Answer:
x = 15
Step-by-step explanation:
Since m and n are parallel to the line t.
Then (7x - 10) + (6x - 5) = 180° supplementary angles for a linear pair.
(7x - 10) + (6x - 5) = 180°
13x -15 = 180°
13x = 195°
x = 15
Plug x into the angles to solve for angle.
(7x - 10)
(7*15 - 10) = 105 - 10 = 95°
(6x - 5) =
(6*15 - 5) = 90 - 5 = 85°
Keisha is jogging from her house to school. Her school is 4 1/2 miles from her house. She has gone 3/8 miles so far. How many miles does Keisha still have to jog?
The sum of three number is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 41. The difference between 7 times the first number and the second number is 51. Find the three
numbers.
Answer:
The numbers are 8 , 5 , 1
Step-by-step explanation:
Let the three numbers be x,y,z
Sum of three numbere is 14
⇒ x +y + z = 14 ---------------(I)
The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.
⇒ 2x + 4y + 5z = 41 -----------(II)
The difference between 7 times the first number and the second number is 51.
⇒ 7x -y = 51 ---------------(III)
Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.
(I)*(-5) -5x - 5y - 5z = -70
(II 2x + 4y + 5z = 41 {Now add}
-3x - y = - 29 ------------(IV)
Multiply (III by (-1) and then add it with equation (IV)
(III)*(-1) -7x + y = -51
(IV) -3x - y = -29 {Now add}
-10x = -80
x = -80 ÷ (-10)
x = 8
Plugin x = 8 in equation (III) and we obtain the value of y
7*8 - y = 51
56 - y = 51
-y = 51 - 56
-y = -5
y = -5 ÷ (-1)
y = 5
Plugin x =8 and y =5 in equaiton (I)
8 + 5 + z = 14
13 + z = 14
z = 14 - 13
z = 1
If limx-b f(x)=2 and limx-b f(x)=10, then limx-b [3f(x)-4g(x)]=-34
true or false?
Answer:
True
Step-by-step explanation:
limx→b [3f(x)-4g(x)]
limx→b [3f(x)-4g(x)]= limx→b [3f(x)] - limx→b [4g(x)]
= 3[limx→b f(x)] - 4[limx→b g(x)]
Since limx→b f(x) = 2 and limx→b g(x) = 10,
= 3(2)-4(10)
= -34
SOMEONE PLEASE HELP!!!! ILL GIVE BRAINLIEST
Answer:
Your Answer is A.
Step-by-step explanation:
Looking at the picture the LM is the original and wants to translate it to L'M'.
So Right 5 and 2 up.
Answer:
A
Step-by-step explanation:
LM is 5 units away from LM'
LM is 2 units down from LM'
BRAINLIEST please if this helped!PLEASE HELP what is the remainder if 3⁷³ is divided by five please and BRAINLIEST
Answer:
3
Step-by-step explanation:
3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,
3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.
Write an equation in point-slope form for the line that passes through the points (f, g) and (h,j).
Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the lineTo write an equation in point-slope form:
Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]Solving the QuestionWe're given:
The line passes through the points (f,g) and (h,j)Solve for the slope (m):
[tex]y-y_1=m(x-x_1)[/tex]
⇒ Plug in the point (f,g) as (x,y):
[tex]g-y_1=m(f-x_1)[/tex]
⇒ Plug in the point (h,j) as (x₁,y₁):
[tex]g-j=m(f-h)[/tex]
⇒ Isolate m by dividing both sides by (f-h):
[tex]\dfrac{g-j}{f-h}=m[/tex]
⇒ Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].
Plug the slope into the general equation:
[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]
Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
AnswerThere can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
Drawing a 3 cards that are all 9 from a deck of cards
Answer:
the answer is 3 :))
Step-by-step explanation:
9/3= 3
In the equation 3s +135= 4.5 (s +10) what is s
4 + (x + y) = (4 + x) + y =
what are the properties?
Answer:
Distributive
Step-by-step explanation:
Hello, pls help. Ty!
[tex] [/tex]
Answer:
See below ↓↓↓
Step-by-step explanation:
Question #1
line DE is the segment bisector as it bisects the line segment ACQuestion #2
A bisector divides a line in halfSo, AB = 1/2ACAB = 1/2 x 20 = 10 cmQuestion #3
Similarly, it divides the line in half in this case as wellBC = 1/2AC or AC = 2BCAC = 2 x 7 = 14 cmEight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.
Answer:
1 pound of peanuts cost 3 dollars
1 pound of wallnuts costs 2 dollars
Step-by-step explanation:
24/6=4
12/6=2
Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy
Answer:
The GCF for the numerical part is 2
Step-by-step explanation:
6x^2y^2-8xy^2+10xy
It contains both numbers and variables, there are two steps to find the GCF(HCF).
