Answers
Answer:
x+74=135
x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)
Related Questions
Write the equation of the line passing through the points (-4,-1) and (2,8)
Answers
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let these points
[tex] \begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}[/tex]
[tex]m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2} [/tex]
Slope-Intercept[tex]y = mx + b \\ m = slope \\ b = y - intercept[/tex]
Substitute the value of m in the equation.
[tex]y = \frac{3}{2} x + b[/tex]
Substitute any coordinate points that are given or part of the graph in the equation.[tex](x_, y) = ( - 4, - 1)[/tex]
[tex] - 1 = \frac{3}{2} ( - 4) + b[/tex]
Solve the equation for b-term.[tex] - 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b[/tex]
Rewrite the equation by substituting the value of b in the equation.[tex]y = \frac{3}{2} x + 5[/tex]
Answer[tex] \large \boxed{y = \frac{3}{2} x + 5}[/tex]
If you have any questions related to the answer, feel free to ask via comment.
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answers
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
Classify triangle ABC by its sides. Then determine whether it is a right triangle.
A (3, 3), B(6, 9), C (6,-3)
I
Answers
Answer:
right triangle it is because if u make a graph and put the points u would get a right isosclses triangle
Step-by-step explanation:
The triangle ABC with verticies A(3, 3), B(6, 9) and C(6, -3) is an isosceles triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A ΔABC with verticies A(3, 3), B(6, 9) and C(6, -3).
We know the distance formula [tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
From this we find AB = √45 units, BC = 12 units and AC = √45 units.
Now, this is an isosceles triangle with two equal sides of √45 units.
learn more about the isosceles triangle here :
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Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The
means of the samples are shown below.
Sample
Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Mean
3.4
3.2
4.1
4.6
3.1
The predicted mean of the population will fall between
3.1 and
15
Answers
Answer:
d!
Step-by-step explanation:
just took the test! gl
A bus is traveling at a constant speed and goes 8.4 miles in 5 minutes. Using your strategy, how far does the bus travel in one minute?
Answers
Answer:
The bus travels 1.68 miles in one minute
Step-by-step explanation:
Make a proportion:
? = how far the bus travels
5 - 8.4
1 - ?
Solve: 8.4×1÷5= 1.68
True or False: If a quadratic equation cannot be factored, then it doesn't have any solutions.
Answers
In simpler terms, the answer you’re looking for is false :)
The given statement is false because a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
A quadratic equation is a type of polynomial equation that can be written in the form ax² + bx + c = 0, where a, b, and c are constants and x is a variable.
If a quadratic equation cannot be factored, it does not mean that it does not have any solutions.
A quadratic equation may have no solutions if the discriminant, which is the quantity b² - 4ac, is less than zero.
In this case, the quadratic equation has no real solutions, as the solutions would be complex numbers.
However, if the discriminant is equal to zero, the quadratic equation has one solution, which is the value of x that makes the equation equal to zero. If the discriminant is greater than zero, the quadratic equation has two solutions, which are the values of x that make the equation equal to zero.
In summary, a quadratic equation may have no solutions, one solution, or two solutions, regardless of whether it can be factored or not.
Thus, the given statement is false.
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5x - 70 = 10
X =
I’ll give brainliest for first answer
Answers
Answer:
x = 16
Step-by-step explanation:
[tex]5x - 70 = 10 \\ 5x = 10 + 70 \\ 5x = 80 \\ x = \frac{80}{5} \\ x = 16[/tex]
5(16) - 70 = 10
80 - 70 = 10
List the ordered pairs and determine whether or not this is a function
Ordered pairs : ?
Is this a function : ?
Answers
This is not a function because in order to be a function, every x value needs to have one and only one y value. You can see here that the x values have two y values, so it is not a function.
The deck of a ship is 7 feet above the surface of the water. There is
also a cabin that is 14 feet below the deck. Which number describes
the elevation of the cabin?
Note: Your answer is expected to be a number without units for this
problem
Answers
What is 1 whole and 1/3 - 5/6?
Answers
Answer:
The answer is 1/2.
Step-by-step explanation:
1 1/3-5/6=
1 1/3 needs to be turned into a improper fraction. 1 1/3=4/3.
Now we can do 4/3-5/6 but, the denominator has to be the same. We can make them 8/6-5/6.
*(Whatever happens to the denominator, has to happen to the numerator.)
8/6-5/6=3/6. Typically, the answer could be 3/6 but you could also simplify it to 1/2.
So, the answer would be 1/2.
Hopefully this helps you and sorry if it doesn't.
A line segment has the endpoints (-7, -4) and (9,8). What are the coordinates of the midpoint
of this line segment?
A. (2, 4)
B.
(-1,2)
C. (-1,-6)
D.
(-8, 2)
E.
(-2,-4)
F.
(1, 2)
Answers
Answer:
c
Step-by-step explanation:
i did this in my head
Answer:
F
Step-by-step explanation:
to find x coordinate for midpoint, add both the x coordinates then divide by two. we get x=1
to find y coordinate for midpoint, add both the y coordinates then divide by two. we get y=2
so the coordinates of midpoint is (1,2), which is F
Evaluate the expression when b=-6 and y=4.
b-6y
Answers
-6 -24 = -30
So -30 is ur answer :)) hope I helped
Multiply -6(4)= -24
-6-24
Add the negatives -30
Answer: -30
I NEED HELP! PLZ! 20 POINTS. :)
Answers
Answer: i have no clue?
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
100 = 2x + 4y > 100 = 2x+40 > 60 = 2x> x = 30
Find the Perimeter of
Answers
Answer:
78
Step-by-step explanation:
Since the two angles at the bottom are congruent, you would the two equations equal to each other. So it would be:
5x-19=2x+11
Once you simplify, you will find that x= 10.
Then you plug in x for both equations, so 5(10)-19= 31 and 2(10)+11= 31
So you add up the sides: 31+31+16= 78
Solve for k.k/2+1/2=3
Answers
Answer:
[tex] \frac{k}{2} + \frac{1}{2} = 3 \\ \frac{k}{2} = 3 - \frac{1}{2} \\ \frac{k}{2} = \frac{(6 - 1)}{2} \\ \frac{k}{2} = \frac{5}{2} \\ \boxed{k = 5}✓[/tex]
k=5 is the right answer.Trina is creating a small concrete sidewalk to from her driveway to her front door as seen below. Trina needs to figure out how much to budget for the
How much should Trina budget for concrete?
Use algebraic expressions to describe your steps to find the answer.
Answers
Answer
87
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Quick whoever gives the right answer gets brainliest
Answers
Answer:
The independent variable (IV) is the amount of hamburgers
Step-by-step explanation:
The amount of hamburgers influence the sale amount.
What is the percentage of lemons in this group of lemons and strawberries?
Answers
Answer:
50%
Step-by-step explanation:
If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3
Answers
Answer:
10
Step-by-step explanation:
Answer:
2x=10
Step-by-step explanation:
The solution to the system of equations is (-7, 11). true or false
Answers
Tamu ran 30 minutes and burned 170 calories. PART B: How many calories did Tamu burn per minute? Write your answer as a decimal. *
Answers
Answer:
Tamu burnt 5.66 calories per minute.
Step-by-step explanation:
Tamu ran for 30 minutes.
Calories burnt by Tamu = 170 calories
Unit rate = [tex]\frac{Calories\ burnt}{Time}[/tex]
Unit rate = [tex]\frac{170}{30}[/tex]
Unit rate = 5.66 calories per minute
Therefore,
Tamu burnt 5.66 calories per minute.
Assume that no variable equals 0
1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2
help me please !
Answers
Step-by-step explanation:
When you multiply exponents of the same base (variable), add the exponents.
1. The exponents are 12 - 4 + 6 = 14 or c^14
When you divide exponents of the same base, subtract them.
2. 8 - 2 = 6 or c^6
When you raise a power to a power, you multiply the exponents.
3. 4 * 5 = 20 or c^20
When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.
4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1
y * y / x^2 * x^4 ; then just add your exponents to simplify
y^2 / x^6
As we said before, a power raised to a power is exponent x exponent.
5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.
a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3
Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with
a / b^3
Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.
When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4
Im sorry, out of time.
What is the solution to the inequality -7(1+5m)-29<300+7m
Answers
Answer:
234556678
Step-by-step explanation:
THIS IS AN EMERGENCY PLEASE HELP ME!!!!!!!!!
With a coupon, you can get a pair of shoes that normally costs $80 for only $68. What percentage was the discount?
Answers
Answer:
Not sue but I think it’s 12%
Step-by-step explanation:
Alton planted a 4 1/6 foot poplar tree in his front yard last year. This year the tree is 8 3/4 feet tall. How manu getting has it grown this year
Answers
4 1/6 + 8 3/4 = 12.9166666667
I don't know math honestly
What is the radius of this circle?
Answers
Answer: the answer is 7cm
Step-by-step explanation:if the diameter is 14, just do 14/2=7
Judy studied for 7/12 of an hour and her sister studied for 2/3 of an hour about how much time did they spend studying all together
Answers
Answer:I need that answer for my TEST!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
They studied for a little more than an hour.
Step-by-step explanation:
Evaluate 4tan 45°. can someone help me im confused
Answers
Answer:
4
Step-by-step explanation:
tan 45° = 1
so,
4tan 45° = 4*1
= 4
Which operation would help solve for y?
3+y=27
Answers
Answer:
24
Step-by-step explanation:
John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation.
Answers
Answer:
n+68=98 find n (n=30)
Step-by-step explanation: