Since the lines LM and PQ are parallel, the angles
∠L and ∠Q are congruent
because they are alternate interior angles
∠M and ∠P are congruent
because they are alternate interior angles too.
And the angles
∠PNQ and ∠MNL are congruent too
because they are vertical angles
We have the congruent angles are:
ConclusionSince both triangles have the same angles they ARE similar by AAA similarity .
Naming the triangles in the same angles order, we have that triangle
ΔLMN is similar to triangle ΔQPN
Please help multiple choice
Step-by-step explanation:
Hope this helps, good night
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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−3 ≤ n < 2
−2 < m < 4
n and m are integers.
Given that n = m, write down all the possible values of n.
_1,0,1 are possible value of n
does the line passing through (1,1) and (3,1) have a slope of zero
Answer:
\(yes \\ m = 0\)
Step-by-step explanation:
I would explain but then I would sound like an idiot
y=mx+ b
10. The local YMCA charges a $79 membership fee and
$42.50 per month. Allison has a coupon that will allow
her to join the club for $298 for 6 months. How much
will Allison save if she uses the coupon?
Answer:
$79
Step-by-step explanation:
A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/sec at an angle of 300, The height of the water can be approximated by hx)0.02612 + 0.577x+ 3, where hcx) is the height of the water in meters at a point x meters horizontally from the firefighter to the building.
a. Determine the horizontal distance from the firefighter at which the maximum height of the water occurs Round to 1 decimal place. I decimal place branch of the parabola at a height of 6 m. How far is the
b. What is the maximum height of the water? Round to
c. The flow of water hits the house on the downward firefighter from the house? Round to the nearest meter
Answer:
a). Horizontal distance = 11.1 m
b). Maximum height = 6.2 m
c). Firefighter is 13.7 m from the house
Step-by-step explanation:
Given question is incomplete; find the complete question in the attachment.
Height of the water can be determined by the expression,
h(x) = -0.026x²+ 0.577x + 3
Here x = Horizontal distance of the from the firefighter
a). Since the stream of the water will follow a parabolic path, maximum point of the parabola will be = Vertex of the parabolic path
Horizontal distance from the firefighter at which the water achieves the maximum height = -\(\frac{b}{2a}\)
From the quadratic function,
h(x) = -0.026x²+ 0.577x + 3
a = -0.026
b = 0.577
Therefore, the horizontal distance = \(-\frac{0.577}{2\times (-0.02612)}\) = 11.05 m
≈ 11.1 meters
b). By putting x = 11.1 in the quadratic equation,
h(x) = -0.02612(11.1)²+ 0.577(11.1) + 3
= -3.2182 + 6.4047 + 3
= 6.18 m
≈ 6.2 m
c). For h(x) = 6 m
6 = -0.02612x² + 0.577(x) + 3
0.02612x² - 0.577x + 3 = 0
From quadratic formula,
x = \(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
x = \(\frac{0.577\pm \sqrt{(-0.577)^2-4(0.02612)(3))}}{2(0.02612)}\)
x = \(\frac{0.577\pm\sqrt{0.019489}}{0.05224}\)
x = \(\frac{0.577\pm0.1396}{0.05224}\)
x = 13.7 m, 8.37 m
Therefore, the farthest distance of the firefighter from the house will be 13.7 m
Find the t-value such that the area left of the t-value is 0.01 with 8 degrees of freedom.
A. 2.896
B. -4.501
C. 2.998
D. -2.896
Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed,
skewed right, or skewed left.
Pet Preferences in Grade 11
025
02+
0.15 +
L.
0.1
0.05
Dog
Cat
Snake
Rabbit
Mice
a.
skewed left
symmetric
c. uniform
d. skewed right
b.
Dlouco colect the hactancintor from the choices provided
Save and Exit
Next
Submit
Mark this and return
Answer:A
Step-by-step explanation:
Did the scale factor of 0.75 enlarge reduce or stay the same?
Answer:
\(\huge\boxed{\sf Reduces}\)
Step-by-step explanation:
Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.
Thus the scale factor of 0.75 reduces the dilated image.
\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Answer:
-it reduces-
Step-by-step explanation:
good luck:)
Anyone know the answer
Answer:
S(4) = 2
Step-by-step explanation:
S(n) = n(n - 3) / 2
S(4) = 4(4 - 3) / 2
= 4 x 1 / 2
= 4/2
= 2
Which fractions are equivalent to 1/8+5/8? Check all that apply.
Answer:
3/4 and 12/16
Step-by-step explanation:
\(\frac{1}{8} +\frac{5}{8} =\frac{1+5}{8} =\frac{6}{8} =\frac{3}{4} \\\\\frac{12}{16} =\frac{3}{4}\)
what is the value of the underlined digit? 35,028 (3 is underlined)
-30
-3000
-30,000
-300,000
Step-by-step explanation:
30,000
Hope this helps. Good luck!!
help me with this is due tommorow
a ) The value is 4.472
b)2 decimal place is 4.47
What is decimal number ?When expressing a whole number and a fraction together, decimals are utilized. Here, we shall use a "." (also known as a decimal point) to demarcate the full number from the fraction. Say, for illustration, that you intend to bring a cone of ice cream. You are informed by the vendor that ice cream costs $2 and 50 cents. Now, if you wanted to sum up this cost in a single number, you would say that an ice cream cone costs $2.50. You may be utilizing decimals without even recognizing it in a variety of everyday settings.
\(\sqrt{4.5^{2} -0.5^{2} }\\ \sqrt{20.25-0.25} \\\sqrt{20}\\ 4.4721\)
a ) The value is 4.472
b)2 decimal place is 4.47
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josie walks her neighbors dogs on the weekends to earn extra spending. money if she earn 9$ per hour for walking a dog how many hours must she work to earn 279$
A:
just muptily 9x279 if you getting wrong im sorry
Step-by-step explanation:
Is 6,702,512 divisible by 9?
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Answer:11,356
Step-by-step explanation: that is the answer! I’m sure
Answer:11.355
Step-by-step explanation:
I need some help with this
Which could be the dimensions of a rectangle with an area of 60 square units?
1 by 60 units
4 by 15 units
8 by 8 units
10 by 6 units
60 by 2 units
Answer:
1,2,4 (1 by 60 units , 4 by 15 units , and 10 by 6 units)
Step-by-step explanation:
on edg, sorry if late!!! >.<
What is the length of EF ?
Perimeter is the sum of all outside dimensions.
Solve for x first:
12 + x+7 + x+2 + 5 + x +4 + x + 4 = 42
Combine like terms:
4x + 34 = 42
Subtract 34 from both sides:
4x = 8
Divide both sides by 4:
X = 2
Now solve for EF by replacing x:
EF =. X + 7 = 2 + 7 = 9 feet.
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?
Which of the following is not a Pythagorean triple?
A. (6, 8, 10)
B. (9, 12, 15)
C. (7, 24, 25)
D. (4, 5, 6)
Answer:
D. 4, 5, 6, then
H² = P² + B²
6² = 5² + 4²
36 = 25 + 16
36 ≠ 41
This is not Pythagorean triple.
what is the value of the expression -x + y when x =2.1 and y = -11.8
Answer:
-9.7
Step-by-step explanation:
Given
x + y when x =2.1 and y = -11.8
Solution
x+y
substitute x=2.1 and y=-11.8
2.1+(-11.8)
2.1 - 11.8 = -9.7
The final answer is -9.7
What is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $63.00
B. $17.50
C. $68.40
D. $8.20
Answer:
$63
Step-by-step explanation:
Penny = $0,01
Nickel = $0.05
Dime = $0.1
Quarter= $0.25
Number of pennies = 6*50 = 300
Number of nickels = 5*40= 200
Number of dimes = 4*50= 200
Number of quarters = 3*40 = 120
The total amount of money:
300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63
A sheriff patrols several neighborhoods in her patrol car it requires 3/15 of an hour to patrol an entire neighborhood how many neighborhoods can the sheriff patrol in 5/8 of an hour
Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods
How to find the number of neighborhoods?The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.
The number of neighborhoods she can patrol can therefore be found by the formula:
= Number of hours sheriff has / Number of hours required to patrol one neighborhood
= 5/8 ÷ 3/15
= 5/8 x 15/ 3
= 75 / 24
= 3.125 neighborhoods
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Jason has a box that is 10 inches by 6 inches by 16 inches. He has an object that is 20 inches long. Will it fit in his box? Why or why not?
Answer:
no
Step-by-step explanation:
because the length,width,or height have to be 20 inches or longer for Jason's object to fit
GIVING 25 POINTS AND BRAINIER IF ANSWERED!
What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
Answer:
B. The question may not be directly stated.
Plsss help!! In 1990 the average school lunch cost was $1.50, and it costs $2.85 more today. How much does the average school lunch cost today? How would I write this in an equation with a variable for the missing number?
Answer: $4.35
Step-by-step explanation: because
$1.50 + $2.85= $4.35
So, $1.50+$2.85=x
Complete the statement describing the key features of function h. Function h has an x-intercept of -3, an x-intercept of 0, an x-intercept of 1, no x-intercept and a y-intercept of -3, 0, 1. The function is positive for x>-3, x>0, x>1, all x and increasing, decreasing on all intervals of x. The average rate of change for the function on the interval [0,2] is 4.5, 7.5, 9, 15. Saved the answer
The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.
Describe Function?Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.
The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.
Function h has an x-intercept of 1 and a y-intercept of -3. The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5
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Each conditional statement below is true. Write its converse. If the converse is also true, combine the statements as a biconditional.If x = —10, then x2 = 100.
The converse of the statement will be : if x^2 = 100 then x = -10, which is not true.
How to find the true statement?In order to write a converse of a conditional statement "p then q", will be "q then p" the hypothesis and conclusion interchanges.
Then the converse of the statement will be :
if x^2 = 100 then x = -10,
which is not true.
Since , x = +10, then x^2 = 100
Therefore, if x^2 = 100 then x = -10, which is not true.
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