Answers
Answer:
52° and 128°
Step-by-step explanation:
The sum of the angles in a triangle is 180°
So to find the angles, the easiest thing to do is to use that fact.
There is one angle missing in the triangle shown, so to find it you need to subtract (5x-2)° from 180° since the angle is located on a line.
Simplifying that, you get 180°-(5x-2)°.
Now you can use the fact at the top of these instructions.
So you get the equation: 180°=2x°+76°+180°-(5x-2)°
Solving this equation, you get x=26
Plug x into the values that have x in the picture, and you get 52° and 128°
Related Questions
If the circumference of a circle is 4π cm, what is its area?
Answers
Answer:
12.56cm
Step-by-step explanation:
4π cm
4 x 3.14
12.56cm
What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answers
Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
write an equivalent expression to represent Bradens total earnings for this week.
8h + 129 + 3h = ?h + ?
Answers
Answer:
11h +129
Step-by-step explanation:
8h + 129 + 3h = ?h + ?
11h +129
Answer:11h +129
Step-by-step explanation:You add like terms together which are 8 h and 3h which gives you 11 h.And you have 129 left so you add 11 h to 129 .So you get 11 h +129 as your equivalent expression to represent Bradens total earnings for this week.
Hope it helps and ur are welcome :)
Cody had 12 sodas. Jerritt gave him 6 more sodas. Cody then gave
Leonard 5 sodas. How many sodas did Cody end up with in the end?
Answers
Answer:
13 soda
Step-by-step explanation:
12+6=18
18-5=13
Solve the system by substitution.
y = x - 6
y = -5x
Answers
Answer:
So.... you gave me the value of y in terms of x, twice...I am not sure what you want me to solve.
X-6 =-5x
-6=-6x
1=x
Then plug that value of x into either equation to find y.
Y = 1 -6
Y = -5
Solution is (1, -5)
please help asap!!!!!!
Answers
Answer:
z = 66
Step-by-step explanation:
QT is a midsegment. Thus, applying the midsegment theorem:
RS = 2(QT)
QT = z - 33,
RS = z
Plug in the values into the equation
z = 2(z - 33)
z = 2z - 66
Subtract 2z from each side
z - 2z = -66
-z = -66
Divide both sides by -1
z = 66
please answer asap!!
Answers
Answer:
16
Step-by-step explanation:
Pyrite or fool's gold is a common mineral. Like many minerals, scientists can identify pyrite by its internal repeating pattern, also
called its
A)cleavage
B)hardness.
C)streak color
D)crystal structure
Answers
Explanation: I hope this helps you
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Write an equation to represent his depth.
Answers
Answer:
i know the answer but not the equation
Step-by-step explanation:
find the perimeter of 15ft 13ft
Answers
56ft
Explanation-
15+15=30 13+13=26
30+26=56
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
Answers
Answer:
3/10
Step-by-step explanation:
let n(B)=students who have a brother
n(S)= students who have a sister
n(U)=n(B)+n(S)+n(BUS)'-n(BnS)
30=12+25+2-n(BnS)
30=39-n(BnS)
n(BnS)=39-30=9
So 9 students have a brother and a sister
Probability=9/30=3/10
The probability that a student who has a brother also has a sister will be 0.30.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings.
The number of students who have both brothers and sisters. Then we have
25 - x + 12 - x + x + 2 = 30
x = 25 + 12 + 2 - 30
x = 9
Then the probability that a student who has a brother also has a sister will be given as,
P = 9 / 30
P = 0.30
The probability that a student who has a brother also has a sister will be 0.30.
More about the probability link is given below.
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Give two appropriate names for the line.
Points A, B, C, and D appear from left to right on a number line.
Answers
Answer:
AD and BC
Step-by-step explanation:
Lines are infinite
Thank, 5 star, and brainliest if helpful!
The value of 7 rounded to the nearest hundredth
Answers
Answer: 9.22
Step-by-step explanation:
2^2 + 9^2 = C^2
4+81=C^2
85=C^2
(square root both sides)
C=9.219544
C=9.22
Rewrite in simplest terms:
10 ( 7 g − 9 h ) − 4 h − 8 ( − h + 8 g )
Answers
Answer:
[tex]6g -86h[/tex]
Step-by-step explanation:
[tex]10( 7g-9h) -4h - 8(-h + 8g)[/tex]
1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.
[tex]10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\[/tex]
2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)
[tex]70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h[/tex]
There are no more like terms to combine, so [tex]6g -86h[/tex] is the answer.
a bakery sells 10 lemon poppy muffins for every 1 bran muffin sold.
Answers
Answer:
The answer is D.
Step-by-step explanation:
My explanation is in the picture as u can see.
Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
25W+40J<120
According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?
Mwamini drinks juice at a rate of ___
seconds per liter, and her time limit is ____
seconds.
Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?
Choose 1 answer:
yes or no
Answers
Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
Answer:Yes
Step-by-step explanation:
1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
2) Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
What is inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."
For given question,
We have been given an inequality 25W + 40J < 120
W represent the number of liters of water and J represent the number of liters of juice.
Mwamini drinks water at a rate of 25 seconds per liter.
Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.
If Mwamini drinks 2 liters of water and 1 liter of juice.
Here, W = 2 lit and J = 1 lit
So, ⇒ 25W + 40J
= 25(2) + 40(1)
= 50 + 40
= 90
< 120
This means, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.
Learn more about inequality here:
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Find the first four terms of the sequence given by the following.
4,=(-1)".31%, n=1, 2, 3, ...