1). Find the GCF for the numerical part 6, -8,10
2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3
3).Multiply the values together.
Find the common factors for the numerical part:
6,-8,10
Factors of 6
6: 1,2,3,6
Factors of -8
-8: -8,-4,-2,-1,1,2,4,8
Factors of 10
10:1,2,5,10
Common factors of 6,-8, 10 are 1,2
The GCF Numerical=2
The GCF Variable= xy^2
Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2
rectangular floor is 8 yd long and 3 yd wide. what is the area in square feet?
Answer:
216 square feet
Step-by-step explanation:
First we must convert both dimensions to feet. 1 yd = 3 feet
8 yd = 24 feet and 3 yd = 9 feet
We got the yd by multiplying by 3 to get the number of fett.
Area of a rectangle = base * height
24 feet * 9 feet = 216 square feet
I need help please give explanation and thank you
Find the sum of the interior angle measures of a 14-gon.
The sum is___ degrees.
Step-by-step explanation:
the sum of interior angles in a triangle is 180°.
the sum of interior angles of a polygon, is the product of the number of triangles in the polygon (that can be created from a single vertex or corner via lines to all other corners) and 180°.
so, in reality, the number of triangles in each polygon is two less than the number of sides (because the lines to the 2 neighboring corners are sides and do not create triangles).
so the formula for the sum of all interior angles is
(n - 2) × 180
with n being the number of sides of the polygon.
in our case
(14 - 2) × 180 = 12×180 = 2160°
If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
Answer:
There are two complex roots
Step-by-step explanation:
Answer:
A. There are two complex roots
Step-by-step explanation:
got it right on edg.2022 <3
a retailer purchased a camera for rs.1560 and sold it at 5% loss find the loss amount
Answer:
Loss is Rs. 78
Step-by-step explanation:
Solution:
Given,
Cost Price (CP)= Rs.1560Loss Percent (L%) = 5%Here,
L%= L/CP ×100%
or,. 5 =L/1560×100
or,. 5×1560/100 =L
or,. L= Rs.78
Therefore, Loss is Rs.78
PLS HELP FAST!!! NO LINKS
Answer:
Im 98% sure its the first one
Step-by-step explanation:
Identify the indicated angles as Adjacent, vertical, linear, or complimentary
Carlos has 8 dollars and 48 cents. Alissa has 4 dollars and 14 cents. How much money does Carlos need
To give Alissa so that each of them has the same amount of money?
Answer:
.2 dollars and 17 cents
Step-by-step explanation:
Carlos has 8dollars and 48 cents --->8+0.48=8.48
Alissa has 4dollars and 14 cents--->4+0.14=4.14 let
x--->amount of money that Carlos needs to give Alissa
The linear equation that represents this situation is 8.48-x=4.14+x
solve for x2x=8.48-4.14
2x=4.34
x=2.17
therefore,the amount of money is 2 dollars and 17 cents.
thank you
by Angel osei
which statement about the transformation is true? A. the unshaded octagon is a reflection because it is a flip over a diagonal line B. the unshaded octagon is a dilation because it is smaller than the shaded octagon C. the unshaded octagon is a horizontal translation because it is directly to the left of the shaded octagon D. the unshaded octagon is a vertical translation because it is directly under the shaded octagon
Write an equation in slope-intercept form of the line shown.
An equation is
Answer:
Slope-intercept Form: y = 3/4*x -2
Step-by-step explanation:
From looking at the graph we can get out slopes which is rise/run and y-intercept.
m = 3/4 and b = -2
Slope-intercept Form: y = 3/4*x -2
If the teacher wants to show work you would have to use a point-slope form using those two points to solve m. Then using a point and slope plug that into the point-slope form and make it into slope-intercept form.
[80 POINTS] An engineer is designing a new drill bit as shown in the diagram. To finalize the design, the engineer needs to know the volume of the drill bit.
What is the volume of the drill bit?
Answer:
2,106 pi mm3
Step-by-step explanation:
Volume of the drill bit is equals to [tex]2,106\pi mm^{3}[/tex].
What is volume?" Volume is defined as the total space occupied by a three dimensional object enclosed in it. It is measured in cubic unit."
Formula used
Volume of the cone = [tex]\frac{1}{3} \pi r^{2}h[/tex]
Volume of the cylinder =[tex]\pi r^{2}h[/tex]
r = radius of the cone / cylinder
h = height of the cone / cylinder
According to the question,
Given,
Radius of the cylinder = 9 mm
Radius of the cone = 9 mm
Height of the cone = 24 mm
Height of the cylinder = 18 mm
Substitute the values in the formula to obtained the required volume,
Volume of the cone [tex]= \frac{1}{3} \pi (9^{2})(24)[/tex]
[tex]= \pi (81)(8)\\=648\pi mm^{3}[/tex]
Volume of the cylinder [tex]= \pi (9^{2} )(18)[/tex]
[tex]=1458\pi mm^{3}[/tex]
Required Volume of the drill pit
= Volume of the cone + Volume of the cylinder
[tex]= (648\pi + 1458\pi )mm^{3} \\= 2106\pi mm^{3}[/tex]
Hence, Option(B) is the correct answer.
