Answer:
Step-by-step explanation:
so all the angles of a triangle add up to 180 degrees
180-42-62= 76
so we know angle TUS is 76 degrees
the other triangle has an angle of 78 degrees which isn't 42, 62, or 76.
The triangles are not similar because similar shapes have congruent angles
Both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.
What are Similar Triangles?Similar triangles have corresponding angles that are congruent to each other and also have corresponding congruent sides that are proportional to each other.Similar triangles always possess the same shape but different sizes.From the image given:
m∠TSU = m∠RSQ = 62°
m∠TUS = 180 - 42 - 62 = 76°
m∠QRS = 180 - 78 - 62 = 40°
Thus, both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.
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Jimmy determines that he needs to sell more than $250 worth of fruit at his produce stand in order to make a profit. Which inequality represents the fruit sales, s, in dollars, for which Jimmy will make a profit?
Answer:
The inequality that represents the fruit sales is [tex]s > 250[/tex].
Step-by-step explanation:
Let [tex]s[/tex] the fruits sales of Jimmy, measured in dollars. Given that he needs to selle more than $ 250 of fruit at his produce stands in order to make the profit, he needs to satisfy the following inequation or inequality:
[tex]s > 250[/tex]
HELP
A movie theater is arranged with 7 seats in the front row, 12 seats in the middle row, and 11 seats in the back row. People enter the movie theater and randomly sits in different spots. What is the probability that the first person who enters the theater will be in the middle row?
type in your fraction answers as a/b
Answer:[tex]P=\frac{2}{5}[/tex]
Step-by-step explanation:
Given
A movie theater has 7 seats in the front row
12 seats in the middle row
11 seats in the back row
Probability first person who enters the theater will be in the middle row
[tex]P=\frac{\text{No. of middle seats}}{\text{total seats}}[/tex]
[tex]P=\frac{12}{7+12+11}=\frac{12}{30}[/tex]
[tex]P=\frac{2}{5}[/tex]
A number pattern starts with 10 and follows the rule multiply by 3 what is true about all of the number in the pattern
Answer:
Each answer multiplied by 10 that lead to the ultimate answer for 10 x 3 will be even.
Step-by-step explanation:
10×1= 10
10×2= 20
10×3= 30
2 Fifth grade scholars voted on where they would like to go on their next field trip. Of all the scholars who voted, 1 10voted for the Natural History Museum, 5 8voted for the Planetarium, and the rest voted for the Botanical Garden. If a total of 80 scholars voted, how many scholars voted for the Botanical Garden?
Answer:
NHM: 80/10 = 8, 8 X 1 = 8
P: 80/8 = 10, 10 X 5 = 50
BG: 80 - 50 - 8 = 22
botanical gardens 22
What is a common denominator for 1/7 and 1/3?
a 18
b 21
c 3
d 4
Answer:
B. 21
Step-by-step explanation:
The fractions are there to just make the problem seem complicated, but just rewrite it without the fractions.
"What is a common multiple for 7 and 3?"
In this problem it's easy, all you have to do is guess and check.
A: A doesn't work. 7 is not a factor of 18.
B: B works! Both 3 and 7 are factors of 21.
C: C doesn't work. 7 is not a factor of 3.
D: D doesn't work. Neither are a factor of 4.
They only leave us with one solution, B.
find the value of x in the triangle below
Answer:
87 degrees
Step-by-step explanation:
the three angles of a triangle add up to one hundred eighty degrees.
1. Add the degrees of the known angles together
56 + 37 = 93
2. Since a triangle adds up to one hundred eighty degrees, you would subtract your known degrees from the total
180 - 93 = 87
A board is 48 in long. It must be divided into 4 pieces of equal length, and each cut will cause a waste of 3/16 in. How long will each piece be after the cuts are made?
Answer:
12 pieces
Step-by-step explanation:
Total length of the board = 48 in
It must be divided into 4 pieces of equal length
This means, there will be 3 cut to have 4 pieces
Each cut will cause a waste of 3/16 in.
Total waste = 3 cut × 3/16 in
= (3*3)/16
= 9/16 in
Length of board remaining = Total length of the board - Total waste
= 48 - 9/16
= (768-9)/16
= 759/16 in
How long will each piece be after the cuts are made?
Length of each piece after the cut = Length of board remaining / 4
= 759/16 ÷ 4
= 759/16 × 1/4
= 759/64
= 11.859375
Approximately 12 pieces to the nearest whole number
Can someone help me put I’m lost?
determine if parallel y = X X + y = -2
Answer: they are not
Step-by-step explanation:
y=x has a slope of 1 because the m value is 1.
x+y=-2 has a slope of -1 because when we subtract x from both sides, we get that y=-x-2 and the m value is -1
Destiny has $ 42 left on her checking account. If she writes a check for $ 59, what will Destiny's balance be?
Answer:
$-17
Step-by-step explanation:
Answer:
im pretty sure the other person got it correct
The table shows the number of cell phone towers a company will build as the number of its customers increases. Complete a and b below.
Cell Phone Towers
Customers (thousands)
Towers
3.25
169
4.25
221
5.25
273
7.25
377
a. Is the relationship between number of towers and number of customers proportional? Explain. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
A.
Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of nothing.
B.
No. The ratios of towers to customers are not all equivalent.
Answer:
A.
Step-by-step explanation:
Divide 169 by 3.25 and you get 52.
Divide 221 by 4.25 and you get 52.
Do this for all of the rest, and they will all be 52.
Hope this helps!
Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of nothing. Therefore, option A is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
The given table is
Cell Phone Towers Customers (thousands) Towers
3.25 169
4.25 221
5.25 273
7.25 377
Here, the ratio of Cell Phone Towers : Customers (thousands) Towers
3.25 : 169
= 325/16900
= (325÷325)/(16900÷325)
= 1/52
4.25 : 221
= 425/22100
= 1/52
5.25 : 273
= 525/27300
= 1/52
7.25 : 377
= 725/37700
= 1/52
Therefore, the ratio of given cell phone towers to customers (thousands) towers are equivalent.
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Calculate the force when the pressure is 18 N/M squared and the area is 4 M squared.
if you can pleaseeeeee give me the algorithm of -7-12 i will markkkkk BRAINLIESTTTTTTTTT :) HELPPPPPPP
Answer:
84
Step-by-step explanation:
Minus 7 times minus 12 equals io 84 as the minus cancels out when u multiply by 2 minus because a minus and a minus equals to a positive
f the simple interest on $4000 for 6 years is $1440, then what is the interest rate?
Answer:
Step-by-step explanation:
[tex]rate=\frac{interest \times 100}{principle \times time } \\=\frac{1440 \times 100}{4000 \times 6 } \\=6 \%[/tex]
The exterior angles of a quadrilateral have measures of 72 degrees, 58degrees, 2x degrees, and 3x degrees. Find the value of x.
Answer: x = 46
Step-by-step explanation: The theorem is:
The sum of all exterior angles of a polygon is 360
Here, our polygon is a "quadrilateral" -- 4 sided figure
We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:
The value of x is 46
Answer: Answer: x = 46
Step-by-step explanation: The theorem is:
The sum of all exterior angles of a polygon is 360
Here, our polygon is a "quadrilateral" -- 4 sided figure
We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:
The value of x is 46
Step-by-step explanation:
please help me answer this
Answer:
10.77
Step-by-step explanation:
by using Pythagoras theorem we can find the distance between the points,
so...
distance between the points, which is the hypotenuse will be xy
difference between the y coordinates will be dy
difference between the x coordinates will be dx
according to pythagoras theorem,
[tex]xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77[/tex]
The seventh grade class is putting on a talent show to raise money for a class trip. It costs $500 to rent the banquet hall they are planning on using. If they charge $15 per ticket, how many tickets do they need to sell in order to raise at least $1000? Part A The variable in this problem will represent the number of Part B Choose the correct inequality to represent the story problem
Answer:
Part A; 15x
Step-by-step explanation:
Part A; 15(67)
= $1005
Part B; ??
The number of tickets to be sold if, The cost of the banquet hall is $500, The cost per ticket is $15, the Total money to be raised is $1000, is 67, and the equation is given by 1000 = 15x.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
In other terms, it is a mathematical statement stating that "this is equivalent to that."
Given:
The cost of the banquet hall = $500,
The cost per ticket = $15,
Total money to be raised = $1000
Write the equation of the number of tickets as shown below,
1000 = 15x
Here, x is the number of tickets,
x = 1000 / 15
x = 66.67 or 67
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whats 3^2? thank you.
Answer:
9
Step-by-step explanation:
3*3
What is the approximate area of
the circle? Use 3.14 for T.
25 in.
A. 78 square inches
B. 157 square inches
C. 491 square inches
D. 1,963 square inches
Answer:
D. 1,963 square inches
Step-by-step explanation:
Using the formula of the area of the circle A= [tex]\pi[/tex][tex]r^{2}[/tex] and assuming that the radius is 25 inches.
