Answers
Answer:
the first one is 101 degrees
the second one is 106 degrees
the third one is 106 degrees
Step-by-step explanation:
Answer:
1. x = 101, x is an opposite interior angle
2. x = 106, x is an opposite interior angle
3. x = 106, x is a same-side interior angle
Related Questions
If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
Answers
Answer:
[tex]Perimeter = 38.6[/tex]
Step-by-step explanation:
Given
[tex]A\ B = 13[/tex]
[tex]B\ F = 9[/tex]
[tex]F\ C = 5.6[/tex]
Required
Calculate the perimeter of A B C
To calculate the perimeter of A B C, we sum up the sides of the triangle
i.e.
[tex]Perimeter = A B + B\ C + A\ C[/tex]
AB is given in the question already.
So, we need to calculate B F and F C
To solve for BF, we consider triangle B F C
Using Pythagoras Theorem, we have:
[tex]B\ C^2 = B\ F^2 + F\ C^2[/tex]
Substitute values for BF and FC;
[tex]B\ C^2 = 9^2 + 5.6^2[/tex]
[tex]B\ C^2 = 81 + 31.36[/tex]
[tex]B\ C^2 = 112.36[/tex]
[tex]B\ C^2= \sqrt{112.36[/tex]
[tex]B\ C = 10.6[/tex]
Next, we calculate A C.
To calculate A C, we need to calculate A F, considering triangle B F A
Using Pythagoras Theorem, we have:
[tex]A\ B^2 = B\ F^2 + A\ F^2[/tex]
Substitute values for B F and A B;
[tex]13^2 = 9^2 + A\ F^2[/tex]
[tex]169= 81 + A\ F^2[/tex]
[tex]A\ F^2 = 169 - 81[/tex]
[tex]A\ F^2 = 88[/tex]
[tex]A\ F = \sqrt{88[/tex]
[tex]A\ F = 9.4[/tex]
Since F lies on line A C:
[tex]A\ C = A\ F + F\ C[/tex]
[tex]A\ C = 9.4 + 5.6[/tex]
[tex]A\ C = 15.0[/tex]
Recall that:
[tex]Perimeter = A\ B + B\ C + A\ C[/tex]
[tex]Perimeter = 13 + 10.6 + 15.0[/tex]
[tex]Perimeter = 38.6[/tex]
Hence, the perimeter is 38.6
Given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:
AB = 13BC = 10.6AC = 15Perimeter = 38.6Recall:
An altitude is the line that connects the vertex of a triangle to the opposite side of which it is perpendicular to that side.Orthocenter is the point where all three altitudes intersect each other.Given that P is the orthocenter of triangle ABC, where,
AB = 13BF = 9FC = 5.6Perimeter of △ABC = AB + BC + AC
First, we need to find BC and AC.
△BFC is a right triangle, apply Pythagorean theorem to find BC:
[tex]BC = \sqrt{BF^2 + FC^2}[/tex]
Substitute[tex]BC = \sqrt{9^2 + 5.6^2}\\\\\mathbf{BC = 10.6}[/tex]
△BFA is a right triangle, apply Pythagorean theorem to find FA:
[tex]FA = \sqrt{AB^2 - BF^2}[/tex]
Substitute[tex]FA = \sqrt{13^2 - 9^2}\\\\\mathbf{FA = 9.4}[/tex]
AC = FA + FC
SubstituteAC = 9.4 + 5.6
AC = 15
Perimeter of △ABC = AB + BC + AC
SubstitutePerimeter of △ABC = 13 + 10.6 + 15
Perimeter of △ABC = 38.6 units
Therefore, given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:
AB = 13BC = 10.6AC = 15Perimeter = 38.6Learn more here:
https://brainly.com/question/2515607
Point P′(–6, –4) is the image of point P(–2, 3) under a translation. What is the image of (5, –1) under the same translation?
Answers
Answer:
(1,-8)
Step-by-step explanation:
(-2,3) T<-4,-7> = (-6.-4)
(5,-1) T<-4,-7> = (1,-8)
In PE class, 2 teams are formed for a game of tug of war. Team A can pull with 200 lbs. of force. Team B can pull with 160 pounds of force and has room for 1 more player. What is the minimum amount the fourth player will need to pull in order for Team B to win? *
A. x ≥ 40
B. x > 40
C. x ≥ 100
D. x > 100
PLEASE HELP FAST!!!!!!!!
