Question
Triangle ABC is similar to triangle XYZ. Find side a.
13
39
Y
5
Z
B
Provide your
Answers
Answer:
Step-by-step explanation:
There are two great ways to set up this problem and they both get you the same answer. First you know that the triangles are similar, this means they are the same shape, but not necessarily the same size. You can use ratios to compare the sizes of the sides. Just be sure to compare like things to like things.
One way: compare the small triangle's long side to short leg with the big triangle's long side to short leg. Like this:
13/5 = 39/a
OR...compare long side(sm) to long side(big) compared to short leg(sm) to short leg(big). Like this:
13/39 = 5/a
Amazingly, these equations will give you the same answer.
13a = 39*5
13a = 195
13a/13 = 195/13
a = 15
You can maybe see that the big triangle's side is 3 times bigger than the small one (13 times 3 is 39) So it works out that the 5 on the little triangle is 3 times bigger--15--on the large triangle!
Related Questions
What is m∠JNK? Enter your answer in the box.
*NOT a question, I had trouble with this on my test and couldn't find anyone that had asked, so here is the correct answer. Merry Christmas everyone! :-)
Answers
Answer:
Merry Christmas too!!
Step-by-step explanation:
Stay safe lovelots
#LEARN WITH BRAINLY
help plsssssssssssssssssssssssssssss
Answers
Answer:
0
the answer is 0........
Please some urgent help!!!!
Answers
Answer:
brain less or i hack ur acc to ban
Step-by-step explanation:
u cant report me because im hacker
This is because of the blue line in the middle so you only have to count one half
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropiate formula. The perimeter is 98 in. and the width is 22 in.
Answers
Answer:
the length of rectangle is 27 in
How do I write 435 in expanded from
Answers
Answer : 400 + 30 + 5
Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".
4 --> Since it's in the hundreds place that means the number is 400 !
3 --> Since it's in the tenths place that means the number is 30 !
5 --> Since it's the first digit that means it stays as the number 5 !
Hope this helped ! <33
Take care happy holidays ! Contact me if you need more help on this ! ( If you want )
What is quadratic spline?
Answers
The definition of a quadratic spline is that;
A Quadratic Spline is the creation of a set of polynomial functions that are quadratic and follow the format f(x) = ax² + bx + c.
Quadratic SplineA Quadratic Spline is simply defined as the creation of a set of polynomial functions that are quadratic, or relatively simple to comprehend and must follow the quadratic function format which is;
f(x) = ax² + bx + c
where;
a, b and c are the values gotten in the process of doing the Splines to create the desired functions.
Read more about quadratic functions at; https://brainly.com/question/1214333
Bidmass working out questions
Answers
Answer:
The answer will be 0
Step-by-step explanation:
Let me know Hope it helps
The given number line shows the solutions to which inequality
Answers
Answer:
B (x-7<-6)
Step-by-step explanation:
x < 1
Please help me answer
Answers
Answer: Second Choice
Step-by-step explanation:
Michael drove 638 miles in 11 hours.
At the same rate, how many miles would he drive in 8 hours?
Answers
she will drive 754 miles in 13 hrs.
Help needed rn i have a few minutes left
Answers
Answer:A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the distance, rounded to the nearest tenth, between the points (2, 1) and (6, 6)? Enter the answer in the box.
units
Answers
Answer:
6.4 should be the correct answer
Step-by-step explanation:
if im wrong and you wanted it in a different format im sorry
When Alex went to work the temperature
was -2°F. When he got home from work the
temperature raised 14°. What was the
actual temperature when he got home from
work?
Answers
Solve the following system of equations by elimination
Answers
Answer:
y = -6
x = 1
Step-by-step explanation:
-x + 2y = -13
-x - 2y = 11
Sum the equations:
-x -x = -2x
+2y - 2y = 0
-13 + 11 = -2
then
-2x = -2
x = -2/-2
x = 1
from the first eq.
-x + 2y = -13
-1 + 2y = -13
2y = -13 + 1
2y = -12
y = -12/2
y = -6
check:
from the second eq.
