Answer:
8.9
Step-by-step explanation:
7.1/8.9=Qn/11.1
QN = 8.9
{ Parallel lines divide in proportion to their segments }
The solution is 8.9
The length of the side of the triangle PNO is QN = 8.9
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 ΔPNO
Let the second triangle be ΔPQR
Now , ΔPNO ≅ ΔPQR
And , The corresponding sides of similar triangles are in the same ratio
So , substituting the values in the equation , we get
RO / PR = QN / PQ
On simplifying the equation , we get
7.1 / 8.9 = QN / 11.1
Multiplying both sides of the equation by 11.1 , we get
QN = ( 7.1 x 11.1 ) / 8.9
The value of QN will be
QN = 8.85
Rounding the value of QN to the nearest tenth , we get
QN = 8.9
Therefore , the value of QN is 8.9
Hence , The length of the side of the triangle PNO is QN = 8.9
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Evaluate the algebraic expression x + 2y when w = 12, x = 10, y = 5 and z = 9.
A:12
B:17
C:20
D:27
Answer:
20
Step-by-step explanation:
Plugin x = 10 and y = 5 in the expression.
x + 2y = 10 + 2*5
= 10 + 10
= 20
The inequality 2x+1>15 will be true when
1. x=7
2. x=0
3. x=10
4. x=5
Answer:
3.) x = 10
Step-by-step explanation:
Let’s plug it into our equation
2(10) + 1 = 21
21 is greater than 15
I will give you brainliest if you solve the math question
Answer:
x=60
y=30
Step-by-step explanation:
Answer:
y=30
x=60
Step-by-step explanation:
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
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During basketball practice, Rashed made 36 free throws in 3 minutes. How many
free throws will he make in 5 minutes?
Answer:
60
Step-by-step explanation:
So 36 divided by 3 is 12, and which then, we know that Rashed made 12 free throws in 1 minute, and then when we multiply by 5, we can know the free throws he will make in 5 minutes.
4y²=49 solve the equation
[tex]4y ^{2} = 49 \\ = > {y}^{2} = \frac{49}{4} \\ = > {y} = \sqrt{ \frac{49}{4} } \\ = > y = \frac{ \sqrt{49} }{ \sqrt{4} } \\ = > y = \frac{7}{2} \\ = > y = 3.5[/tex]
Answer:y = 3.5
Over 4 days, Krista deposited $45 into her bank account, transferred $30 1 point
to a friend, deposited $59, and withdrew $18. What was the mean change
per day to Krista's account in dollars during that week? *
-6+6y^2 FACTORIZE AND EXPLAIN THROUGHLY
Answer:
like 6 is the factor in both monomials then you can factor like this
6(y^2-1)
Answer:
-6(1-y)(1+y)
Step-by-step explanation:
-6+6y² Factor out -6 from the expression
-6(1-y²) Use a²-b²=(a-b)(a+b) to factor the expression
-6(1-y)(1+y)
suppose that a and b are rational numbers. which expression is equivalent to a - b?
A. a+b
B. -a + b
C. a + (-b)
D. -a + (-b)
please help! due today
Answer: Its a
Step-by-step explanation:
4(v + 8) = 40
Which solutions makes this equation true?
1. 2
2. 4
m_ABC=M_ABD
what is the reason?
Answer:
M=m and cis equivalent to d
f(x) = x + 13. Find the inverse of f(x).
O A. f '(x) = (x+13)
O B. f '(x) = x3 + 13
O c. f '(x) = 23 – 13
O D. f '(x) = (2 – 13)"
SUBMI
The answer should be x-13
the perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?
Answer:
79m
Step-by-step explanation:
344-(93x2)=158
158/2=79m
Step-by-step explanation:
perimeter = 344
length = 93
perimeter of rectangle = 2( l+ b )
344 = 2 (93 + b)
344÷2 = 93 + b
172 = 93 + b
172 - 93 = b
79 = b
in other words width is 79
hope it helps
here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7
Answer:
at y = 7
Step-by-step explanation:
When the line cross at the y-axis, x = 0
y = 2*0 + 7
y = 0 +7
y = 7
5 litres into grams.
