Answers
Answer:
the answer to this is 10 i think sorry if it is wrong
Step-by-step explanation:
The triangles are similar and the measure of BC = 60/7 units
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔADE
Now , ΔABC and ΔADE are similar triangles
where corresponding sides of similar triangles are in the same ratio
So , AD / AB = DE / BC
On simplifying , we get
7 / 10 = 6 / BC
Multiply by BC on both sides , we get
BC ( 7/10 ) = 6
Multiply by 10 on both sides , we get
7BC = 60
Divide by 7 on both sides , we get
BC = 60/7
Hence , the measure of BC = 60/7 units
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ3
Related Questions
A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.
This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.
What is ???
Answers
Answer:
37.71 hours
Step-by-step explanation:
Saphire
1garden/88hours
Varsha
1garden/ 66 hours
Together
1/88 + 1/66 = x
use 264 as common denominator
3/264 + 4/264 = 7/264
Together they can do 7 gardens in 264 hours
264/7 = 37.71 hours for 1 garden
-----------------------------------
Sometimes Brainly double types numbers
If you meant 6 hours and 8 hours
1/6 + 1/8 = x
4/24 + 3/24 = 7/24
24/7 = 3.43 hours
The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Answers
====================================================
Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse [tex]f^{-1}(x)[/tex]
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
-----------------------
In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
How to find the domain of an inverse function?The domain of a function are the independent values of the function for Which it exists.
Given the function f(x) = 3x + 2
Find its inverse
y = 3x + 2
Replace x with y
x = 3y + 2
Make y the subject of the formula:
3y = x - 2
y = (x-2)/3
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
Learn more on domain here: https://brainly.com/question/26098895
What is the probability that a randomly chosen person from this group is a
sophomore and attended the jazz band concert?
Round your answer to two decimal places.
A. 0.56
B. 0.52
C. 0.26
D. 0.31
Answers
Answer:
0.26 or C
Step-by-step explanation:
Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26
The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.
What is probability?Probability exists about calculating or estimating how possible or 'probable' something exists to occur.
Let A be the event that a person exists a sophomore.
B be the event that a person attended volleyball game.
A∩B denote the event that a person exists a sophomore and attend volleyball game.
P be the probability of an event.
We have to estimate the value of P(A∩B),
Given: A∩B = 42
P(A∩B) = 42/137 = 0.3065 approximately equal to 0.31
P(A∩B) = 0.31.
The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.
Therefore, the correct answer is option D. 0.31.
To learn more about probability refer to:
https://brainly.com/question/12675996
#SPJ2
Show Intro/Instructions
A wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer than
the shorter piece. Find the length of the shorter piece of wire.
Answers
Answer:
Let the length of the 2 pieces = L and S
Let L = the longer piece and S = the shorter piece
A wire 26 cm is cut into 2 pieces. This equates to......L + S = 26
The longer piece is 6 cm longer than the shorter piece. This equates to.....L = 6 + S. Substitute this equation into the first one, you get
L + S = 26
6 + S + S = 26
2S = 20
S = 20/2 = 10 cm
L = 6 + S = 6 + 10 = 16 cm
To confirm, L + S = 26
16 + 10 = 26!
Hope the above was helpful.
Step-by-step explanation:
solve 14a-3b+9c=18 for a. Do not use a= in your answer
Answers
Answer:
9/7 + 3/14b - 9/14c
Step-by-step explanation:
See image below:)
Please HELP!
Given this graph of function f(x), find f (-2)
Answers
Answer:
4
Step-by-step explanation:
f(x) is just the y value for a given value of x
When x = -2 y = 4
f(-2) = 4
A.)55
B.)38
C.)70
D.)20
Answers
Answer:
D) 20
Step-by-step explanation:
4x - 10 and x together equal 90
Set your formula up as
90 = 4x - 10 + x
90 + 10 = 4x + x
100 = 5x
100 / 5 = x
20 = x
In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rhombus cross at right angles.
2x +70 = 90
2x = 20 . . . . . . . subtract 70
x = 10 . . . . . . . . . divide by 2
Mention any two similarities between rectangle and square.
Answers
The similarities between a rectangle and a square as:
All 4 angles are 90 deg each.
Opposite sides are parallel and equal.
The diagonals bisect each other.
Circles can circumscribe both figures.
The diagonals form the diameter of the circumscribing circle.
The square root of the sum of the squares of adjacent sides is the diagonal.
The area is the product of adjacent sides.
The diagonals bisect the figure into 2 congruent triangles.
Join the midpoints of opposite sides and you get 4 similar figures of 1/4 the area of the original figure.
Join the midpoints of 4 sides in order and you get a rhombus, whose area is half that of the original figure.
Factor of 15x - 20y
Answers
Answer:
0
Step-by-step explanation: Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20y' to each side of the equation.
15x + 20y + -20y = 0 + -20y
Combine like terms: 20y + -20y = 0
15x + 0 = 0 + -20y
15x = 0 + -20y
Remove the zero:
15x = -20y
Divide each side by '15'.
x = -1.333333333y
Simplifying
x = -1.333333333y
Find the area of each sector. Round your answers to the nearest tenth.
Answers
Answer:
a = 117.3 cm²
Step-by-step explanation:
a = (1/2)∅r²
a = (1/2)(7π/6)(8²)
a = (1/2)(7 * 3.14159/6)(64)
a = 117.3 cm²
which expression has a value of 15 when n=7?
Answers
Answer:
19 - 28/n
n=7
19 - 28/7
19 - 4
=15
Which type of triangle is it possible for an obtuse triangle to be?
acute triangle
equilateral triangle
isosceles triangle
right triangle
Answers
What is the domain of the relation given by the set of ordered pairs shown?
{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }
List the domain as a set, in increasing order.
Answers
Step-by-step explanation:
the domain = {-3, -1, 2}
_____
The domain, as a set in increasing order, will be {-3, -1, 2}.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs shown below.
{(-3, 2), (-1, 0), (-3, 5), (2, -3)}
Then the domain, as a set in increasing order, will be
⇒ {-3, -1, 2}
More about the domain and range link is given below.
https://brainly.com/question/12208715
#SPJ2
what additional piece of information do we need to prove that MLN ≅ OPN
Answers
Answer:
N is the midpoint of MO
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove [tex]MLN \cong OPN[/tex]
From the attachment, we already have:
[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]
The additional information that must be true for [tex]MLN \cong OPN[/tex] to be true is: N is the midpoint of MO
Because this piece of information proves that:
[tex]MN \simeq ON[/tex]
Which in other words makes [tex]MLN \cong OPN[/tex]
Smedley has two rolls of crepe paper, one with 30 yards and one with 40 yards. If he cuts both rolls into 5-yard streamers, how many streamers will he have?
Answers
Answer:
He will have 14 streamers
Answer:
2
Step-by-step explanation:
so u multiply it by 2846 take away the 8, 4 and 6 and all ur left is with 2
4 1) Which of the following is the correct way to solve
(i( 11 x 44? 4 X 11 44 (0) (ii) 4 X 44 11 X 44 4 X 44 11 (iii) (iv) 11 X 44
Answers
Answer:
c)4*44 / 11
Step-by-step explanation:
which of the following is the correct way to solve 4/11 * 44
a) 4*11 / 44
= 44/44
= 1
b) 4*44 / 11*44
= 176/484
= 44/121
c)4*44 / 11
= 176/11
= 16
d)11*44 / 4
= 484/4
= 121
Correct way
4/11 * 44
= (4 * 44) / 11
= 16
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answers
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
An orthocenter is the intersection of three.....?
Answers
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
Which mathematical sentence most Accurately expresses the information in the problem below?
See Picture....
Answers
Answer:
Don't quote me on this but it's probably C. 12c ≥ 88
Step-by-step explanation:
This is because he packages 88 eggs into cartons of 12.
88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answers
53 ÷5x2
10.6x2
21.2
Hope this helps
Answer:
21.2
Step-by-step explanation:
BODMAS : First bracket, then Division then multiplication.
[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]
How would you complete the square on the left side of this equation? x^2-6x=15 A. Add 6 to both sides of the equation. B. Subtract 6 from both sides of the equation. C. Add 9 to both sides of the equation. D. Subtract 9 from both sides of the equation. Please select the best answer from the choices provided A B C D
Answers
Answer:
C. Add 9 to both sides of the equation.
Step-by-step explanation:
Given
[tex]x^2 - 6x = 15[/tex]
Required
Complete the squares
We have:
[tex]x^2 - 6x = 15[/tex]
---------------------------------------------
Take the coefficient of -6 i.e. -3
Square it (-3)^2 = 9
Add 9 to both sides
---------------------------------------------
Hence, C is correct
What theorem shows that △NTM ≅△SMT?
Answers
Answer:
Step-by-step explanation:
Side, side angle (SSA) theorem shows that △NTM ≅△SMT.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given figure ΔNTM and ΔSMT share a common side MT.
Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.
Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ5
If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?
Answers
Answer:
the probablity of anything is
(Number of desired outcomes) / (Number of total outcomes)
Step-by-step explanation:
Answer:
I'd assume 1/4
Step-by-step explanation:
there are only 4 different suits to pick from
This makes no sense, help pls
Answers
Please mark me branliest!
**Answer**
16 if you want exact, 20 if you want a little over.
**Explanation**
So check this... it's $50 per student that attends the camp, right?
(Nod if you're with me.)
The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800
5 dozen is the same as 50 donuts.
You multiply to get the total amount of donuts he buys in the total days (16).
Each 10 donuts costs 10 dollars.
If the dude buys 800 donuts it cost him $800.
And it costs 50 dollars for someone to go to camp.
So you divide 800/50 = 16 students
Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.
You are very welcome!!
A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her
store. What will the jeweler charge for the necklace to her customers?
Answers
Answer:
120
Step-by-step explanation:
First find the markup
80 * 50%
80*.5
40
Add this to the original cost
80+40
120
The price will now be 120
Pls help LOL I WILL MARK U BRAINLIEST‼️‼️‼️‼️
Answers
Answer:
B=17
A=16
Step-by-step explanation:
It is my friend OK if you want say again and I can ans
4. Type of data that is given as individual data points.
a grouped
c. research
b. questionnaire
d. un grouped
Answers
Answer:
Ungrouped
Step-by-step explanation:
Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :
Ages of 10 randomly chosen children :
5, 4, 2, 2, 4, 5, 7, 6, 3, 4
Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12
Answers
87 Step-by-step explanation:
Ill answer when i get the result
Please help, I’m so lost in math
Answers
Answer:
[tex]r = 15 \times 5 \\ r = 75[/tex]
Answer:
75
Step-by-step explanation:
5 = r/15
what we want to do is solve for r
to do this we want to isolate the variable (r) using inverse operations
5 = r / 15
so to solve for r we want to get rid of the 15
r is being divided by 15
the inverse of division is multiplication
so to get rid of the 15 we multiply by 15
but remember whatever we do to one side we must do to the other side, so we multiply each side by 15
15 * 5 = 75
r / 15 * 15 = r
we're left with r = 75
we can then check are work by substituting 75 for r and then see if the equation is true
5 = r/15
* substitute 75 for r *
5 = 75/15
75 / 15 = 5
we're left with 5 = 5 which is true