-x -2y = 11
-1 -(2*-6) = 11
-1 -(-12) = 11
-1 + 12 = 11
Answer each question and round your answer to the nearest whole number
A model power plant has a scale of 2 cm: 4 m. If the model power plant is 6 cm tall,
then how tall is the real power plant?
3 m
O 12 m
2 m
O 10 m
Answers
Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:
Answers
Answer:
C
Step-by-step explanation:
32 / 4 = 8
56 / 7 = 8
64 / 8 = 8
Pls help! The question is: You are riding a bike up Elm Trail towards Deer trail. You plan to make a left turn on to Deer trail. What is the angle measure of the turn?
Answers
Answer:
110
Step-by-step explanation:
there is a angle of 70 in the other side is there is a total of 180 and subtract 70 you get 110
Answer:
110
Step-by-step explanation:
Which of the following are steps in practical problem solving?
Answers
Answer:
Assign an identifying variable to the quantity to be found. Write a sentence stating conditions placed on the quantity. Solve the sentence for the variable.
Step-by-step explanation:
can you mark me as brainlist
right answers only plz and thank you :)
Answers
The required value of "k" is 8. Option B is correct
Given the polynomial function
[tex]P(x) =2x^3-4x^2+kx-3[/tex]
What is remainder theorem?
The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.
If this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3
[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]
Hence the required value of "k" is 8
Learn more on polynomial function here: https://brainly.com/question/10881257
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answers
Answer:
C
Step-by-step explanation:
[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
The distance between Mr. Tomback’s hometown and NYC is 36 centimeters on a road map. The map scale indicates that 5cm on the map represents 125 kilometers in real life. If Mr. Tomback drives at an average speed of 80 kilometers per hour, then how many hours will it take him to get home from NYC?
Answers
Answer:
First, we need to figure out the number of kilometers.
if 5 cm is equivalent to 125 kilometers in real life this means
1 cm is equivalent to 25 kilometers making the conversion much easier.
36 centimeters multiplied by 25 is 900, which means in real life the distance between Mr.Tomback's hometown and NYC is 900 kilometers.
900 km ÷ 80 kmh
= 11.25000000
= 11 hours
0.25000000 × 60
= 15.00000000
= 15 minutes
it will take him 11 hours and 15 minutes to get home to NYC
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answers
Answer:
x=-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-5))/(-7-(-7))
m=(-2+5)/(-7+7)
m=3/(0)
undefined
x=-7.
PLEASE HELP ME GET ALL THESE QUESTIONS QUICKLY DONE I WILL MARK BRAINLIST PLS PLZ PLZZZZZ
Answers
Answer: look at explanation
Step-by-step explanation:
1st question: 48 / 60 = 80 %
2nd : 1/4 of 60 = 15 people
3rd : If 60% is 48 miles, than 10% is 8 miles. Therefore, 100% (his goal) = 80 miles.
4th: 1/4 of 88 = £22
PLS PLS PLS PLS HELP :D <33
Answers
Answer:
Value of x = 3
m∠HEB=27°
Step-by-step explanation:
1) CEH and HEB are complementary angles, therefore both of their angles added together will be 90 degrees
2) Set the two equations added together equal to 90 and solve for x
19x+6+9x=90
28x=84
x=3
3) Plug in x into 9x to get HEB
9(3)=27
7.RP.A.1 (NC)
8. Grant paddled a canoe, 3/4 mile in 1/2 hour. How fast did Grant paddle in miles per
hour?
Answers
Answer:
1.5 miles / hour
Step-by-step explanation:
The question is most easily done by converting to decimals
3/4 = 0.75 miles
1/2 = 0.5 hours
Formula
r = d/t
Solution
r = 0.75 miles / 0.5 hours
r = 1.5 miles per hour
(I WILL GIVE BRAINLIEST) PLEASE HELP!
Answers
Answer:
Option D
Step-by-step explanation:
Step 1: Determine the correct option
Option A, this option doesn't work because -3.46 is not greater than -2 1/3. Although the number 3 is greater than 2, these numbers are negative therefore the bigger the negative number, the smaller the number actually is.
Option B, this option doesn't work because 16/5 is not greater than 6. If we convert 16/5 into a decimal we get 3.2 and this number isn't bigger than 6.