Step-by-step explanation:
Do like this only with no. mark me as brainliest answer
Answer:
Weight in Grams of:
Water Cooking Oil
5,000 g 4,400 g
Step-by-step explanation:
Hope this helps
the value of a + b + c for equation 2 Y - x = 7 is
Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:
Plz help ASAP will mark branliest
Step-by-step explanation:
Consider that:
[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]Fill in the blanks
Row 1 ⇒ 2 and -5
(-1)*(-2) = 2Solve using two values:
f(x) - g(x) = - 10 and f(x)/g(x) = - 1 ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5Row 2 ⇒ -5 and 5
- 2 - 3 = - 5g(x) = 5 (see above solution)Row 3 ⇒ - 6 and 4
-10 - (-4) = - 62 - (-2) = 4Row 4 ⇒ -6/7 and 2/5
-6/7-2/-5 = 2/5Anyone know this?I need helppp
Answer:
nope sorry
Step-by-step explanation:
Pls help I have 10 minutes
Answer:
-5p (11p-8p+7p-15p = 4 terms)
100 - 100m 5 terms
-4.1n^3 + 3.6 a^2 + 1.4a. 4 terms
26 x^2y - 22 x y^2. 2 terms (can’t be combine)
Step-by-step explanation:
Can someone help me plz!!
Answer:
C
Step-by-step explanation:
Guinea made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?
Answer:
The answer is c: 1cm/3in = 3 cm/Xin
Step-by-step explanation:
Another destructive species transplanted by humans to the United States is the
Burmese Python, one of the largest snakes in the world. Imported as pets, some
escaped, and many more were released by their owners, possibly after getting
too big to care for. Most places are too cold for the tropical snake, but it has
begun to thrive in southern Florida.
Assume that the Burmese Python population in Florida is modeled by the
formula P(t) = Po: (1.15)? If there were 100,000 Burmese Pythons in 2010 (no
t
one really knows the exact number), how large could the population become by
2050 (without human intervention)?
Without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
Given that it is proposed that the Burmese Python is increasing its population at a rate of 1.15 year by year, and that it is estimated that by 2010 there were 100,000 of these in the United States, to estimate how many there will be by 2050 the following calculation should be done:
100,000 x 1.15 ^ (2050-2010) = X 100,000 x 1.15 ^ 40 = X 100,000 x 267.86 = X 26,786,354.62 = X
Therefore, without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.
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Please help me out! View the image below!
Answer:
y=-2x+1
Step-by-step explanation:
Look at the photo i think
please help me fast with explanation
Answer:
1. Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. The sign of the exponent will depend on the direction you are moving the decimal. 4.8×10−23
2. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
3.888×10^10
3.The sign of the exponent will depend on the direction you are moving the decimal.4.2×10−3
Just use the same explanation in number 1 to get the right answer.
long divison divide 664 and 1600
Answer:
272, remainder 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.41
I got a very long number but then I rounded to the nearest hundreth
The perimeter of the rectangle below is 104 units. Find the length of side RS.
Write your answer without variables.
S
3z
R
4z + 3
RS = ]
х
P
Q
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2
A. -49
B. -7
C. 11
D. 59
plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
34 hours
Step-by-step explanation:
Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:
1 + 3×M + M = 45
1 + 4M = 45 Subtract 1 in both sides
4M = 44 Divide both sides by 4
M = 11 hours
So Maddie volunteered 11 hours, and Ryan volunteered
1 + 3×11 = 34 hours
What is 30 divided by 4? Show your work and explain.
Answer:
7.5
30
÷
4
__
7.5
4×6=24
4×7= 28
4×8= 32
4×8= X
4×7.5= 30
How many digits are in the smallest sequence of repeating digits in the decimal equivalent of 5/9