Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
!!
Simplify
14^15 over 14^5
Is this equation proportional? why?
y = 3x + 2x
Answer:
5x
Step-by-step explanation:
Jason has a container holding 11.5 quarts of liquid. If he want to find enough containers to hold 13 times this amount of liquid, how many quarts of liquid will the containers need to hold?
Answer: 149.5 quarts
Step-by-step explanation:
From the question, we are informed that Jason has a container holding 11.5 quarts of liquid and that he wants to find enough containers to hold 13 times this amount of liquid.
The number of quarts of liquid that the containers need to hold will be:
= 13 × 11.5
= 149.5 quarts
Your answer
PLEASE ASAP
What is the equation of the line passes through the point (-6, 6) and is parallel to the y=2/3x-1?
Answer:
y=2/3 x+10
Evidence:
Picture
Hope it helped!
can someone help me please? find the value of each variable..
Answer:
x = 4, y = 3
Step-by-step explanation:
HELPP!!!!
Solving for the Missing Variable
Ex. 1 Determine the range of possible values of x,
9514 1404 393
Answer:
21 ≤ x < 48.3343
19.4030 < t ≤ 62 1/3
Step-by-step explanation:
This sort of geometry has shown up in a number of different problems. Perhaps the most difficult was one in which the angles were given a specific linear relationship. Here, one of the angles is fixed, making the problem somewhat simpler.
The most straightforward approach is to simply say the unknown angle must lie between 0° and 180°. It turns out that is not the possible range of values. Rather there is a limit on the unknown angle. It will have an extreme value when both triangles are isosceles. The lengths of the equal sides in that case can be determined using the triangle with both angle and base length specified.
__
a) For the triangle to be isosceles (MA = MH = MY), the side lengths must satisfy ...
AM·sin(62°/2) = 7.1/2
AM = 3.55/sin(31°) ≈ 6.89269
At that point, angle HMY will satisfy ...
AM = (6.33/2)/sin((2x -42)°/2)
3.55/sin(31°) = 3.165/sin(x-21°)
(x -21)° = arcsin(3.165/3.55·sin(31°)) ≈ 27.3343°
x = 48.3343
Because angle HMY can be smaller than this value, its minimum is 0:
2x -42 = 0
x -21 = 0
x = 21
That is, x can range between 21 and 48.3343.
__
b) Using similar logic on the other triangles, we find the unknown angle has an extreme value when the triangles are isosceles: CA = CB = CD = CD. As above, this will occur when ...
(3t -7)° = 2·arcsin(17/16·sin(24°)) ≈ 51.2091°
t = 19.4030
In this geometry, because AB > DE, the angle can only get larger than 51.2091°. Its upper limit is 180°, meaning that ...
3t -7 ≤ 180
3t ≤ 187
t ≤ 62 1/3
In this geometry, the value of t can range between 19.4030 and 62 1/3.
_____
Additional comment
As we said at the beginning, your computer may be expecting you to come up with an answer that makes the unknown angle lie between 0 and 180°. For that range of angles, you have ...
0 ≤ 2x-42 ≤ 180 ⇒ 0 ≤ x -21 ≤ 90 ⇒ 21 ≤ x ≤ 111
0 ≤ 3t -7 ≤ 180 ⇒ 0 ≤ t -7/3 ≤ 60 ⇒ 7/3 ≤ t ≤ 187/3
HELP ME PLEASE.......
Answer:
slope is 2.33
Step-by-step explanation:
The sale amount is $67.50 and the sales Tax is 5% what is the total amount paid?
Answer:
70.88
Step-by-step explanation:
x/67.5=5/100 cross multiply 100x=337.5 divide 100 x=3.375 or 3.38 67.50+3.38=70.88
70.88 is your correct answer
24x0. 6x1. 21x2. 11x5
Answer:
Step-by-step explanation:
Use calculator
but anyways here
24 x 0 = 0
6 x 1 =6
21x 2 =42
11x 5 = 55
-3(2x-3)+10x=39 what’s the answer
*************MUST ANSWER!***************
Sebastian has a points card for a movie theater.
-He earns 85 points just for signing up.
-He earns 2.5 points for each visit to the movie theater.
-He needs 115 points for a free movie ticket.
Write and solve an Equation which can be used to determine v, the number of visits Sebastian must make to earn a free movie ticket.
Answer:
Look Down
Step-by-step explanation:
85+2.5v=115
2.5v=30
v=12
Plz I need help on this what is the unit cost in this question?
THE UNIT IS DOLLAR ($).
Step-by-step explanation:
BECAUSE IT IS GIVEN IN TOTAL COST
I need help with this quick question. PLS
Step-by-step explanation:
please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry
9514 1404 393
Answer:
x < -5
Step-by-step explanation:
The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.
The domain where the function is increasing is x < -5.
_____
Additional comment
At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.
can someone help me ill give a brainiest
1. 500% Increase
2. 40% Decrease
3. 75% Increase
4. 62.5% Increase
What is the solution for the system of equations shown in the graph?WILL GIVE BRAINLY IF ANSWER
Answer:
(2,4)
Step-by-step explanation:
thats the point where both lines meet
Which angles in the picture are NOT supplementary?
A.) 2 and 3; 1 and 4
B.) 1 and 3; 2 and 4
C.) 4 and 1; 3 and 4
D.) 1 and 2; 2 and 3
B.) 1 and 3; 2 and 4 in the picture are not supplementary.
Supplementary angles refers to the type of angles whose sum is 180°. It is not mandatory for the division of angle to be in half. The angles can be 60° and 120°, 130° and 50°, 90° and 90° and so on.
In the figure, we can see two lines intersect each other. Angle 1 and 2 are present on straight line, and hence, their sum will be 180°. Angle 2 and 3 are present on straight line, and hence, their sum will be 180°. Angle 3 and 4 are present on straight line, and hence, their sum will be 180°. Angle 1 and 4 are present on straight line, and hence, their sum will be 180°.
Angle 2 and 3 and angle 1 and 4 are opposite angles, that are not present on same straight line. Therefore, they are not supplementary angles.
Learn more about supplementary angles -
https://brainly.com/question/404323
#SPJ4
Graph y = 2x - 7
Im doing this on Khan and I always get it wrong
Answer:
Use points (0,-7) and (1,-5)
please see below if you would like a graph.
Step-by-step explanation:
The equation is y=2x-7
we need two points.
The equation is in y=mx+b form, where m is the slope and b is the y intercept
In that case we already know a point, since -7 is in the place of b. The y intercept as a point is (0,b). Therefore, our first point is (0,-7)
We also know the slope of the line, which is 2. The formula for slope is rise/run That means that the next point would be to go right one, and up 2, (both indicate a positive direction), or to the left one, and down 2(both indicate a negative direction.) Let's use the positive way.
going to the right 1=+1 on x. (1, y)
Going up 2=+2=-7+2=-5
Point is (1,-5)
use points (0,-7), and (1,-5)
please see below for a graph to compare.
hope this helps!
What is the slope of,
(-2,1) and (5,4)?
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]\frac{4-1}{5--2}[/tex] =
[tex]\frac{4-1}{5+2}[/tex] =
[tex]\frac{3}{7}[/tex]
2.4, -3.4, -9.2, -15, - 20.8,
If the pattern continues, which expression can be used to find the nth term?
Answer: c. 8.2-5.8n
Step-by-step explanation:
I got it wrong and it said that c was correct your welcome
An arithmetic sequence is a sequence where the difference between the consecutive term is the same.
The formula for nth terms of an arithmetic sequence.
nth term = a + (n -1)d
The expression that is used to find the nth term of the given arithmetic sequence is
2.4 - 5.8 (n - 1)
What is an arithmetic sequence?An arithmetic sequence is a sequence where the difference between the consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
The common difference is 2.
We have,
2.4, -3.4, -9.2, -15, - 20.8,
This is an arithmetic sequence.
The common difference.
= -3.4 - 2.4
= -5.8
Now,
The formula for nth terms of an arithmetic sequence.
nth term = a + (n -1)d
So,
a = 2.4
d = -5.8
nth term:
= 2.4 + (n - 1)(-5.8)
= 2.4 - 5.8(n - 1)
Thus,
The expression that is used to find the nth term of the given arithmetic sequence is
2.4 - 5.8 (n - 1)
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ2
Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
HELP! (On the ?’s I didn’t answer thank you!
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
a^7/8^2
Step-by-step explanation:
Here, we want to write the expression using only positive exponents
An important rule for indices to use here is that;
a^-b = 1/a^b
thus;
8^-2 = 1/8^2
So we have;
1/8^2 * a^7
= a^7/8^2
Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
What is the least number of days after Monday that Joseph needs to run to reach his goal?
Answer:
Step-by-step explanation:
At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.
To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.
3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles
What is the measure of x?
Angles are not necessarily drawn to scale.
63
PLEASE HELPPP
Answer:
help with what?
Step-by-step explanation:
Ross has a season ticket.
In 2013 the season ticket cost £65.
In 2014 the cost of the ticket was increased by 8%.
In 2015 the cost of the ticket was increased by a further 5%.
Calculate the cost of the season ticket after the two price increases.
Answer:
£73.71
Step-by-step explanation:
Let's compute first for the cost of the ticket in 2014. Let x be the increase in the cost of the ticket. If the cost of the ticket is 8% of £65, then the expression should be like this:
x = 65 x 8%x = 65 x 0.08x = £5.2Let's add £5.2 to £65 ⇒ £5.2 + £65 = £70.2
The cost of the season ticket in 2014 is £70.2.
Next, we'll have to compute the cost of the ticket in 2015. Let y be the increase in cost of the ticket. If the cost of the ticket is 5% of £70.2, then the expression should be like this:
y = 70.2 x 5%y = 70.2 x 0.05y = £3.51Let's add £3.51 to £70.2 ⇒ £3.51 + £70.2 = £73.71
The cost of the season ticket in 2015 is £73.71. This is also the cost of the season ticket after two price increases.
Which type of transformation is shown in the figure on
the left?
O translation
O reflection
O rotation
O dilation
The answer is reflection
yea the answer is reflection
The type of transformation that's shown in the figure on the left is; reflection
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs,
A reflection is defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis such as; if we're seeing it in a mirror.
We will find that its symmetric, thus each point is equidistant from the axis of reflection such that of the image of that point.
The answer is; reflection
Learn more about reflection here;
https://brainly.com/question/28186407
#SPJ6
[tex]y/8=5[/tex]what is "y' in y/8=5
Answer:
Y=40
Step-by-step explanation:
Y/8=5
(Y/8)*(8)=(5)*(8)
Y=40
What is the midpoint of the line segment with the equation y=12x+3 between x=−4 and x=8?
(6,6)
(2,−2)
(2,4)
(2,2)
Answer:
2,4 ((((((((((((((((((((
Please help with these questions please!!!
Answer:
1). x = 0
2). Option 3
Step-by-step explanation:
1). If the two triangles are similar,
Their corresponding sides will be proportional.
[tex]\frac{5x+2}{6}=\frac{x+4}{12}[/tex]
12(5x + 2) = 6(x + 4)
60x + 24 = 6x + 24
60x - 6x = 24 - 24
54x = 0
x = 0
2). Option 1
2(x - 6) + 3 - 5x = -3x - 9
2x - 12 + 3 - 5x = -3x - 9
-3x - 9 = -3x - 9
True.
Option 2
4(2x - 5) + 10 - 5x = 3x - 10
8x - 20 + 10 - 5x = 3x - 10
3x - 10 = 3x - 10
True
Option 3
5x + 4 = 3x + 4
False
Option 4
8x + 3 - 2 = 8x + 1
8x + 1 = 8x + 1
True.
Therefore, option 3 is False.
What is the measure, in degrees, of
PLEASE HELP
Answer:
58 degrees
Step-by-step explanation:
Complementary angles add together to 90 degrees
(5x + 8) + (3x + 2) = 90
8x + 10 = 90
x = 10
5(10) + 8 = 58