Answer:
90°
Step-by-step explanation:
∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.
Arc AG is the other half of the semicircle AGE that includes 90° arc GE.
So, arc AG is 90°.
__
Comment on the problem
"a" and "b" are irrelevant to arc AG. They come into play for arc CE.
Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4
Answer:
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Step-by-step explanation:
To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:
[tex]y = 2*0 - 8 = -8[/tex]
To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:
[tex]0 = 2*x - 8[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
So the y-intercept is -8 and the x-intercept is 4.
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Please answer for brainliest!!!Find the equation of a line that passes through the point (-2,1) and has a gradient of 3. Leave your answer in the form ax+by=c Where a, b and c are integers
Answer:
3x - y = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 1) , thus
y - 1 = 3(x + 2) ← distribute
y - 1 = 3x + 6 ( subtract 6 from both sides )
y - 7 = 3x ( subtract y from both sides )
- 7 = 3x - y, that is
3x - y = - 7 ← in standard form
Expand and then collect the following expression 5(2b+1)+6(3b+2)
Step-by-step explanation:
10b+5+18b+10
28b+15 is the answer
Answer:
28b+17
Step-by-step explanation:
=> 5(2b+1) + 6(3b+2)
Expanding the brackets
=> 10b+5+18b+12
Combining like terms
=> 10b+18b+5+12
=> 28b+17
Please answer this question fast in two minutes
Answer:
(3, 0)
Step-by-step explanation:
M = (-3, -4) - mid point
D= (-9, -8)
C=?
--------
Mid point:
x= (x1+x2)/2, y=(y1+y2)/2
-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0C= (3, 0)
HELP ASAP LINEAR EQUATIONS!!
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
Answer: C) [tex]y = \frac{4}{3} x-10[/tex]
Step-by-step explanation:
First change this equation into slope-intercept form(y = mx + b). y = -3/4x + 3.
For a line to be perpendicular to another line, it must have an opposite reciprocal slope. The opposite reciprocal of -3/4 is 4/3. Thus, the answer is NOT B. Then, attempt to plug in 6, -2 into each equation. The only one where it works is C.
Hope it helps <3
A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.
Answer:
The addition of the same side interior angles is equal to 180°
Step-by-step explanation:
If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.
See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.
Please Help me ASAP Just answers please ;)
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0, -12)?
Answer:
add the y coordinates of the two lines and divide by 2
Step-by-step explanation:
½[0+(-12)]
½[0-12]
½[-12)
y co-ordinate of the midpoint is -6
What is 3/5 of £85? PLEASE HELPPP
Answer:
51
Step-by-step explanation:
85/5x3=51
Answer:
Hey!
3/5 of 85 = 51!
Step-by-step explanation:
3/5 = 0.6
So 0.6 x 85 = 51!
HOPE THIS HELPS!!
What is the slip of the line shown below?
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!
Answer:
Factors: 5x, 3x²y⁵ Not Factor: 10x⁴y³
Step-by-step explanation:
5x is a factor because 15x²y⁶= 5x•3xy⁶
3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y
10x⁴y³ isn't a factor because 15:10=1.5 isn't integer
A standard fair dice is rolled twice. What is the probability of getting an odd number on the first roll and any number except 4 on the other?
Answer:
Let,O and P be the events of getting odd number and any other number except 4 respectively.
n(S)=6
O=(1,3,5) so, n(O)=3
P=(1,2,3,5,6) so, n(P)=5
So,probability of getting an odd number and any other number except 4 will be
n(O)/n(S) × n(P)/n(S)
=3/6 × 5/6
=5/12
May be it's the answer I guess. Hope you're clear with it:-)
If 8a^2+ 2b^2= 10 and ab = 2, then what is the value of (2a+b)^2
Answer:
13
Step-by-step explanation:
We have:
8a^2 + 2b^2 = 10
Dividing both sides by 2,
=> 4a^2 + b^2 = 5
or (2a)^2 + b^2 = 5
We also have ab = 2
=> (2a + b)^2
= (2a)^2 + 2(2a)(b) + b^2
= (2a)^2 + b^2 + 4ab
= 5 + 4(2)
= 5 + 8
= 13
Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11
Step-by-step explanation:
[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions
[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]
no solutions
square root of 524176 by long division
Answer:
724 is the square root of 524176.
Step-by-step explanation:
Square root of 524176 by long division method.
[tex]\sqrt{524176}[/tex] = 7) 52 41 76 (724
7 49
14 2) 341
2 284
144 4) 5776
5776
0
Therefore, square root of 524176 is 724.
A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50
23. A 340 million square mile forest is how many hectares?
Answer:
88059595400 hectares
Step-by-step explanation:
Convert 340 million square miles into hectares.
1 square mile = 258.99881 hectares
340,000,000 square miles = 88059595400 hectares
The forest is 88059595400 hectares.
Answer:
[tex]8.80597(10^{10})[/tex] hectares
Step-by-step explanation:
This is unit conversion:
[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]
We then multiply, with our units miles canceling out and leaving us with hectares:
[tex]8.80597(10^{10})[/tex] hectares
or
88059700000 hectares
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Calculation of the probability:Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Learn more about probability here: https://brainly.com/question/15241200
what is the product of the polynomials below? (8x^2-4x-8) (2x^2+3x+2)
Answer:
B
Step-by-step explanation:
you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.
The product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Product of polynomialsFrom the question, we are to determine the product of the given polynomials
The given polynomials are
(8x^2-4x-8) (2x^2+3x+2)
Their product can be determined as follows
[tex](8x^2-4x-8) (2x^2+3x+2)[/tex]
[tex](8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)[/tex]
Clear the brackets
[tex]16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16[/tex]
Now, collect like terms
[tex]16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16[/tex]
Simplifying
[tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Hence, the product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Learn more on Product of polynomials here: https://brainly.com/question/12885308
#SPJ2
Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x - 21
Cf(x) = x2 - 4x - 21
Cf(x) = x2 - 10x + 21
f(x) = x2 - 10x - 21
Answer:
f(x) = x2 – 10x + 21
Step-by-step explanation:
I got it because you substract and add the last part
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices
help !!
Evaluate 8 - 50g + 2h when g = 10 and h = 5
Answer:
The evaluated answer to this equation is -482
Step-by-step explanation:
h = 5
g = 10
Plug in your numbers for the equation.
8 - 50(10) + 2(5)
Multiply -50 by 10 and multiply 2 by 5.
8 - 500 + 10
Subtract 8 by -500.
-492 + 10
Add 10 to -492.
-482
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4
What is the value of m in the equation
zm = 16, when n = 8?
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
x + y + 5) and (2x – 2y – 3)
Step-by-step explanation:
Since your question is incomplete, I have given you two different options based on your incomplete question.
Hope you understand this.
HAVE A GOOD DAY!
Point A is located at (0, 4) and point C is located at (-3, 5). Find the x value for point B that is located the distance from point A to point C.
Answer: If point B is on the same line and the same distance from points A and C, the location is (-1.5, 4,5)
Step-by-step explanation: For point B to be the same distance from the other two points, it must be halfway between them.
for the x-value, find the number that is halfway between 0 and -3. That is -1.5
For the y-value, find the number that is halfway between 4 and 5. That is 4.5
The coordinate for point B is (-1.5, 4.5)
The diagram shows an irregular octagon. Work out the sum of the interior angles.
Answer:
1080°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides of the polygon
Therefore,
Sum of interior angles of an octagon =180°(8-2)
=1080°
A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:
Regular polygonIrregular polygonThe sum of the interior angles of the irregular octagon is 1080°
The formula to solve for the sum of the interior angles of an irregular polygon is given as:
(n - 2) x 180°
Where n = number of sides.
An octagon is a polygon that has 8 sides. Hence, n = 8
So: (8 - 2) x 180°
= 6 x 180°
= 1080°
Therefore, the sum of the interior angles of the irregular octagon is 1080°
To learn more, visit the link below:
https://brainly.com/question/23425100
Plz Help!!! I really do not get this lesson and I really need to pass it to move onto the next I am kind of getting it, I want to make sure my answer is correct. IS it sas?
Answer:
SSS
Step-by-step explanation:
I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)
Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.
how do you do this : 40% of 98 = _____
Answer:
39.2.
Step-by-step explanation:
Think of the word "of" as a sign that you have to multiply.
- Hope this helped you.
Answer:
39.2
Explanation:
To solve this problem, we must first convert the forty percent into a decimal
⟹ 40% = 0.40
Next, multiply forty percent (as a decimal) by ninety eight
⟹ 0.40 × 98 = ?
⟹ 0.40 × 98 = 39.2
Therefore, forty percent of ninety eight is 39.2.
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
Answer:
The answer is
5y - 12x = - 9Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x - 5y = 2
5y = 12x - 2
Divide both sides by 5
y = 12/5x - 1/5
Comparing with the above formula
Slope / m = 12/5
Since the lines are parallel their slope are also the same.
Slope the parallel line = 12/5
Equation of the line using point (2,3) is
[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]
Multiply through by 5
That's
5y - 15 = 12(x - 2)
5y - 15 = 12x - 24
We have the final answer as
5y - 12x = - 9Hope this helps you