Answers
Answer:
The first term of the sequence is:
a₁ = -3a₂ = 12a₃ = -27a₄ = 48Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule: [tex]a^1=a[/tex]
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
a₁ = -3a₂ = 12a₃ = -27a₄ = 48what is y+4=-6(x+6) in standred form
Answers
A person invests $1000 in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches $3300
Answers
Answer:
18 years, 4 months and 10 days.
Step-by-step explanation:
Given that the person invests $ 1000 in an account with compound interest each month, with an interest rate of 6%, to determine how long the investment must maintain to reach $ 3,000, the following calculation must be performed:
3,000 = 1,000 (1 + 0.06 / 12) ^ Yx12
3,000 = 1,000 (1 + 0.06 / 12) ^ 18.36x12
3,000 = 3,000
Therefore, the person must keep his investment for a period of 18.36 years. Since 12 x 0.36 is equal to 4.32, the total investment time should be 18 years, 4 months and 10 days.
Which the following expressions is equivalent(
a + b)(a-b)?
Answers
Answer:
Step-by-step explanation:
(a+b)(a-b)=a^2-b^2
Help!!! I need help ASAP!!!
Answers
Answer:
The answer would be C.
Step-by-step explanation:
The formula for the area of a square is A=(3.14)r^2
Answer:
its A
Step-by-step explanation:
What's the slope and y-intercept of the equation y = 9? Question 3 options: A) m = 0; b = -9 B) m = 0; b = 0 C) m = 0; b = 9 D) m = 9; b = 0
Answers
Answer:
b
tep-by-step explanation:
The correct option is C) m = 0; b = 9. The slope and y-intercept of the linear equation y = 9 are m = 0; b = 9.
To explain step by step:
The equation y = 9 represents a horizontal line that intersects the y-axis at the point (0, 9).The slope of a horizontal line is always zero because there is no change in the y-coordinate as x varies.Therefore, the slope (m) of the equation y = 9 is 0.The y-intercept (b) is the value of y when x is zero. In this case, when x is zero, y remains constant at 9.Thus, the y-intercept (b) of the equation y = 9 is 9.In summary, the slope of the linear equation y = 9 is 0, indicating a horizontal line, and the y-intercept is 9, representing the point where the line intersects the y-axis.
Learn more about linear equations here:
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The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age of 6 to 14 months and y =volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.
A) what is the value of the correlation coefficient? (Give the answer to two decimal places.) r=
B)Find the equation of the least- squares lines. (Give the answer to two decimal places.)
C) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.9. (Give the answer to two decimal places.)
Answers
Answer:
[tex]r=0.77[/tex], [tex]\hat{y}=770.50+39.37x[/tex] and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is [tex]\hat {y}=920.10[/tex]
Step-by-step explanation:
We attached a table below,
[tex](a)[/tex] We attached a table below,
Therefore ,
correlation coefficient [tex]r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }[/tex]
[tex]=\frac{41.04}{53.19}[/tex]
[tex]=0.77[/tex]
[tex](b)[/tex] We calculate the least squares equation.
[tex]b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37[/tex]
Now , calculate intercept coefficient.
[tex]b_0=\bar{y}-r\bar{x}\\[/tex]
[tex]=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50[/tex]
Therefore, the regression equation is, [tex]\hat{y}=770.50+39.37x[/tex]
[tex](c)[/tex] Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8
[tex]\hat{y}=770.50+39.37x[/tex]
[tex]=770.50+39.37(1.9)\\=770.50+74.80\\=920.10[/tex]
Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)
Answers
Answer:
Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.
Step-by-step explanation:
Tatiana’s book has an area of 88 square inches what are the length and width measurements of the book
Answers
Answer:
9.38 inch
Step-by-step explanation:
[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]
Answer:
9.38 inch
Step-by-step explanation:
2b² +11b=40
Help please
Answers
9514 1404 393
Answer:
b = -8, 2.5
Step-by-step explanation:
The equation can be rewritten to standard form:
2b² +11b -40 = 0
In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.
-80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)
The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:
2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found
2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms
(2b -5)(b +8) = 0 . . . . . . . . finish the factoring
Solutions are values of b that make these factors zero:
2b -5 = 0 ⇒ b = 5/2
b +8 = 0 ⇒ b = -8
Solution to the equation are b = -8 and b = 5/2.
50 POINTS
Select the correct answer.
Consider function f.
f(x)= 2x^2
What is the value of (f o f)(x)?
A: 16x^4
B: 4x^2
C: 4x^4
D: 8x^4
Answers
Answer:the answer is D
Step-by-step explanation:
I just took the test,its 8x^4.
The value of the function (f o f)(x) will be 4x⁴. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x)= 2x²
Then the value of the function (f o f)(x) will be
(f o f)(x) = f(x) · f(x)
(f o f)(x) = 2x² · 2x²
(f o f)(x) = 4x⁴
Then the correct option is C.
More about the function link is given below.
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herrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeee pt 3
Answers
Answer: 2808 ft.
Explanation: 78*36 is 2808
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
6
Step-by-step explanation:
The find the slope of a line given any two points, we can use the slope formula given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can choose the two points (0, -1) and (1, 5) from the graph.
Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:
[tex]\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6[/tex]
Hence, the slope of the line is 6.
slope is the ratio of vertical increase to horizontal increase
say a radical cube root equation with an extraneous solution and a radical cube root equation without an extraneous solution
Answers
One equation that does have an extraneous solution is: [tex]x + 1[/tex] = [tex]\sqrt{7x+ 15}[/tex]
One equation that doesn't have an extraneous solution is: [tex]\sqrt{x}[/tex] = 4
Answer:
agreed withe one above
Step-by-step explanation: