Answers
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
Related Questions
Which equation represents a line with a slope of -2? PLEASE ITS ERGENT BARBS
Answers
Answer:
C i think
Step-by-step explanation:
because c has y=x-2.
Decrease £15890.23 by 16.5%
Give your answer rounded to 2 DP
Answers
Answer:
£13,268.35 (sorry if this is incorrect :P)
Step-by-step explanation:
16.5% = 0.165
15890.23 x 0.165 ≈ 2621.88
15890.23 - 2621.88 = 13,268.35
can i get help lost on this one
Answers
[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]
[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answers
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?
A.
Thales
B.
Pythagoras
C.
Euclid
D.
Archimedes
E.
Hippocrates
Answers
because once d lives someone’s dogs lives
Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)
Answers
Answer:
Perimeter
Step-by-step explanation:
Required
What does 36m represent?
From the question, we understand that the 36m is the measurement of the wall.
This, in other words, means the perimeter of the wall.
Hence, Supriya measured the perimeter
How would you find out how many sixth through eighth grade students are interested in joining a running club?
Answers
The question is incomplete. The complete question is :
How would you find out how many sixth through eighth grade students are interested in joining a running club? Explain how to choose a sample that will give you a good representation of a whole population.
Answer :
the sample should be random
Explanation :
We have to find the number of student from 6th through 8th grade students those who wanted to join a running club by choosing a sample of population. So in order to choose a sample which will provide a good representation for the whole population is that the sample must be a [tex]\text{random sample}[/tex] from [tex]\text{entire set of students }[/tex] and it should also include enough students to be reliable. The smaller samples have a more variation that lead to a lesser reliable inference.
Cynthia has $2.15 worth of change in her pocket. She has three more nickels than quarters and twice as many dimes as quarters. How many of each type coin has she?
Answers
Answer:
7 nickles
8 dimes
4 quarters
Step-by-step explanation:
q
d = 2q
n = q+3
25q + 10d + 5n = 215
25q + 10(2q) + 5(q + 3) = 215
25q + 20q + 5q - 15 = 215
50q = 200
q = 4
d = 2q = 8
n = q + 3 = 7
In this addition problem, each letter stands for a different digit.
A
A
+ B B
-------------------
C C C
Find the value of A + B + C?
Answers
Cam can't figure out what to eat. He is going to randomly select a piece of fruit from his pantry. There are 444 apples and 555 bananas in his pantry.
What is \text{P(select an apple})P(select an apple)start text, P, left parenthesis, s, e, l, e, c, t, space, a, n, space, a, p, p, l, e, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answers
Answer:
0.45
Step-by-step explanation:
no. of outcomes = 4+5 = 9
favourable outcomes = 4
P(an apple) = 4/9
= 0.4444... or 0.45
Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.
Answers
Answer:
25√3mm
Step-by-step explanation:
this might be the answer..
Answer:
[tex]25\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{10^2*\sqrt{3} }{4}[/tex]
ABC is a triangle. AC = 9 cm, BC = 7 cm and angle BAC = 30°
Calculate the size of angle ABC.
Answers
9514 1404 393
Answer:
∠B = 40° or 140°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions.
From the law of sines, ...
B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)
Possible values for angle B are ...
B = arcsin(9/14) ≈ 40.0°
B = 180° -arcsin(9/14) ≈ 140.0°
Solve 7+7a=7(2-b) for b
Answers
Answer:
b = 1 - a
Step-by-step explanation:
Given
7 + 7a = 7(2 - b) ← divide both sides by 7
1 + a = 2 - b ( subtract 2 from both sides )
- 1 + a = - b ( multiply through by - 1 )
1 - a = b
Answer:
[tex]b = (a - 1)[/tex]
Step-by-step explanation:
Question[tex]7 + 7a = 7(2 - b)[/tex]
First Solve the brackets
[tex]7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b[/tex]
Then Make the b as the Subject
[tex]7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b[/tex]
hope this helps you.
Have a nice day!
It takes a train 8 hours to travel a distance of 216 km. What is the average speed of the train?
Answers
(S=D/T)S=216KM, T=8HOURS : 216/8=27KM/HOUR
The average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
It takes a train 8 hours to travel a distance of 216 km.
As we know,
Average speed = distance/time
Average speed = 216/8 = 27 km/hour
Thus, the average speed of the train is 27 km/hour if It takes a train 8 hours to travel a distance of 216 km.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ2
‼️‼️HELP HELP ILL MARK YOU BRAINLEST ‼️‼️
your parents took your family out to dinner. your parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $82.00 what should be paid to the waiter as a tip?
a)$12.30
b)$8.00
c)12.03
d)$13.00
Answers
Answer:
A = $12.30
Step-by-step explanation:
15 × 82 = 12.3
100
PLEASE HELP ME!!! WHOEVER HELPS ME AND GETS IT RIGHT WILL GET BRAINIEST!!!
Answers
Answer: it would be D
Step-by-step explanation: because the x intercept is zero and the equation solved is 6
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
Answers
Answer:
Step-by-step explanation:
∠ADC = 90°
∠ADB + ∠BDC = 90
20 + ∠BDC = 90
∠BDC = 90 - 20 = 70
∠BDC = 70°
16) ∠PSR = ∠PSQ +∠QSR
= 60 + 10
= 70
18) ∠PSR = 130
∠PSQ + ∠QSR = 130
90+ ∠QSR = 130
∠QSR = 130 - 90
∠QSR = 40
19)∠ADC = ∠ADB + ∠BDC
= 120 +20
= 140
20) ∠PSR = 125
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)
b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.
c. Find the value of c.
Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)
Answers
Answer:
I'm not sure what to do not doing this in skl
Please helppppppp meeee
Answers
Answer:
angle K is 30 degrees
Step-by-step explanation:
A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees
Someone pls help me :p
Which is an irrational number?
It’s question number 5 pls
Answers
Answer:
A.
Step-by-step explanation:
An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.
list the set of ordered pairs that had a domain that consists of multiples of 3 from -3 to 15
Answers
Answer:
Multiple of 3 from -3 to 15 are:-
3, 6, 9, 12 , 15
hope it is helpful to you ☺️
Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
From Mustafa's perspective, what is the angle between Ana and the kite?
Do not round during your calculations. Round your final answer to the nearest degree.
Answers
Answer: From Mustafa's perspective, there is a 47\degree47°47, degree angle between Ana and the kite.
Step-by-step explanation: Khan Academy
find the value of x. round to the nearest tenth.
Answers
Answer:
x = 26.4
Step-by-step explanation:
Hi there!
What we need to know:
Basic trigonomic ratios (θ is the reference angle):
Sine θ = opposite / hypotenuseCosine θ = adjacent / hypotenuseTangent θ = opposite / adjacentGiven the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:
sin(x) = 4/9
To solve for an angle given the side lengths, we use the inverse functions:
x = sin^-1 (4/9)
x = 26.4
I hope this helps!
-78 + (-30)=
HINT = - + = -
Answers
Answer:
-108 is the answer to the question..
Answer:
-108
Step-by-step explanation:
Given:
WXYZ is a rhombus.
If 5 = 20°, then 1 =
20
40
70
Answers
Answer:
20
Step-by-step explanation:
alternate angles of two parallel lines WX and ZY
Answer:
20!
Step-by-step explanation:
Factor the following polynomial completely. 5x4+20x3-105x2
Answers
Answer:
[tex]5x^{2}(x+7)(x-3)[/tex]
Step-by-step explanation:
5x4+20x3-105x2
5x2( x^2 +4x -21)
[tex]5x^{2}(x+7)(x-3)[/tex]
Solve x2 + 10x + 7 = 0 by completing the square.
Which equation is used in the process?
( x + 5) 2 = 32
( x + 5) 2 = 18
( x + 10) 2 = 93
Answers
(x+5)2 = 18
a) vẽ đồ thị hàm số y=2x-3(d1)
b) tìm toạ độ giao điểm B của (d1) với (P):y=x^2
c)tìm m để đường thẳng (d2):y=(m-1)x-m-3 đi qua B
Answers
Answer:
Step-by-step explanation:
What is the circumference of the circle in terms of pi 30 in?
Answers
Step-by-step explanation:
Given radius = 30 in.
Circumference is given by 2πr
= 2 × π × 30
= 60π in
Sandy made an origami dog. What is the area of the parallelogram highlighted in the origami figure?
Answers
Answer:
the area = base × height = 2 × 3.32 = 6.64 ft²
Answer:
incorrect answer
Step-by-step explanation: