Answer:
TS is 1
Step-by-step explanation:
The given parameters are;
ΔMNP is similar to ΔTSR
[tex]\overline {NQ}[/tex] and [tex]\overline {SU}[/tex] are angle bisectors of ∠MNP and ∠TSR respectively
MN = 2, TS = n + 2, NP = 3, SU = 1, NQ = n + 3
We have;
MN and TS are corresponding sides
[tex]\overline {NQ}[/tex] and [tex]\overline {SU}[/tex] are corresponding sides
Therefore, we have;
MN/TS = [tex]\overline {NQ}[/tex]/[tex]\overline {SU}[/tex] which gives;
2/(n + 2) = (n + 3)/1
(n + 2)·(n + 3) = 2
n² + 3·n + 2·n + 6 = 2
∴ n² + 5·n + 4 = 0, which gives, by factorization;
(n + 1)·(n + 4) = 0
∴ n - 1 or n = -4
TS = n + 2
When n = -1 TS = -1 + 2 = 1
When n = -4, TS = -4 + 1 = -3
Therefore, for a natural number value, we have, n = -1 and TS = 1.
What is the total cost of a $75.00 item with a sales tax of 4%?
Answer:
Step-by-step explanation:
75+[(75*4)/100]=75+3=78
I'm confused on how this works
It's like a graph, you create a ratio using the x, and y or whichever numbers you're using.
9514 1404 393
Answer:
A'(-6, 12), B'(12, -3), C'(-3, -6)
Step-by-step explanation:
When the center of dilation is not specified, it is presumed to be the origin (0, 0). When that is the case, dilation multiplies every coordinate value by the dilation factor. For example, the x-coordinate of A is -2. The dilation factor is 3, so the x-coordinate of A' is 3(-2) = -6, as shown in your figure.
The same applies to all of the coordinates. (We assume you know how to multiply by 3.)
On the graph, each point moves to 3 times the original distance from the origin, in accordance with the new coordinates. The result is shown in the attachment.
In the expression below, what is the coefficient?
3y-4
Answer: 3y is the coefficient.
Step-by-step explanation: A coefficient is numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or, to put it simpler, a coefficient is a number with an variable next to it.
CE is a perpendicular bisector. CE bisects the segment AB. If AB = 72 and FB = 5x+1. find X
Answer:
C.
Step-by-step explanation:
took the test
There is a sales tax of S6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before ta
Answer:
$150
Step-by-step explanation: 11.25 divided by tax rate of 7.5 % equals 150
A refreshment stand makes 7 large servings of frozen yogurt from 9 pints. Graph the
line and then write its equation. Let the x-axis represent the number of pints and the y-axis represent the number of servings. Use only fractional form, if necessary.
(I will mark you as a Brainliest if you answer correctly:))
Answer:
y = (7/9)x
Step-by-step explanation:
The equation of a straight line is given as y = mx + b, where y and x are variables, m is the rate of change = change in y / change in x, while b is the y intercept (value of y when x = 0).
When no pint is used, there is no frozen yoghurt. But from 9 pints, 7 large servings of frozen yogurt is made. Let x represent the number of pints and the y represent the number of servings.
Hence, using y = mx + b, we get b = 0, because at 0 pint there is no servings. The equation be comes y = mx
m = change in y / change in x = 7 servings / 9 pints
m = 7/9
The equation is:
y = (7/9)x
Please help
Answer fast
Answer:
k = 2
Step-by-step explanation:
Based on the right triangle altitude theorem, thus:
4 = √(k*8)
Square both sides
4² = k*8
16 = 8k
Divide both sides by 8
16/8 = 8k/8
2 = k
k = 2
please help, my teacher won't respond to email and everyone else is busy
Answer:
16.
x<5
hope this helps!!:)
Step-by-step explanation:
What is the perimeter of the square below?
64m^2
plzit explain question the get really don't I
How many days are there in one week? It is measured in the_______
A. ones
B. tens
C. thousands
D. hundreds
Answer:
A)ones
Step-by-step explanation:
a)How many days are there in one week?It is measured in the ones.
A.ones
Find the product of 6x and 2y2.
A) 24xy2
B)8x3
C)144x2y2
D)12xy2
Mr.Thompson entered a boat race. He rowed 3/12 miles in 12 hours. Find his average speed in mile per hour?
Answer:
it takes him 7/2 thirds to do 12 to find his average speed
Step-by-step explanation:
A label is placed around the juice box below, not including the bases. Determine the surface area.
Answer:
add all the sides up or 1.8 X 4 because its gonna be a square
Answer:
Step-by-step explanation:
It would be 12.96
ok so i just need help on 23,24,25 and 26!!! i will make brain-list :)
Answer: 23 Yes
24. NO
25. Yes
26 yes
Step-by-step explanation:
What percent of 68 is 34?
Let the unknown number be x.
Answer:
50
Step-by-step explanation:
Lmk if this was the right way to do it or not lol
CAN SOMEONE PLS HELP WITHT HSI ASAP
Answer:
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
Step-by-step explanation:
[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \tan(theta) = \frac{opposite}{adjacent} [/tex]
theta = 30°
hypotenuse = √6
opposite = x
adjacent = y
1) find x using the sin formula[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{ \sqrt{6} } [/tex]
[tex] \sin(30) \times \sqrt{6} = x[/tex]
[tex] \frac{ \sqrt{6} }{2} = x[/tex]
[tex]x = \frac{ \sqrt{6} }{2} [/tex]
2) find y using the cos formula[tex] \cos(theta) = \frac{adjacent}{hypotenuse} [/tex]
[tex] \cos(30) = \frac{y}{ \sqrt{6} } [/tex]
[tex] \cos(30) \times \sqrt{6} = y[/tex]
[tex] \frac{3 \sqrt{2} }{2} = y[/tex]
[tex]y = \frac{3 \sqrt{2} }{2} [/tex]
What is the value of the expression 4 × (2a − 1) if a = 3?
Answer:
20
Step-by-step explanation:
4 * (2a − 1)
Let a=3
4 * (2*3 − 1)
Simplify inside the parentheses first
4 * (6 − 1)
4 * (5)
20
2. What is A-2) if f(x)= ?
F.-2
G. 1
H. O
I. 1
Answer:
F.-2...........................................
A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will land on an area that is white? *
Answer :
The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]
Explanation :
Given that,
A 7-by-7 foot rug is shown in figure.
Suppose, all parts are equal.
The area of rug is
[tex]A_{r}=7\times7[/tex]
Area of one part of rug is
[tex]A'_{1}=3.5\times3.5[/tex]
We need to calculate the probability that the coin will land on an area that is white
Using formula of probability
[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]
Put the value into the formula
[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]
[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]
[tex]P=\dfrac{1}{2}[/tex]
Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].
How to find x (similar triangles)
Answer:
x = 2
Step-by-step explanation:
Parallel lines divides the transversals in proportion.
Therefore,
[tex] \frac{9}{4} = \frac{13.5}{x + 4} \\ \\ 9(x + 4) = 13.5 \times 4 \\ \\ 9(x + 4) = 54 \\ \\ x + 4 = \frac{54}{9} \\ \\ x + 4 = 6 \\ \\ x = 6 - 4 \\ \\ x = 2[/tex]
Which addition expression is equal to 4 times one-fifth?
One-ninth plus one-ninth plus one-ninth plus one-ninth
One-fifth plus one-fifth plus one-fifth plus one-fifth
Four-ninths plus four-ninths plus four-ninths plus four-ninths
Four-fifths plus four-fifths plus four-fifths plus four-fifths
Answer:
One-fifth plus one-fifth plus one-fifth plus one-fifth
Step-by-step explanation:
1/5 + 1/5 + 1/5 + 1/5 = 4/5 = 4 x 1/5
Answer:
5 'v'
Step-by-step explanation:
(0,1) (3,-8) linear equation
Answer:
The answer is
[tex]y = - 3x + 1[/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1} [/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 8 - 1}{3 - 0} = \frac{ - 9}{ \: \: \: 3} = - 3[/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ - 8 = - 3(3) + b \\ - 8 = - 9 + b \\ \frac{ + 9 = + 9 \: \: \: \: \: }{1 = b} [/tex]
➌Third: Plug in.
[tex]y = - 3x + 1[/tex]
what does 11+(r+3) equal to?
Well, if we use the Associative Property, we can switch around the positions of the 11, which is out of the parentheses. So, what we do is we put 11 and 3 into parentheses and r out of the parentheses, which makes:
r + (11 + 3)
So, now we solve the parentheses:
r + (14)
And finally, remove the parentheses. So, therefore, the answer is r + 14.
Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95. Write an equation to find the number of hour, h, that the plumber worked.
Answer:
4.75 h
Step-by-step explanation:
PLZZZZZZZ HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!! MARKKKK BRAINLEST!!!!!!!!
Answer:
A = 31.68°
B = 109.45°
C = 38.92°
Step-by-step explanation:
Law of cosine: cosA = (b²+c²-a²) / 2bc
a = x = 10 b = 18 c = 12
cosA = (18² + 12² - 10²) / 2*18*12 = 368/432 = 0.851
A = 31.68
cosB = (10² + 12² - 18²) / 2*10*12 = -80/240 = -1/3 = -0.333
B = 109.45
cosC = (10² + 18² - 12²) / 2*10*18 = 280/360 = 0.778
C = 38.92
check: A+B+C = 31.68 + 109.45 + 38.92 =180.05 ≈ 80°
Wish this help!!
Solve by using elimination. Express your answer as an ordered pair.
answer choice
(3, 5)
(11, 36/7)
(5, 3)
(8, 6)
Answer: (5,3)
Step-by-step explanation:
a worker has installed 65% of the tiles for a tile floor. If they installed 195 tiles so far, how many tiles are there total
Answer:
300 tiles.
Step-by-step explanation:
First, you divide 195 by 65 to get what 1% is. 195/65 = 3. 1% is 3. Then you multiply 3x100 because there is 100%. So that is 300 and that's why there are 300 tiles in total. Hope this helped! :)
A, B, C, or D
Help I don’t get this
Answer:
in a triangle there is only two sides that are the same length.
Answer:
Thus the answer is A. 10 cm, 6 cm, 4 cm
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The first combination y=6 cm z=4 cm produces the condition:
6 - 4 < x < 10
2 < x < 10
The third side is x=10 cm and it does not satisfy the inequality.
The rest of the combinations produce true inequalities:
B. 1 < x < 15 and x=9 satisfies the conditions
C. 1 < x < 9 and x=8 satisfies the conditions
D. 6 < x < 14 and x=10 satisfies the conditions
Thus the answer is A. 10 cm, 6 cm, 4 cm
7 x 7 ( __ x 7 ) + ( 2 x 7 )
= __ + 14
=
Answer:
Step-by-step explanation:
1) 5
2) 63
????
7x ( 3 x 4) = ( 7 x 3) x4
what property
Commutative
Identity
Associative
Distributive
i’ll give the brain thing