Then,
A = [tex]\pi[/tex](25 inches)^2
A = (3.14)(25inches)^2
A = 1,963 square inches
However, you did not state that r = 25 inches, so this might not be correct, but good luck and I hope this helps a little!
What is the algebra steps to solve -16 + 3y = -10 ?
Answer:
-16+3y=-10
subtract -10 from both sides
-6+3y=0
divide by 3
-2+y =0
y=2
Hi, Can you please help.
After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days.
Complete question is;
After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days. Using this as a reasonably accurate measure, find the probability that the green parrot will gross over $2200:
A. At least 5 of the next 7 business days.
B. at least 5 of the next 10 business days.
C. less than 3 of the next 5 business days.
d. Exactly 7 of the next 10 business days
e. At least 1 of the next 5 business days.
Answer:
A) P(X ≥ 5) = 0.9262
B) P(X ≥ 5) = 0.9986
C) P(X ≤ 2) = 0.0266
D) P(X = 7) = 0.1298
E) P(X ≥ 1) = 0.9999
Step-by-step explanation:
This is a binomial probability distribution problem and as such we will use the formula;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
A. At least 5 of the next 7 business days will be;
P (X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7)
P(X = 5) = C(7, 5) × 0.85^(5) × (1 - 0.85)^(7 - 5)
P(X = 5) = 0.20965
P(X = 6) = C(7, 6) × 0.85^(6) × (1 - 0.85)^(7 - 6)
P(X = 6) = 0.396
P(X = 7) = C(7, 7) × 0.85^(7) × (1 - 0.85)^(7 - 7)
P(X = 7) = 0.320577
Thus;
P(X ≥ 5) = 0.20965 + 0.396 + 0.320577
P(X ≥ 5) = 0.9262
B. Probability of at least 5 of the next 10 business days will be;
P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
From online binomial calculator attached, we can see that the answer is;
P(X ≥ 5) = 0.9986
C. Probability of less than 3 of the next 5 business days will be;
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
From online binomial calculator attached, we can see that the answer is;
P(X ≤ 2) = 0.0266
D. Probability of exactly 7 of the next 10 business days will be;
P(X = 7) = C(10, 7) × 0.85^(7) × (1 - 0.85)^(10 - 7)
P(X = 7) = 0.1298
e. Probability of at least 1 of the next 5 business days will be;
P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
From third image attached using online binomial calculator, we have;
P(X ≥ 1) = 0.9999
Find the area of the
regular figure below:
A) 160.5 km2
B) 166.2 km2
C) 173.8 km2
D) 182.4 km2
E) 189.1 km2
explain pls
Answer:
Option C : 173.8 km² is the correct answer.
Step-by-step explanation:
Given that:
Side length = 6 kilometers
A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.
Area of octagon is given by;
Area = [tex]2(1+\sqrt{2})a^2[/tex]
Putting a=6
Area = [tex]2(1+\sqrt{2})(6)^2[/tex]
Area = [tex](2+2\sqrt{2})(36)[/tex]
Area = 173.82
Rounding off to one decimal place
Area = 173.8 km²
Hence,
Option C : 173.8 km² is the correct answer.
What is the classification of the given polynomial (x + y)(a + b2)?
A.binomial
B.trinomial
C.multinomial
D.monomial
Answer: C
Step-by-step explanation: there are 4 different variables (x, y, a, and b)
what is the distance between the points?! round to the nearest tenth i need to show work
Answer:
8.6
Step-by-step explanation:
To find the distance between two points we use the formula posted below
All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with
the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267
then we round to the nearest tenth and get 8.6
identify the y-intercept from the following graph
Answer:
the y-intercept is -1 bc that is where it meets (0,-1)
Step-by-step explanation:
Umm what do I do here?
Answer:
X is equal to 1.2
Step-by-step explanation:
6/5 equals 1.2
i don't have to sound rude but can i have brainliest please i need 4 more :')
find the slope
(x, -4) and (2, 8); m = -3
Answer:
x=6
slope (m) = -3
Step-by-step explanation:
I need help with this
The orders are 1 stay the same. 2 change to 4, 3 change to 2, 4 change to 3, and 5 stays the same.
Multiple: 1/ 8 & 2/ 4 = 1 · 2/ 8 · 4 = 2/ 32 = 1 · 2/ 16 · 2 = 1/ 16 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator (lowest=2). In the next intermediate step , cancel by a common factor of 2 gives 1/ 16 . In words - one eighth multiplied by two quarters = one sixteenth.
Final result: 1/16
A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges?
A) c = 1.25p
B) p = 1.25c
C) c = 3.75p
D) p = 3.75c
help pls