In A ABC, mZA= 15° and m2 B = 120°.
Select the triangle that is similar to AABC.
Answers
The Triangle MNP in which m∠M = 15 and m∠N = 135 is similar to triangle ABC.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Triangle ABC has the following angle measures:
m∠A = 15° and m∠B = 120°.
We know that the addition of the angles of a triangle makes 180°, therefore:
m∠A + m∠B + m∠C = 180°
Replacing with data and solving for x:
15 + 120 + x = 180
x = 180 - 135
x = 45°
The Triangle MNP in which m∠M = 15 and m∠N = 135 is similar to triangle ABC.
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What is the value of the expression 25 ÷ 5 + (6 x 2) − 4?
Question 1 options:
7
9
12
13
Answers
Answer:
13
Step-by-step explanation:
25 / 5 + 12 - 4 = 5 + 12 - 4 = 17 - 4 = 13
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What 2 numbers multiply to make -30 and add to make -1
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Answer:
-6 and 5
Step-by-step explanation:
-6 x 5 = -30
-6 + 5 = -1
How do you convert fraction to a decimal?
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[tex]\huge\text{Hey there!}[/tex]
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[tex]\large\text{Here is an EXAMPLE of what I meant!}[/tex]
[tex]\large\text{Fraction: }\mathsf{\dfrac{5}{6}}[/tex]
[tex]\large\text{Equation: } \mathsf{5\div6}[/tex]
[tex]\large\text{Answer: } \mathsf{0.833333}[/tex]
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Valley Mills Sports Center has a total of 318 footballs and basketballs. There are 76 more footballs for sale than basketballs.
How many footballs are for sale?
A. 121
B. 176
C. 197
D. 242
Answers
Let x + 76 represent number of footballs.
x + (x + 76) = 318
x + x + 76 = 318
2x + 76 = 318
2x = 242
x = 121
Since we know the number of basketballs we can use the expression above to get the number of footballs
x + 76
= 121 + 76
= 197
Therefore there are 197 footballs.
Hope this helps!! :)
The number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
Total number of basketballs and footballs in the considered sports center = 318 (assuming they're for sales, as rest of the question is talking about footballs and basketballs being for sales)Number of footballs = 76 + Number of basketballsAssume that:
Number of footballs = xNumber of basketballs = yThen we get two equations, as:
[tex]x+y = 318\\x = 76 + y[/tex]
Substituting the variable x in first equation by the expression obtained in second equation for x, we get:
[tex]x + y = 318\\(76 + y) + y = 318\\76 + 2y = 318\\\text{Subtracting 76 from both the sides}\\\\2y = 318 - 76 = 242\\\\\\2y = 242\\\\\text{Dividing both the sides by 2}\\\\y = \dfrac{242}{2} = 121[/tex]
Thus, we got: Number of basketballs = y = 121
Using this result and the first equation, we get:
[tex]x + 121 = 318\\x = 318 - 121 = 197[/tex] = number of footballs.
Thus, the number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197
Learn more about forming equations here:
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Work out the volume of this cylinder? 28mm height and 30mm base. Who answers this early and first is the brainliest
Answers
Answer:
19,792.0mm³
Step-by-step explanation:
π×radius²×height
π×15²×28=19792.03372 rounded to 1dp would ne
19,792.0mm³
the diameter is 30, which is also the base divide by two which makes 15 which will be your radius of your circle.
A recent increase in sales of microchips has forced a computer company to buy a new processing machine to help keep up with demand. The builders of the new machine claim that it produces fewer defective microchips than the older machine. From a random sample of 90 microchips produced on the old machine, 5 were found to be defective. From a random sample of 83 microchips produced on the new machine, 3 were found to be defective. The quality control manager wants to construct a confidence interval to estimate the difference between the proportion of defective microchips from the older machine and the proportion of defective microchips from the new machine.
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The final question is;
Why is it not appropriate to calculate a two-sample z-interval for a difference in proportions?
Answer:
The normality of the sampling distribution of the difference in sample proportions cannot be established.
Step-by-step explanation:
To use the two-sample z-interval for a difference in proportions, some conditions must be met which help us to know the normality of the distribution.
The conditions are;
- The method of sampling for each population must be simple random sampling.
- The samples must be independent.
- Each sample must include at least 10 successes and 10 failures.
- Each population must be a minimum 20 times its sample.
In this case, we are not given the population size and as such we cannot ascertain the last condition I wrote above since the sample proportion we are given alone isn't sufficient. Also, they both don't include at least 10 failures. Thus the normality of the sample proportions cannot be established.
Answer: the normality of the sampling distribution of the difference in sample proportions cannot be established
Step-by-step explanation:
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Step-by-step explanation:
Because I used Photomath
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Step-by-step explanation:
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Answer:
20.4
Step-by-step explanation:
Formula is P=2L+2W so 7(2) + 3.2 (2) = 20.4
Answer:
20.4 inches
Step-by-step explanation:
(7x2) + (3.2x2) = 20.4
Have a great day <3
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Answer:
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Step-by-step explanation:
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Answer:
x=2 and y=−1
Step-by-step explanation:
Let's solve your system by substitution.
4x+3y=5;2y=x−4
brainliest please?
Answer:
The answer to the system of equations is x = 2 and y = -1
Step-by-step explanation:
We can substitute the variables and see how they work with the equations.
2 (-1) = (2) - 4
-2 = 2 - 4
-2 = -2
4 (2) + 3 (-1) = 5
8 + (-3) = 5
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Step-by-step explanation:
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Answer:
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y+3 = -6(x-2)
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y = -2x - 1
Step-by-step explanation:
If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.
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You put 100 candies on a round plate that has a diameter of 9 inches. What is the approximate density of the candies?
Question 33 options:
A. 11.1 candies per square inch
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I hope this helps you !
kelsey goes cliff diving into the ocean. Her height as a function of time can be modeled by the function h(t)=-16t^2+480, where t is the time in seconds and h is the height in feet. How long does it take for Kelsey to reach the water?
Answers
Answer:
to differential calculus, because I don't know how to answer this question without
using it.
We're told that Jason's height above the water is H(t) = -16t² + 16t + 480 .
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)
In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.
V = -32 t + 16
At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.
0 = -32t + 16
Add 32t to each side: 32t = 16
Divide each side by 32: t = 1/2 second
His height at that instant is H(0.5) = -16(0.5)² + 16(0.5) + 480 =
4-ft above the cliff, 484-ft above the water,
and then he begins falling from that altitude.
The duration of his dive is 484 = 16 t²
t = √(484/16) = 5.5 seconds
and he hits the water at V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph
Step-by-step explanation: