x+8)=2x+16+4x
4. 0.4(5x−15)=2.5(x+3)
5. 3(4x+2)=20x−9x+2
Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation:
what is 5x98 (x343)=
Answer:
168,070
Step-by-step explanation:
Multiplication, 5 x 98 = 490. 490 x 343 = 168,070