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△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.
Using the given information, which statement is true?
The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
The two triangles are not similar because the interior angles are congruent but the side lengths are different.
The two triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle with a measure 70°.
The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In △ABC has interior angles with measures x°, 100°, and 70°,
And, △DEF has interior angles with measures y°, 70°, and 50°.
Hence, Measure of x is,
x + 100 + 70 = 180
x + 170 = 180
x = 180 - 170
x = 10
And, Measure of y is,
y + 70 + 50 = 180
y + 120 = 180
y = 180 - 120
y = 60
Thus, The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
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A round above-ground swimming pool has a diameter of 15 ft and a height of 4.5 ft. What is the volume of the swimming pool?
Lexie needs to buy 105 vases for a party each package has 6 vases how many packages should lexi buy
what is negative 3 times negative one half
A band wants to create a CD of their last concert. To create the CD’s, the cost will be $350 advertisement fee plus $3 per CD. Write an inequality that represents how many CD’s they can buy with maximum of $1225. Solve the inequality
If a polynomial has one root in the form a - √b, it has the second root on the form of a _√b?
The second root will be a + √b the missing sign is positive because the roots are always in the pair.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The quadratic formula:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here the roots are in pairs:
One root is a - √b
The second root will be a + √b
Thus, the second root will be a + √b the missing sign is positive because the roots are always in the pair.
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estimate the value of this expression by rounding each number to the nearest
whole unit. (1.94)(7.51)(3.74)
A. 21
B. 42
C. 56
D.64
Is the answer b? I'm not sure.
PLEASSSEE HELPP WITH THIS MATH!!!
help me please i dont know the ans
Your cell phone company charges $40 per month for one phone, plus an additional $5 per moth for each extra phone. Write an expression to represent the cost of a plan with x phones.
figure 1 is dilated to get figure 2.
What is the scale factor.
enter your answer, in simplest form, in the box
State a true conclusion.
1) If it is June, then it is summer.
2) It is summer.
Conclusion:
In the conditional logic given, 'If it is June, then it is summer' and 'It is summer', we can infer the conclusion 'It can be June'. However, it is important to note this is a potential conclusion and not a definite one since other months exist in the summer. This kind of conclusion is an example of the converse fallacy, or affirming the consequent.
Explanation:The question provided presents a logical statement in the form of a conditional statement. In logical reasoning and mathematics, a conditional statement is a statement of the form 'if P then Q', where P and Q are both statements. Here, the statement 'If it is June, then it is summer' is the given condition. The statement 'It is summer' is the second statement. A conclusion can be drawn using both of these statements. According to the rules of the logic, we can conclude that 'It can be June.' Remember, we cannot definitively say it 'is' June because there could be other months during the summer. This type of conclusion comes under the inference rule known as the 'converse fallacy' or 'affirming the consequent', where if the consequent (Q - the 'then' clause) is true, the antecedent (P - the 'if' clause) might also be true, but it could also possibly be false due to other factors.
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what is the slope of the line?
A. 0
B. 6
C. 9
D. undefined
Answer:
Option A 0
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(2,9)\ B(4,9)[/tex]
Substitute the values
[tex]m=\frac{9-9}{4-2}[/tex]
[tex]m=\frac{0}{2}=0[/tex]
Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?
The total amount of rain for the two days is 2/3 inch.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Yesterday it rained 5/8 inch.
and, Today it rained 1/8 inch.
So, in two days the amount of rain fall
= 5/8+ 1/8
= 6/8
= 2/3
Hence, total amount of rain is 2/3 inch.
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MATH HELPLEASE. WILL GIVE BRAINLIEST!
What is the measure of AC ?
Enter your answer in the box.
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our current rate by at least 16% to meet this quarter's goal."
Employee: "That means our target is __________ consumers retained."
Using proportions, it is found that the correct sentence is:
"That means our target is 261 consumers retained."Decreased 10% from last quarter's goal of 250 consumers retained, hence, the number of customers is:
[tex]0.9(250) = 225[/tex]
The current rate has to be increased by 16%, hence, the goal is:
[tex]1.16(225) = 261[/tex]
Hence, the sentence is:
"That means our target is 261 consumers retained."
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An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?
List from least to greatest. 0, |−14|, 13, −12, |−16|, 17
A. |−16|, |−14|, 13, −12, 0, 17
B. −12, 0, 13,|−14|,|−16|, 17
C. −12, |−14|, |−16|, 0, 13, 17
D. 0, −12, 13, |−14|, |−16|, 17
A factory worker packs 32 mugs into the bottom layer of a box for shipping. If each box can hold 6 layers of mugs, how many mugs can be packed into each box?
Is my math answer correct or no?
I need help with 3 math questions. Here they are: A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry? From a pile of coins containing nickels (N), dimes (D), and quarters (Q), Tom picked 10 coins with a total value of $1.00. The 10 coins had a different number of each of the three types and at least 1 coin of each type. How many coins of each type did he pick? An Olympiad team is made up of students from the 4th, 5th, and 6th grades only. Seven students are 5th graders, eleven students are 6th graders, and one third of the entire team are 4th graders. How many students are on the team? If you can even answer one question that would be very helpful! Thanks a lot!
Mr. Anderson's 5th grade class is getting a class pet. 7 students voted to get a gerbil three voted for fish six voted for a mouse and 4 vote for a lizard. What is the model of the data? What does it mean for this situation?
isaac played a video game 20 times and wont about 70% of the games. how many games did he win
Which of the following represents the most accurate estimation of 388 - 212?
A rectangle has vertices at these coordinates.
(1, 7), (1, 3), (9, 3)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
I would rather to help 6th and 7th grade math
Margaret has been told to draw up plans for a 48 square foot flower bed. How many different size flower beds (using whole foot dimensions) can Margaret draw?
A 48
B 24
C 12
D 5
plz help rohanfighter, ur the smartest