Answer:
5 and 8 are supplementary
3=8 (vertically opposite)
so 5 and 3 are supplementary
also 5 and 6 are supplementary (linear pair)
now we've got
5+3=180°
5+6=180°
3=6
Statement: 5 and 3 are supplementary as 3=8
reason: vertically opposite
statement: 5 and 6 are supplementary
reason: linear pair
statement: 3=6
reason: both are supplementary to a same angle
Which equation has both 7 and -7 as a
possible value of x?
A. X^2=14
B. x^3=14
C. X^3=49
D. X^2=49
Answer:
D. X^2=49
Step-by-step explanation:
X= -4 or X=7
X^2=(-7)^2=49
or
X^2=(7)^2=49
Points A and B have coordinates (8, 3) and (p, q) respectively. The equation of the perpendicular
bisector of AB is y = -2x +4.
Find the values of p and q.
Answer:
p = -4, q = -3
Step-by-step explanation:
y = -2x +4 ... (1) perpendicular bisector of AB, slope = -2
slope of AB = 1/2
Line AB pass (8,3): (y-3) / (x-8) = 1/2
AB equation: y-3 = 1/2(x-8) y = 1/2x - 1 ... (2)
(2)-(1): 5/2 x = 5 x = 2
y = 0 (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)
(8+p)/2 = 2
p = -4
(3+q)/2 = 0
q = -3
The values of p and q from the perpendicular bisector are;
p = -4 and q = -3
We are given coordinates of A and B as;
A(8, 3) and B(p, q)
Bisector of AB is y = -2x + 4
Thus, from y = mx + c, Slope of the bisector is -2.
Since the bisector is perpendicular to AB, then slope of AB = -(1/-2) = 1/2
Thus, slope of the line from point A to the point of the bisector on AB is;
(y - 3)/(x - 8) = 1/2
y - 3 = ¹/₂(x - 8)
y - 3 = ¹/₂x - 4
y = ¹/₂x - 1
Putting ¹/₂x - 1 for y in the bisector equation gives;
¹/₂x - 1 = -2x + 4
2x + ¹/₂x = 4 + 1
2.5x = 5
x = 5/2.5
x = 2
Thus;
y = -2(2) + 4
y = 0
Thus, the coordinate of the midpoint of AB is (2, 0)
Now, this means that;
(8 + p)/2 = 2
8 + p = 4
p = 4 - 8
p = 4
Also; (3 + q)/2 = 0
3 + q = 0
q = -3
Read more about equation of perpendicular bisector at; https://brainly.com/question/23090478
Identify the vertex of the equation y=x^2−6x+2. Show all work for full credit.
Answer:
(3, -7)
Step-by-step explanation:
y = x² - 6x + 2
a = 1, b = -6
[tex]x = - \frac{ - 6}{2 \times 1} [/tex]
x = 3
y = x² - 6x + 2; x = 3
y = -7
= (3, -7)
put the following equation of a line into a slope-intercept form, simplifying all fractions.
3y-3x=21
To find the slope-intercept form (y=mx+c), we have to make 'y' the subject of the equation:
3y - 3x = 21 [add 3x to both sides]
3y = 3x + 21 [divide all terms by 3]
y = x + 7
∴ 3y - 3x = 21 in slope-intercept form is y = x + 7.Based on the following figure, what is the slope of the hypotenuse?
a. 5/12
b. 5
c. 12
d. 12/5
Answer:
5 / 12
Step-by-step explanation:
Here,
x = 12
y = 5
Formula : -
Slope = y / x
Slope = 5 / 12
This table represents a funtion. What is f(-2) ?
The half-life of a particular element is 6 days. If you begin with 36 grams of the element write an exponential decay function that models the decay of the element. Let t =1 represent one half life (or 6 days).
How much of the element is left about 24 days?
