Answers
where d apex angle =180-60 =120°
base angles are equal
so 120+ 2(5x+15)=180
120+10x+30=180
10x+150=180
10x=180-150=30
x=30/10=3
x=3
Related Questions
Write using algebra.
A bucket holds c liters of water, but a jar holds 8 liters less. How many times as much water can the bucket hold as the jar?
Answers
The ratio representing how many times as much water the bucket can hold as the jar is [tex]\frac{c}{c-8}[/tex], where c is the capacity of the bucket in liters.
If a bucket holds c liters of water and a jar holds 8 liters less than the bucket, then the jar holds c - 8 liters of water. To find how many times as much water the bucket can hold as the jar, we divide the bucket's capacity by the jar's capacity. This gives us the ratio of the bucket's capacity to the jar's capacity, which is [tex]\frac{c}{c-8}[/tex].
please help ❗️❗️❗️❗️❗️❗️
Answers
The slope of the graph tells you the unit rate in gallons per minute. (gallons/minute)
_____
Side Note: Pool A starts with more water in the pool, so even though it is filling more slowly, it may be filled first.
Susan is buying supplies for a party. If spoons only come in bags of 8 and forks only come in bags of 6, what is the least number of spoons and the least number of forks she can buy so that she has the same number of each? asap and tell my how you got the answer please
Answers
Answer:
3 bags of spoon and 4 bags of fork.
Step-by-step explanation:
If Susan will buy 3 bags of spoon then, the total spoon is 3 × 8 = 24 spoons
and, If he will buy 4 bags of fork then, the total fork is 4 × 6 = 24 forks.
Thus, for getting equal numbers of spoon and fork he has to buy a minimum of 3 bags of spoon and 4 bags of fork.
10. Solve the equation for f. Show all of your work.
4f-5=7h+g
Answers
add 5
4f= 7h + g + 5
divide by 4 to get f by its self
f = 1/4g + 7/4h + 5/4
Find an equation of the line that has a y-intercept of -2 and is perpendicular to the graph of 3x+6y=2
Answers
First move the 3x over to get
6y= -3x + 2
Now solve for y by divided by 6
Y= -3/6x + 2/6
A line perpendicular to this equation would have a slope that is the opposite reciprocal, so flip the -3/6 and change the sign
This gives u 6/3 which simplifies to two
The new equation of the line would be y= 2x - 2
need help with some questions please
Answers
13 is: 3 blocks of red and one block of blue as 40 is distributed into 2^3•5
14: Because there isn’t a color for 13
15:60,30,2,2,15,2,2,2,3,5
Which number is not in scientific notation? 11 ⋅ 1021 5.7 ⋅ 109 3.1 ⋅ 10−12 1.67 ⋅ 10−5
Answers
Scientific notation requires that the digits part is greater than zero and less than 10 (it cannot be 10).
So, to put that number in scientific notation 11 must be converted to 1.1*10 and 11 * 10^21 is 1.1 * 10 * 10^21 = 1.1 * 10^22.
Note tha 11 * 10^21 is the same that 1.1 * 10^22 but the last is in scientific notation while the former is not.
All the other numbers have the digit part in the range [1,10), so they are in scientific notation.
Answer:
11 * 10^21
Step-by-step explanation:
I took the test
Please answer, , I need this by 10:00, thank you!
Answers
Let m = slope
m = (1 - 7)/(5 - 2)
m = (-6)/(3)
m = -2
Use the slope and one of the points to plug into the point-slope formula.
I will use the point (5, 1).
y - 1 = -2(x - 5)
y - 1 = -2x + 10
The equation is
y = -2x + 11
A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?
Answers
1/3 of the income goes for foor.
The sum of these fractions are their expenses.
Note that
[tex] \frac{1}{2} = \frac{3}{6}, \, and \, \frac{1}{3}= \frac{2}{6} [/tex]
Therefore the fraction of the budget is
[tex] \frac{1}{2}+ \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} [/tex]
Answer: 5/6
What is 9.27 with a repiton bar over the 27 simplified to as a fraction?
Answers
According to your question. It is incorrect. You meant repetitive.
https://socratic.org/questions/how-do-you-convert-0-27-27-repeating-to-a-fraction
This will prove my answer correct.
1 __ 6/3 Is less than greater than or =
Answers
So, 1 is less than 6/3
or
1 < 6/3
Hope this helped! ☺♥
1 < 2 (cause 6/3 = 2)
answer
less than
solve the equation for y
5 ( y + 1 ) = 30
y = ??
Answers
5(y + 1) = 30
Once again, use the distributive property
(5)(y) + (5)(1) = 30
5y + 5 = 30
Add -5 to both sides
5y + 5 - 5 = 30 - 5
5y = 25
Divide both sides by 5
5y/5 = 25/5
y = 5
Best of luck!
The answer for the following problem is 5
In triangle ABC, the measure of angle A is , the measure of angle B is , and the measure of angle C is . What is the combined measure of the three angles?
Answers
The combined measure of the three angles in triangle ABC is angle A + angle B + angle C degrees.
Explanation:The combined measure of the three angles in triangle ABC can be found by summing the measures of angle A, angle B, and angle C.
So, the combined measure of the three angles is angle A + angle B + angle C = angle A + angle B + angle C degrees.
For example, if angle A = 40 degrees, angle B = 60 degrees, and angle C = 80 degrees, then the combined measure of the three angles would be:
40 + 60 + 80 = 180 degrees.
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-2+3n>-14
A -16/3
B -3
C -20/3
D none of the above
Answers
-2+3n>-14
+2 +2
3n>-12
n>-4
roberto needs to convert the equation 3x + y = -5 into slope-intercept form. why is able to add or subtract the variable term from either side of the equation?
Answers
-3x + 3x + y = -3x - 5
y = -3x - 5
If g( n ) = 3 n - 2, then what is the value of g(10)?
Answers
Find the value of x so that the function has the given value.
h(x)=−7x ; h(x)=63
Answers
you get this by dividing 63/-7
The value of x for which the function h(x) = - 7x is h(x) = 63 is - 9.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, h(x) = -7x and h(x) = 63.
∴ We can equate these two functions as h(x) = h(x) which is,
- 7x = 63.
- x = 63/7.
- x = 9.
x = - 9.
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You start out driving from your house to an old friend’s house in a different town, which is 280 miles away. After an hour and a half, you have gone 105 miles.
a) Assuming your speed is constant, find a linear function , which gives the distance from your house (in miles) as a function of time (in hours).
b) Find and interpret D(1).
c) Solve D(t)=280
d) Solve D(t)^3>=140 and interpret the result.
e) Considering the context of this function, what is the domain?
f) What is the range?
Answers
Given that after an hour and a half, you have gone 105 miles and that your speed is constant, this means that the slope which represents the speed with which you are driving is given by
[tex] \frac{105}{1.5} =70 \ miles \ per \ hour[/tex]
At 0 hours, he has travelled 0 miles.
The equation of a straight line is given by y = mx + c, where m represent the slope and c is the y-intercept (the value of y when x is 0).
Therefore, a linear function , which gives the distance from the house (in miles) as a function of time (in hours) is given by D = 70t.
Part B:
D(1) is the value of D when t = 1.
D(1) = 70(1) = 70
This means that the distance traveled after 1 hour is 70 miles.
Part C:
D(t) = 280 means the time it takes you to travel 280 miles.
70t = 280
t = 280 / 70 = 4
t = 4.
Part D:
[tex]D(t)^3 \geq 140 \\ \\ \Rightarrow 70t^3 \geq 140 \\ \\ \Rightarrow t^3 \geq \frac{140}{70} =2 \\ \\ \Rightarrow t \geq \sqrt[3]{2} [/tex]
Part E:
The domain is a set of the possible values of the independent variable, from the context of the function, the independent variable is the time it took him for the journey.
Therefore, the domain of the function is [0, 4].
Part F:
The range is the set of the possible values of y, y in the context of the question is the distance travelled at each particular time.
Therefore, the range of the function is [0, 280].
Gabriela works at a nearby electronics store. She makes a commission of 14%14, percent on everything she sells. If she sells a camera for $589.00dollar sign, 589, point, 00, how much money does Gabriela make in commission?
Answers
Use exponents to write the number 64 three different ways
Answers
4^3
(the ^ means the number after is the exponent)
4^ 3
2^6
those are your three ways hope that helps
Write the equations of three distinct lines that have the same y-intercept,-1.
Answers
y = 2x-1
y = 5x-1
y = -3x-1
All of them have the same y intercept of -1. The slopes are the only thing that differ.
Any linear equation can be written in the form y = mx+b where
m = slope
b = y intercept
Given the two expressions shown below:
A. square root of 3 + square root of 2
B. square root of 3 + square root of 6
Which statement best describes the two expressions?
A. both rational
B. both irrational
C. A is rational and B is irrational
D. A is irrational and B is rational
Plz help Thanks for Everything Guys
Answers
you have 33 marbles. Besides 1 group of 33 marbles, is it possible to divide the marbles into groups with the same number of marbles with no marbles left over
Answers
Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?
Answers
Answer:
2.0 mph
Step-by-step explanation:
A student answers
90%
of the questions on a math exam correctly. If
sheshe
answers
27
questions correctly, how many questions are on the exam?
Answers
To find the number of questions in the exam, make an equation
(90% = [tex] \frac{90}{100} [/tex] = 0.9)
[tex] \frac{90}{100} [/tex] = [tex] \frac{27}{x} [/tex]
cross multiply and equate them
90x = 27 x 100
90x = 2700
divide by 90 on either sides to isolate x in order to find the answer
[tex] \frac{90x}{90} = \frac{2700}{90} [/tex]
90 and 90 cancels out
x = 30
So your final answer will be, there were 30 questions in the exam paper.
To find the total number of questions on the exam, set up a proportion 27 / x = 90% / 100%. Solve for x to find that there are 30 questions on the exam.
Explanation:To find the total number of questions on the exam, we can set up a proportion. Let's represent the total number of questions on the exam as x.
The proportion would be:
Correctly Answered Questions / Total Questions = Percentage Correct
Substituting the given values:
27 / x = 90% / 100%
Cross multiplying:
27 * 100% = x * 90%
27 = 0.9x
Dividing both sides by 0.9:
x = 27 / 0.9
x = 30
Therefore, there are 30 questions on the exam.
What is the measure of the angle 20x + 5= 24x - 1
Answers
x=4/4=1
All the best
20x +5 = 24x -1
add 1 to each side
20x+6 = 24x
subtract 20x from each side
6 = 4x
divide both sides by 4
x = 6/4 = 1.5
measure of angle: 20(1.5) +5 = 30+5 = 35 degrees
24(1.5) - 1 = 36-1 = 35 degrees
Explain the steps when solving 3(N+5)>= 3n+8. Please explain how to solve.
Answers
3(N+5)
3n +15
2. Switch variables to make one .
3n-3n = n
NEW EQUATION ::
5= n+8
3. bring numebers to make one .
8-5=3
n=3
Find the total cost to the nearest cent $1,500 computer; 7% tax?
Answers
tax is 105
add tht to your original
Write 10x10x10x10x10x10 as an exponent
Answers
The required answer for 10x10x10x10x10x10 as an exponent is 10⁷.
What is an exponent?An exponent is a number or letter written above and to the right of a mathematical expression called the base.
Now the given expression is,
10 x 10 x 10 x 10 x 10 x 10
Using the property,
a^a . a^b = a^(a+b)
Thus,
10 x 10 x 10 x 10 x 10 x 10 = 10^(1+1+1+1+1+1)
⇒ 10 x 10 x 10 x 10 x 10 x 10 = 10^7
or, 10 x 10 x 10 x 10 x 10 x 10 = 10⁷
Thus, the required answer for 10 x 10 x 10 x 10 x 10 x 10 as an exponent is 10⁷.
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The saving-borrowing-investing cycle generally begins with consumer borrowing to fund their purchases and for seed capital. They then use this capital to invest in their future, which then allows them to bring in more money. They then are able to use income to pay off their loans and to save.
Answers
The saving borrowing investing cycle is used by people to achieve financial stability. They cycle is initiated when an individual borrow a sum of money to invest in a business. As time goes on the business begins to yield profits. Part of the profits will be used to repay the borrowed loan. After the repayment, the profits can then be reinvested into the business to generate more profits.