Explanation:
A linear pair of angles is where they are both adjacent and supplementary.
Adjacent angles share a common line or ray. In this case, they share ray FE.
Supplementary angles add to 180. So they combine to a straight angle.
Answer:
Linear pair
Step-by-step explanation:
Their nonadjacent sides formed a line
Evaluate the expression when a = -6 and b = 3 A -2b
Answer:
-6- (2(3))
-6-6=-12
Answer= -12
Step-by-step explanation:
need help with statistics plssssss
Answer:
where is the question . ..... we are ready to help you
Help Math question Write ur answers
Answer:
this can be solved by simple unitary method
[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]
Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).
Answer:
Step-by-step explanation:
(-6 , 4) & (-1 , 2)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}[/tex]
m = -2/5 & (-6 , 4)
y -y1 = m(x -x1)
[tex]y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}[/tex]
PLease help me answer this.
Answer:
1093.96
Step-by-step explanation:
900(1+.05)⁴=1093.955625
These triangles are congruent by the triangle congruence postulate [?]
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
[tex]AB\cong CD[/tex] (Given)
[tex]\angle BAC\cong \angle DCA[/tex] (Given)
[tex]AC\cong AC[/tex] (Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[tex]\Delta ABC\cong \Delta CDA[/tex] [SAS congruence postulate]
Therefore, the correct option is B.
Find the value of x.
219.44 in word form
Answer:
two hundred nineteen and 44
OR
two hundred nineteen point 44
Step-by-step explanation:
do not say AND before nineteen. saying AND represents a decimal point. Both can be used (point or and)
Bab needs help please!
Answer:
V =282.6 in ^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know pi = 3.14 r= 3 and h =10
V = 3.14* 3^2 *10
V =282.6
I’ll give brainliest (No links, I will reported)
which of these is correct and why?
Answer:
A,E,G
Step-by-step explanation:
use sohcahtoa
sine = opposite/hypotenuse
cosine=adjacent/hypotenuse
tangent=opposite/adjacent
Identify the vertex
Answer:
The vertex is (-2,10)
Step-by-step explanation:
The vertex is the maximum point on a downward facing parabola
The maximum is (-2,10)
The vertex is (-2,10)
will mark brainliest
Answer:for points vgunvh
Step-by-step explanation:
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly
Answer:
bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.
Find x and y
(y+23)
(2x-17)
Answer:-2
Step-by-step explanation:
What is $14.81+$16.19-8cents? plz hurry
Answer:
$30.92
Step-by-step explanation:
Answer:
$23 I hope this helps :)
Step-by-step explanation:
Which expression has a value closest to 1 ? (Use 3.14 as the value of pie.)
Answer:
The square root of 37 minus the square root of 26
[tex]\sqrt{37} -\sqrt{26}[/tex]
Step-by-step explanation:
a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95
b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058
c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98
s) 3 square root 5 - square root 20 / square root 2 =
3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=
3.546
A card is drawn from a standard deck. Find the probability of drawing a heart or a 7.
=======================================================
Explanation:
There are A = 13 hearts and B = 4 copies of "7"
The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16
There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13
What's the special name for a quadratic that has one solution?
An alarm bell will ring when the pressurized gas in a cylinder reaches an internal pressure that is 215% of the maximum allowable pressure. If the maximum allowable pressure
is 220 pounds per square inch, at what pressure, in pounds per square inch, will the alarm bell ring?
Answer:
The alarm bell will ring at 473 psi.
Step-by-step explanation:
To answer this, find 215% of 220 pounds per square inch:
Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:
2.15(220 psi) = 473 psi
The alarm bell will ring at 473 psi.
The polynomial equation x3- 4x2 + 2x+ 10 = x2 - 5x-3 has complex roots 3+2i. What is the other root? Use a graphing
calculator and a system of equations.
Answer:
Step-by-step explanation:
Given Equation:
x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3
which simplifies to
x^3- 5x^2 + 7x+ 13 = 0
Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.
The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13
The other root can therefore be obtained by long division
(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1
Therefore the three roots are:
{x=3-2i, x=3+2i, x=-1 }
A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and 9 of his friends buy 10 tickets each. When the winning ticket number is announced, it is found to belong to Neil's group. Given this information, what is the probability that the ticket belongs to Neil?
Answer:
1/10 if its is in the group
Step-by-step explanation:
but if its as the whole thing it would be 1/200 because he has 10 and 10 of 2000 is 1/200
The probability that the winning ticket belongs to Neil is 5%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 2,000 tickets, and Neil and his 9 friends bought 10 tickets each, so they bought a total of 100 tickets (10 tickets/person x 10 people = 100 tickets).
The probability of Neil's group winning the car is equal to the number of tickets they bought divided by the total number of tickets sold:
Probability = Number of tickets bought by Neil's group / Total number of tickets sold
Probability = 100 / 2000
Probability = 0.05 or 5%
Therefore, the probability that the winning ticket belongs to Neil is 5%.
To learn more on probability click:
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Find the number of turns or bumps in the graph of the function f(x) = 7x3 - 14x2 + 2.
The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex] is 2.
What is function?
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a,b)| for all a ∈ A, b ∈ B}
Given,
[tex]f(x)=7x^3-14x+2[/tex]
Answer has shown in the attached file.
Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex] is 2.
Learn more about Graph plotting:
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What is the range of 149 111 171 166 152 129 162 144
If 2^x = 5, what is 2^3x - 4?
Answer:
the value of x is 2^9/4 then 2^3x-4=2^11/4
Multiply or divide as indicated.
5a2.6a4
Answer:
3a^6
Step-by-step explanation:
Answer:
[tex]30 {a}^{6} [/tex]
Step-by-step explanation:
Hope it is helpful...
PLSS help !!!Which of the following correctly shows the first step when factoring 3ab + 3ac – 4db – 4dc by grouping?
Answer:
Factorise:
3a(b+c)-4d(b+c)
Last one.
Further on:
(3a-4d)(b+c)
The factor 3ab + 3ac – 4db – 4dc can be grouped as
a(3b + 3c) - d(4b + 4c).
What is the difference between factoring and grouping?
We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.
Given: 3ab + 3ac - 4db - 4dc.
Expanding the equation a(3b + 3c): 3ab + 3 a c
=3 a b+3 a c-d(4 b+4 c)
Expanding the equation -d(4 b+4 c): -4bd - 4cd
a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd
Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).
To learn more about factoring and grouping
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differentiate
f(x)= 186.5
Answer:
Hope this helps!
Step-by-step explanation:
f'(x)=0
You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.The probability of choosing a red tile and then a vowel is
Which section of the graph represents the solution of the system of inequalities shown?
Answer:
Q
Step-by-step explanation:
5x+15y ≥ -20
Solve for y
15 y≥ -5x-20
Divide by 15
y ≥ -5x/15 -20/15
y ≥ -1/3 x -4/3
Y is greater than or equal to so shade above and on the line
4x-2y > 6
Solve for y
-2y > -4x+6
y < 2x -3
Shade below the line
The double shaded area is the solution
==========================================================
Explanation:
Let's focus on the inequality 4x-2y > 6
Plug in (x,y) = (0,0) to find that...
4x-2y > 6
4(0)-2(0) > 6
0 > 6
This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).
-----------------
Let's check the point (0,0) with the other inequality as well
[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]
This is true because 0 is to the right of -20 on the number line.
So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.
------------------
To summarize so far, we found that
regions Q and R make 4x-2y > 6 true, regions P and Q make [tex]5x + 15y \ge -20\\\\[/tex] true.The overlap is region Q which is the final answer
Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.
3 in
The volume of
the figure is
cubic in.
6 in
3 in
3 in
7 in
16 in.
Answer:
6in is the cubic volume
Step-by-step explanation:
If I'm wrong just correct me