Answer:
2.25 grams
Step-by-step explanation:
3 hours worked for $12; 9 hours worked for $36
Answer:
For the first that person worked for 4 dollars an hour
2nd person worked for 4 dollars an hour
Step-by-step explanation:
12/3
&
36/9
=
4
Fran loves animals and has seven different types of dogs living with her. She likes to keep them fit and healthy, so walks one dog per day from Monday to Sunday. Her Kelpie is walked three days after her Poodle and two days before her Rottweiler, which is walked a day before her Labrador. She walks her Terrier four days after her Poodle. Her German Shepherd is walked one day before her Chihuahua, which is four days before her Labrador.
If Fran walks her Kelpie on Thursdays, on which day does she walk her Labrador?
Answer:
Step-by-step explanation:
7 days a week
sunday kelpie walked
three days after that wedensday poodle walked
two days before the poodle is tuesday rotweiler walked
day before rotweiler is monday labradore walked
4 days before poodle is saturday terrier walked
german shepard walked friday
chihuahua walked thursday
plzzzzzzzzz help its math
Answer:
B
Step-by-step explanation:
14/2.54=5.51
Answer:
B. 5.51
Step-by-step explanation:
14÷2.54=5.5111811
3.) A linear function passes through the points (0, 2) and (-4,0).
a) What is the x-intercept?
b) What is the y-intercept?
c) What is the slope?
Please help ASAP
Answer:
Step-by-step explanation:
The x-intercept is where y is 0.
The y-intercept is where x is 0.
The x-intercept would be (-4, 0) and the y-intercept (0, 2)
Using the slope formula, (y2-y1/x2-x1), we can find the slope which is 1/2.
A student took a total of 4 tests over the course of 8 weeks. How many weeks of school will the student attend to take a total of 20 tests?
Answer:
4/8 = 20/x
20 x 8 = 160
160 ÷ 4 = 40
the student will attend 40 weeks of school
Can you solve it please
Answer:
x = 10
Step-by-step explanation:
1. First, we should recognize that 6x and 5x + 10 are corresponding angles, meaning they occupy the same relative position. They're also congruent.
This means that 6x = 5x + 102. (Solving)
Step 1: Subtract 5x from both sides.
[tex]6x - 5x = 5x + 10 - 5x[/tex] [tex]x = 10[/tex]Step 2: Check if solution is correct.
[tex]6(10)=5(10)+10[/tex] [tex]60 = 50 + 10[/tex] [tex]60 = 60[/tex]Therefore, x = 10.
A parabola has a vertex of (3, –2) and a y-intercept of 7. What is the equation of this parabola?
1) y = 2(x - 2)^2 - 1
2) y = (x - 3)^2 - 2
3) y = (x + 1)^2 + 7
4) y = [tex]\frac{8}{9}[/tex](x + 3)^2 - 1
Answer:
2) y = (x - 3)^2 - 2
Step-by-step explanation:
y = -2
x = 3
What’s a domain and range of a graph
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Answer:
it's the input and output of a graph, or the x and y coordinates. domain being x, and range being y.
Someone pls help me I will make you as brain
b) Solve the following system of equations using Elimination Method:
(2y - 1
-3
3x – y
2y = x - 2
Answer:
(2y - 1 -3 3x – y 2y = x - 2 answer is -3 or 56.309 or +3/2
Step-by-step explanation:
A triangle has vertices A(-3,6), B(-3, 4), and C(3, 4).
If the triangle is translated 2 units to the right and 1 unit down, what will be the new coordinates of vertex A?
Answer:
A(-3,6) -> A'(-3+2,6-1),so A‘’(-1,5),choose A
Step-by-step explanation:
13, 14, 14, 16, 16, 16.16, 18, 18, 19
What is the MAD?
Answer:
Population size:9
Mean (μ): 16.017777777778
Mean Absolute Deviation (MAD): 1.5753086419753
PLS HELPPPPPPP Which expression is equivalent to 7t+6w−4t+2w?
3t+8w
11tw
13t−2w
11t−8w
Answer:
3t + 81
Step-by-step explanation:
1. First, let's simplify 7t+6w−4t+2w
[tex]7t + 6w - 4t + 2w[/tex] [tex](7t - 4t)+(6w+2w)[/tex] [tex]3t + 8w[/tex]2. As you can see, the first choice matches with our solution.
Therefore, 3t + 81 is equivalent to 7t+6w-4t+2w.
Answer:
[tex] \sf \: a) \: 3t + 8w[/tex]
Step-by-step explanation:
Now we have to,
→ Find the equivalent expression.
The expression is,
→ 7t + 6w - 4t + 2w
Let's simplify the expression,
→ 7t + 6w - 4t + 2w
→ 7t - 4t + 6w + 2w
→ (7t - 4t) + (6w + 2w)
→ (3t) + (8w)
→ 3t + 8w
Hence, the answer is 3t + 8w.
write ad power of 5 (270)
A garden is 8 feet by 12 feet and Lewis wants to increase the area by 25%. what could be the new dimensions of the garden?
Answer:
10ft by 12ft
Step-by-step explanation:
Step 1 : Find the area of the garden.
Area formula = length * width
Area = 8 * 12
Area = 96
Step 2 : Find 25% of 96.
96 divided by 4 = 24
Step 3 : Add that 25% (24) onto 96.
24 + 96 = 120
We now know that the new area of the garden is 120 [tex]feet^{2}[/tex].
The new dimensions of the garden could be 10 times 12, since that equals 120. Therefore, the answer is 10ft by 12ft.
Have a nice day, and mark brainliest if possible. :)
What is the two closest integer to 105
Answer:
104 and 106
Step-by-step explanation:
The closest to 105 (previous and next integer)
I believe it is 53 and 52.
Hope this helps! :D
Photo is attach
help me you will get a great thing if you help me
Answer:
11, 13,15 8, 11, 14 op = 2,3
16, 12, 8 17. 14, 11 op = -4,-3
3, 7, 15 24, 16. 12 op 4,4 because difference = op 4, 8 = 4 op -8, -4 = 4
Step-by-step explanation:
9+ 2 = 11, 13,15 ordered pair 2
5+ 3 = 8, 11, 14 ordered pair 3
20-4 = 16, 12, 8 ordered pair -4
20-3 = 17. 14, 11 ordered pair -3
1 x 2 +1 = 3, 7, 15 ordered pair 4, 8 = 4
40 / 2 + 4 = 24, 16. 12 ordered pair -8, -4 = 4
Answer ASAP please this is important
Answer:
7 students like art only.32 students18 students4 students9 studentsx squared - 27x-10x times 103+ 2x2x - (2x squared)4+-4=06+6=12(2 times -2 times 3) squared = -1440-5= -5PLEASE! An item costs 410 before tax, and the sales tax is 32.80.
Find the sales tax rate. Write your answer as a percentage.
Divide the amount of the tax by the cost of the item:
32.80 / 410 = 0.08
Multiply by 100:
0.08 x 100 = 8%
Answer: 8%
find the range of the function y= 1/2 x + 3 when the domain is -2, 0, 2, 4
Answer:
2 3 4 5
Step-by-step explanation:
1/2*-2+3 = 2
1/2*0+3 = 3
1/2*2+3 = 4
1/2*4+3 = 5
Plz help fast
I will mark Brainlyist
Answer:
148°
Step-by-step explanation:
this is the answer i promise
Directions: Solve for x, then find each angle measure.
The sum of all three interior angles of a triangle is 180° thus the measure of x for the given triangle is 8 therefore,∠E = 75°,∠D = 38°, and ∠F = 67°.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
It is known that the sum of all three angles inside a triangle will be 180°.
Therefore, ∠E + ∠F + ∠D = 180°.
Given that, ∠E = 9x + 3,∠F = 11x -21 and ∠D = 5x - 2
So, 9x + 3 + 11x - 21 + 5x - 2 = 180
25x - 20 =180
25x = 200
x = 8
So,
∠E = 9(8) + 3 = 75°
∠F = 11(8) - 21 = 67°
∠D = 5(8) -2 = 38°
Hence "The sum of all three interior angles of a triangle is 180° thus the measure of x for the given triangle is 8 therefore,∠E = 75°,∠D = 38°, and ∠F = 67°".
For more about triangles,
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96% as a fraction. plz help
Answer:
24/25
Step-by-step explanation:
96% as a fraction -
96/100
simplify -
24/25
HOPE IT HELPS :)