Option C, this option doesn't work because once again it states that -3.46 is greater than -2 1/3 when in reality it's actually smaller.
Option D, this option does work because everything goes according the way it should. -3.46 is smaller than -2 1/3 and -2 1/3 is smaller than -3/4 and -3/4 is smaller than 16/5 and 16/5 is smaller than 6.
Answer: Option D
What is
( x + 1 ) ^2
Answers
[tex](x+1)^2 = x^2 +2x + 1[/tex]
As a bowl of soup cools, the temperature of the soup is given by the twice-differentiable function H for 0[tex]\leq[/tex]t[tex]\leq[/tex]12, where H(t) is measured in degrees Celsius (C), and time t is measured in minutes. Values of H(t) at selected values of time t are shown in the table above.
a) Use the data in the table to approximate H'(5). Show the computations that led to your answer. Using correct units, explain the meaning of H'(5) in the context of the problem.
b) Is there a time t for 0[tex]\leq[/tex]t[tex]\leq[/tex]12 at which the temperature of the soup is 60C? Justify your answer.
c) The temperature of the soup is also modeled by the twice-differentiable function C for 0[tex]\leq[/tex]t[tex]\leq[/tex]12, where C(t) is measured in degrees Celsius (C), and time tis measured in minutes. It is known C(3)= 80 and the derivative of C is given by C'(t)= -3.6e-0.05t. Write an equation for the line tangent to the graph at t=3 and use it to approximate C(5).
d) Based on the model given in part c, at what rate, in degrees Celsius per minute minute, is the rate of change of the temperature of the soup changing at t=3 minutes?
Answers
The rate of change of temperature with time at a point in time is given by
the derivative of the function for the temperature of the soup.
The correct responses are;
a) H'(5) is approximately -2.6 degrees Celsius per minute.b) Yesc) The equation for the line tangent is y = -3.6·t + 90.8The approximate value of C(5) is 72.8 °Cd) The rate of change of the temperature of the soup at t = 3 minutes is -3.6 degrees Celsius per minute.Reasons:
a) From the data in the table, we have;
The approximate value of H'(5) is given by the average value of the rate of
change of the temperature with time between points, t = 3, and t = 8
Therefore;
[tex]\displaystyle H'(5) = \mathbf{\frac{H(8) - H(3)}{8 - 3}}[/tex]
Which gives;
[tex]\displaystyle H'(5) = \frac{80 - 67}{8 - 3} = \mathbf{2.6}[/tex]
Therefore, H'(5) = -2.6°C per minute
b) Given that the function is twice differentiable over the interval, 0 ≤ t ≤ 12, the function for the change in temperature is continuous in the interval 0 ≤ t ≤ 12
At t = 0, H(0) = 90 °C
At t = 12, H(12) = 58 °C
58 °C < 60 < 90 °CTherefore, there exist a temperature, of 60 °C between 90° C and 58 °C
c) The given derivative of C is, [tex]C'(t) = \mathbf{-3.6 \cdot e^{-0.05 \cdot t}}[/tex]
At t = 3, we have;
[tex]The \ slope \ at \ t = 3 \ is \ C'(3) = -3.6 \cdot e^{-0.05 \times 3} \approx -3.1[/tex]
Therefore, we have;
y - 80 ≈ -3.1 × (x - 3)
The equation for the tangent is; y = -3.6 × (x - 3) + 80
y = -3.6·x + 10.8 + 80 = -3.6·x + 90.8
The equation for the tangent is; y = -3.6·x + 90.8The value of C(5) is approximately, C(5) ≈ -3.6 × 5 + 90.8 = 72.8
C(5) ≈ 72.8°d) Based on the the model above, the rate at which the temperature of the
soup is changing at t = 3 minutes is -3.6 degrees per minute.
Learn more about calculus and concepts here:
https://brainly.com/question/20336420
100 points ‼️ (I would give more but that’s the limit)
Answers
Some help please please
Answers
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.
Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).
[tex]x\sqrt{2}[/tex]
x=8
Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.
Answer:
oh snap i have this question too sorry cant help :(
Step-by-step explanation:
but i can provide with advice bc is the side down and bd is across us this to your advantage