Part a: The value of x such that the both lines are parallel to each other is (x = 12).
Part : The value of y such that the both lines are parallel to each other is (y = 108).
What is defined as the corresponding angles?Corresponding angles are generated when two parallel lines have been intersected by a transversal. The definition of corresponding angles states that when two parallel lines intersect with a third, the angles that take up the same relative position at every intersection are said to be corresponding angles to one another.In the given figure;
Part a: For making the lines w and t parallel to each other; their corresponding angles must be equal.
Thus,
4x + 60 = 9x
Solving;
9x - 4x = 60
5x = 60
x = 12
Thus, the value of x for which both lines w and t are parallel is 12.
Part b: For making the lines u and v parallel to each other; their corresponding angles must be equal.
Thus, 9x = y
Put x = 12.
y = 9×12
y = 108.
Thus, the value of y for which both lines u and v are parallel is 108.
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I have 17 warnings how am I not banned from the app yet?
You should ask a moderator
Put parenthesis around 5 + 4 × 2 + 6 - 2 × 2 + 1 to make the answer 19
Answer:4x2
Step-by-step explanation:
Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below
Answer:
attach photo of coordinate plane
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or 1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and then secure the other end of the rope to the ground. The flagpole is 8 feet high. How far out on the ground does he need to secure the rope from the flagpole so that the rope is tight?
Answer:
6 feetStep-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?
Answer:
$88.3
Step-by-step explanation:
Here 42% of annual health premium($5450)=*5450
=$2289
This amount is being paid by the company means it is deducted amount in one year.
One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.
Deducted amount=
=$88.30
A pair of dice is tossed. what is the probability of getting sum of 5 or 9?
A)7/9
B)5/9
C)1/9
D)2/9
Answer:
[tex]Probability = \frac{2}{9}[/tex]
Step-by-step explanation:
Given:
A pair of dice
Required
Determine the probability of a sum of 5 or 9
Let the sample space of the first die be S1 and the second, S2
[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
[tex]S_2 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
Number of sample space, n is:
[tex]n = 6 * 6[/tex]
[tex]n = 36[/tex]
Next, we list out all possibilities of obtaining a sum of 5
[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]
n(Sum5 )= 4
Next, we list out all possibilities of obtaining a sum of 9
[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]
n(Sum9)= 4
The required probability is then calculated as:
[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]
[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]
Take LCM
[tex]Probability = \frac{4+4}{36}[/tex]
[tex]Probability = \frac{8}{36}[/tex]
Simplify
[tex]Probability = \frac{2}{9}[/tex]
Shelly is making an apple pie.she needs 3/4 cup of sugar for her pie.How many cups of sugar will she need if she makes 7 pies?
A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x
Answer:
x=24
Step-by-step explanation:
again 180-156=24
super easy remember exterior +interior angles add up to 180
Brainliest please
First angle = 105
Second angle = x
Third angle = 156 - 105
= 51
_________________________________________
Three angles of the triangle:
[tex]105[/tex]
[tex]x[/tex]
[tex]51[/tex]
___________________________________________
Angle sum of triangle = 180°
[tex]105 + 51 + x = 180[/tex]
[tex]156 + x = 180[/tex]
[tex]x = 180 - 156[/tex]
[tex]x = 24[/tex]
DEF is a 90° clockwise rotation of ABC. Find the length of FD.
A
D
5x - 22
F
B
3x + 18
Answer:
Step-by-step explanation:
54
Find the measure of the missing angel
Answer:
58 degrees
Step-by-step explanation:
Solve equation 6x+5=35
i need help please: if
Answer:
If what??? can you please finish the question in the reply?
Answer please. Correct answer
Answer:Graph A if I’m incorrect sorry
Step-by-step explanation:
24% of what number is 18
Answer:
75 is the answer to your question
Answer:
i believe its 75 my guy
Solve the system of equations using the substitution method.
y=2+56x
4x−3y=3
Enter your answer in the boxes.
(___,___)
Answer:
(6,7)
Step-by-step explanation:
took the test, was correct.
x= 6, y=7
solve for the first variable in one of the equations, then substitute the result into the other equations.
The value of x is 0.05 and y is 4.8 for given system of equations.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2+56x...(1)
4x−3y=3...(2)
Substitute (1) in equation (2)
4x-3(2+56x)=3
4x-6+168x=3
172x-6=3
Add 6 on both sides
172x=9
Divide both sides by 172
x=9/172
x=0.05
Now plug in x value in equation 1
y=2+56(0.05)
=2+2.8
y=4.8
Hence, the value of x is 0.05 and y is 4.8 for given system of equations.
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please help!! picture linked below.
Answer:
50y + 25x = 800
&
50x + 25y = 800
Solve Each Equation PLS SHOW WORK
|5k-8| / 10 = 2
|5k-8| / 10 is a fraction btw
Answer:
The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Step-by-step explanation:
Given;
[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]
Simplifying further;
5k - 8 = 20 ------- (1)
5k - 8 = -20------(2)
Solving equation (1)
5k - 8 = 20
5k = 28
k = 28 /5 = 5 ³/₅
Solving equation (2)
5k - 8 = -20
5k = -20 + 8
5k = -12
k = -12 / 5 = -2 ²/₅
Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Can someone help me on this? which one is it???
8) Find x ifm/HGS = 3x + 5,
m/SGF=21x +3, and m/HGF = 176º.
The required value of x is 7.
In the given statement is:
m/HGS = 3x + 5,
m/SGF=21x +3, and m/HGF = 176º.
and, to find the value of 'x'
The two angles, ∠HGS & ∠SGF, when combined, will result in ∠HGF
m ∠HGS = 3x + 5
m ∠SGF = 21x + 3
m ∠HGF = 176°
Set the equation:
m ∠SGF + m ∠HGS = m ∠HGF
Plug in the corresponding terms to the corresponding variables:
21x + 3 + 3x + 5 = 176°
24x + 8 = 176°
24x = 176° - 8
24x = 168°
x = 168°/24
x = 7
Hence, The required value of x is 7.
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1. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F + G) (2) =
a. 4
b. 5
c. 9
2. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
a. -3
b. 3
c. -1
3. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F G) (2) =
a. 20
b. 10
c. 40
Answer:
b.5
a-3
a.20
its korrect now
Six is less than or equal to the sum of a number and 3 1/4
Answer:
x ≥ 2 3/4
Step-by-step explanation:
6 ≤ x + 3 1/4
6 - 3 1/4 ≤ x
2 3/4 ≤ x
x ≥ 2 3/4
The solution to that equation or inequality will be; x ≥ 2 3/4
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
WE have been given that Six is less than or equal to the sum of a number and 3 1/4;
Therefore, the inequality will be;
6 ≤ x + 3 1/4
6 - 3 1/4 ≤ x
2 3/4 ≤ x
x ≥ 2 3/4
Hence, The solution to that equation or inequality will be; x ≥ 2 3/4
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Rewrite the equation in slope-intercept form:
10x + 5y = - 15
The equation in slope-intercept form is y = - 2x - 3.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient or slope, and
y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Now the given equation is,
10x + 5y = - 15
Dividing the equation by 5 we get,
2x + y = - 3
Subtracting 2x both the side we get,
2x + y - 2x = - 3 - 2x
⇒ y = - 3 - 2x
or, y = - 2x - 3
This is the required slope-intercept form.
where -2 is the slope and -3 is the intercept.
Thus, the equation in slope-intercept form is y = - 2x - 3.
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Answer one of them please thank you
The value of (M∪C)∩ V is { 3, 6 }
What are sets?Sets are defined as a collection of well-defined elements, numbers or objects.
It is important to note that;
Intersection of sets is denoted with the symbol '∩' and contains elements common to two or more setsUnion of sets is denoted with the symbol '∪' and contains all the elements of two or more sets without repetition14.
M = { 2. 3 , 4 , 5}
C = { 4, 6 , 8 , 10}
V = { 3, 5 , 7 , 9}
M∪ C = { 2, 3, 4 , 5 , 6 , 8 , 10}
(M∪C)∩ V = { 3, 6 }
Thus, the value of (M∪C)∩ V is { 3, 6 }
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PLEASE HELP !!!!!! WILL MARK THE BRAINLIEST
Answer:
c
hope its right :)
good luck!
pls pls help, brainiest guaranteed
Yolanda's final exam has true/false questions, worth 4 points each, and multiple choice questions, worth 5 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct.
She needs more than 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
Answer:
i think its
4× + 5y > = 85
Step-by-step explanation:
i hope im right or even close i tryed i should be right tho HAVE A NICE DAY!!
Which option is the simplified version
Answer:
its the 2 option......................
Jamal makes $186 a week at his job. He plans to save 5% of his paycheck for a P.Y.F account. How much money will Jamal put in his P.Y.F account this week.
Answer:
$9.30
Step-by-step explanation:
Answer:
Jamal will put $9.30 in his P.Y.F. account this week.
Step-by-step explanation:
Jamal makes $186 a week. He plans to save 5% of that in his P.Y.F. account.
%5 of $186 is $9.30 ($186/20).
This week, he will put $9.30 in his P.Y.F. account.
Hope this helps!
help bro. ;;;;;;;;;;;;;;;;;;;;;;;
Answer:
Jose answered incorrectly. In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".
Answer:
top one is right 100% right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
3. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
The additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A
What is the SSS congruence postulate?The SSS congruence theorem states that If all the sides of one triangle are equivalent to the corresponding three sides of the second triangle, then, the two triangles are said to be congruent.
From the diagram given, we have;
Triangles NLMTriangle LNYFor the three sides of triangles NLM to be equivalent to that of LNY;
Line MN must be equal to line YL
Thus, the additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A
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For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
x² + kx + 12 = (x - a) (x - b)
Expand the right side and equate the coefficients:
x² + kx + 12 = x² - (a + b) x + ab
Then
a + b = -k
ab = 12
The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.
Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :
a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2
a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12
→ (1 - k)²/4 - (1 - k)/2 = 12
→ (1 - k)² - 2 (1 - k) = 48
→ (1 - 2k + k²) - 2 (1 - k) = 48
→ k² - 1 = 48
→ k² = 49
→ k = ± √(49) = ±7