Answers
Answer:
B. x more than 40
Step-by-step explanation:
If you would like to win the tug of war game, you would have to apply a more greater force to win. If Team B needed to win, over 40 lbs. of force would do.
Complete the ordered pair for 4x - 5y = 23
Answers
Answer:
none of these
Step-by-step explanation:
Devra soled the
inequality, and she says that x= -10 is a solution
Lavan says that a negative value of r does not make
sense in the context of the problem. He says that
x=1 is a solution Who is correct? Explain
Answers
Answer:
What’s the problem? If you could attach the problem we can help u out!
Step-by-step explanation:
Who Said It?
Read the statements below. Write Lifa Loyalist said it, or Pif
a Patriot said it.
1. "England has supported this colony since the beginning. Some of these
colonists are not grateful for that, but Icertainly am!
2 'I believe in this battle for independence, and am willing to fight for it!"
3 "I hope the British troops overwhelm this local untrained militia.'
4
'I was born in England and remain loyal to her."
5. *It's time to take a stand. We will no longer pay those taxes imposed on the
colonies!"
6. 'Losing Savannah and Augusta to the British is a bad blow but we must
continue to fight!
Answers
Answer:
are the answers actual people or loyalist and patriots
Factor and find the zeros. z^2-z+56
Answers
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
HELP!!!!
What is the result when the number 80 is decreased by 8%?
Answers
Answer:
79.92
Step-by-step explanation:
Step-by-step explanation:
80 decreased by 8% means;
80 - (8/100 × 80) = 80 - (0.8 × 8)
= 80 - 4.8 = 75.2
Solve this ecuetion what is 3-5+9x29=
Answers
Answer:
259
Step-by-step explanation:
Two-thirds of the fruit in a basket are apples. One-fourth of the apples are green apples. What fraction of the fruit in the basket are green apples?
Answers
Answer:
1/6
Step-by-step explanation:
2/3*1/4
=2/12
=1/6
PLS GIVE BRAINLIEST
Hope this helps :)
p=3y/q solve for y make sure to add steps pls
Answers
Answer:
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
Step-by-step explanation:
Linear equations are the equations that are degree one equations. When it is asked to solve an equation for a specific variable that means that the specified variable has to be isolated on one side of the equation i.e. in the given question solving for y means isolating y on one side of the equation.
Given equation is:
[tex]p = \frac{3y}{q}[/tex]
Multiplication property of equality(Multiplying both sides by q)
[tex]p*q = \frac{3y}{q} * q\\pq = 3y[/tex]
Division property of equality(Dividing both sides by 3)
[tex]\frac{pq}{3} = \frac{3y}{3}\\\frac{pq}{3} = y[/tex]
Hence,
Solving for y gives:
[tex]y = \frac{pq}{3}[/tex]
U A cube is a rectangular prism whose edge lengths are all the same.
What is the volume of a cube with an edge length of 2 feet? Circle
the letter of the correct answer.
A 4 cubic feet
B 6 cubic feet
C 8 cubic feet
D 12 cubic feet
Danny chose B as the correct answer. How did he get that answer?
Answers
Which is 2 x 3 = 6 cubic feet
There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?
Answers
Answer:
25 times 8 kid its easy then do the answer is greater than or equal to x
Step-by-step explanation:
How do I solve this?
Answers
Answer:
132 degrees
Step-by-step explanation:
180-48
Which operation should be performed on both sides of this equation to solve for x?
x+4=6
add 4
add the opposite of 4
multiply by the reciprocal of 4
multiply by the opposite reciprocal of 4
Answers
Drag each tile to the correct box. Not all tiles will be used.
Consider the following function.
f(x)=2x+5
Place the steps for finding f -1(x) in the correct order.
I NEED THIS 50 POINTS!!!
Answers
Answer:
y = 2x +5
X=2y + 5
X-5 =2y
X-5 / 2 = y
f-1 (x) = x-5/2
Step-by-step explanation:
Answer
This is correct for sure
Step-by-step explanation:
Which equation represents this situation?
Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours.
h+(h+1.5)=25
h−2.5=25
h+(h−1.5)=25
h−1.5=25
Answers
I need HELP, I'm just a dumb kid from Minnesota, I have no clue what to do...The line below has a slope of 2. Both points are on the same line. Find the values of a and b
Answers
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.