Learn more about volume here
https://brainly.com/question/1578538
#SPJ2
help please!!!!!!!! please be correct
Answer:
Step-by-step explanation:
the answer is 66. To find the third angle subtract 80 and 34 by 180.
a) Write an expression to represent the amount of money you
should have in the following situation.
Angela has $29 in her wallet. She gets paid $19 per hour and she
worked 8 hours last week and 6 hours this week. Then her friend
friend Tom borrowed $58.
b) How much money does Angela have left ?
PLEASE ANSWER THIS. I have an assignment due soon :((
Answer: $237
Step-by-step explanation:
Angela: 29 + 19(6 + 8) - 58
= -29 + 19(14) = -29 + 266 = $237
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is the value of X in simplest radical form?
X=_____
Answer:
X=97
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=65
B=72
72x72=5184
65x65=4225
4225+5184=9409
Last,
Take the square root of 9409.
The square root is 97.
Therefore, the hypotenuse is 97.
To check, use the equation:
[tex]a^2+b^2=c^2[/tex]
A=65
B=72
C=97
72x72=5184
65x65=4225
97x97=9409
5184+4225=9409
9409=9409
Therefore, the missing side, which is the hypotenuse, is 97.
Answer:
97
Step-by-step explanation:
Given:
Opposite = 65Adjacent = 72Hypotenuse = xDefinition:
Opposite is a perpendicular/vertical side.Adjacent is a horizontal side, by adding opposite and adjacent together, you have formed a right angle.Hypotenuse is the longest side of all which is the side that’s opposite of the right angle.To find:
Value of xPythagorean Theorem:
[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]
Determine:
a = oppositeb = adjacentc = hypotenuseNote:
a and b can swap each other so you can determine a = adjacent and b = opposite instead of a = opposite and b = adjacent. This is because of addition property.The exception is value of c - ‘c’ cannot be changed and must be hypotenuse.Therefore, substitute given information in:
[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]
Evaluate:
[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]
Square Root both sides:
[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]
Cancel the squared x, add plus-minus:
[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]
Simplify the surd:
[tex]\displaystyle \large{\pm 97 = x}[/tex]
However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:
[tex]\displaystyle \large{x=97}[/tex]
Hence, the value of x is 97
terry had his car repaired ace auto. he was charged $40 per hour of labor plus 200 for parts. his total bill for the repair before tax was $380. how many hours of labor was terry charged for? write an equation
Answer:
380 = 40h +200 (equation)
4 1/2 hours (solution)
Step-by-step explanation:
The total cost is the sum of labor cost and parts cost. The labor cost depends on the number of hours.
__
An equation describing Terry's charges might be ...
total = labor cost + parts cost
380 = 40h +200 . . . . . . labor was $40 per hour for each of h hours
180 = 40h . . . . . . subtract 200
4.5 = h . . . . . . divide by 40
Terry was charged for 4 1/2 hours of labor.
(WHO WANTS BRAINLIEST! :D)
Sitting in your sailboat looking at the horizon, you see a lighthouse 500 feet away. Looking up at a 20 degrees, you see the light at the top of the lighthouse. How far off the ground is the light in the lighthouse? Round your answer to the nearest tenth.
Answer:
182.0
Step-by-step explanation:
500 tan20
=181.98
=182.0(to nearest tenth)
For which values of x is the expression undefined x-8/x-5
Answer:
(x+10 (3x-45) is the answer of the question so easy
Answer:
x = 5
Step-by-step explanation:
Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0
x - 5 = 0
x = 5
I hope this helps!
Answer the Graph based Question I will make Brainliest + 50 points
Answer:
Here is the answerStep-by-step explanation:
Brainlest me please
#a
Take one coordinate and solve
(-3,5)So
y=x²-k5=(-3)²-k5=9-kk=9-5k=4Take another
(-2,0)So
y=x²-k0=(-2)²-k4-k=0k=4Hence k=4
#b
Graph attached
#c
Turn to vertex form
y=x²-4y=(x-0)²-4Compare to vertex form
y=a(x-h)²+kSo
Vertex(h,k)=(0,-4)#d
At no intervals of x the graph decreases negatively
Because
a is positive (+1) parabola is opening upwards#d
y=4-k²y=2²-k²y=(2+k)(2-k)So if y be 0
x intercepts are
(-2,0) and (2,0)Zeros are
-2 and 2