Step-by-step explanation:
Geometrically speaking, any line is represented by equation of the form:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
In addition, the slope is defined in terms of distinct known points. That is:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)
If we know that [tex](x_{1},y_{1})=(4,b)[/tex], [tex](x_{2}, y_{2}) = (a, 8)[/tex] and [tex]m = 2[/tex], then the slope is:
[tex]\frac{8-b}{a-4} = 2[/tex]
[tex]8-b = 2\cdot (a-4)[/tex]
[tex]8-b = 2\cdot a -8[/tex]
[tex]b = 16-2\cdot a[/tex]
There is more than one option. If we assume that [tex]a = 6[/tex], then [tex]b[/tex] is:
[tex]b = 16-2\cdot (6)[/tex]
[tex]b = 4[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.
NEED HELP PLEASE!!!!
Answers
Answer:x=35
Step-by-step explanation:
Can you solve this please
Answers
Answer:
( 5 × 9 ) + (5 × 4 )
Step-by-step explanation:
Marlene made a table to relate the number of T-shirts to the total cost. How can
you tell from the table that the relationship is not proportional?
Number of T-shirt
1
2
3
4
A
The number of T-shirts increases in intervals of one.
B
The rule of multiplying by 8 works for all but 4 T-shirts.
C
The number of T-shirts increases by a different amount than the total cost does.
D
All of the numbers of T-shirts can be multiplied by the same amount to get the cost.
Answers
Answer:
The Correct answer would be B.
The rule of multiplying by 8 works for all but 4 T-shirts
Step-by-step explanation:
Answer: B) The rule of multiplying by 8 works for all but 4 T-shirts.
Step-by-step explanation:
Got ir right on Time4Learning
Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per pound for grapes, and $3.50 per pound for blackberries.
He bought the same number of pounds of each fruit. Let the number of pounds be represented by the variable x.
Michael figured out the total amount of money that he spent on fruit can be shown using the expression 3x+2x+2.50x+3.50x
Which expression shows how Michael’s expression can be written in an equivalent single term?
A. (2+2.50)(3+3.50)x
B. (2+3+2.50+3.50)x
C. (2) (3) (2.50) (3.50)x
D. (2) (3)x+(2.50) (3.50)x
Answers
Answer:
C
Step-by-step explanation:
you can add like terms so C is the correct answer
Answer:
hi how are you doing today Jasmine
Is 5/11 closer to 0, 1, 1/2
Answers
Answer:
If your rounding up, its 1/2
Step-by-step explanation:
I WILL MARK BRAINLIST
Answers
Answer:
the Answer is C. A and B
Step-by-step explanation
plot the points for each figure
Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65. 87.
What is the mean height of Bella's corn stalks?
A 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm
Answers
Answer:
d
Step-by-step explanation:
.................have a great day
You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?
Answers
Answer:
6
Step-by-step explanation:
just did on edge
Answer:
C. 6
Add
-2,-4
YOUR WELCOME ;)
Step-by-step explanation:
EDGE2021
What is the first step equation=6x – 4x + 3 = 15
A.
Add 4x to both sides of the equation.
B.
Subtract 4x to both sides of the equation.
C.
Combined the variable terms on the left side of the equation.
D.
Combine the constant terms on the right side of the equation.
Answers
A ladder is 2 metres long. It leans against a wall
so the base is 86 cm from the wall.
a Write 86 cm in metres.
b How far up the wall does the ladder reach?
Answers
Step-by-step explanation:
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What value of x makes the following equation true?
15+3x=3(2−2x)
Answers
Answer:
[tex]\boxed {x = -1}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]15 + 3x = 3(2 - 2x)[/tex]
-Use Distributive Property:
[tex]15 + 3x = 3(2 - 2x)[/tex]
[tex]15 + 3x = 6 - 6x[/tex]
-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:
[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]
[tex]15 + 9x = 6[/tex]
-Subtract both sides by [tex]15[/tex]:
[tex]15 - 15 + 9x = 6 - 15[/tex]
[tex]9x = -9[/tex]
-Divide both sides by [tex]9[/tex]:
[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]
[tex]\boxed {x = -1}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].
Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)
Answers
Answer:
The answer is A
Step-by-step explanation: