Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x−10−3x=3x−12−3x
−2x−10=−12
Step 2: Add 10 to both sides.
−2x−10+10=−12+10
−2x=−2
Step 3: Divide both sides by -2.
−2x/−2 = −2/−2
x = 1
parallel lines l and m are intersected by transversal t as shown below which of the following angles are alternate interior angles
a. 1 and 5
b. 4 and 6
c. 2 and 7
d. 3 and 6
Answer:
c 2and7
Step-by-step explanation:
1 to 2 to 3 to 4 the789
OQ and RT are parallel lines.
Which angles are alternate exterior angles?
Options:
a) <OPN and <OPS
b) <OPN and <TSU
c) <OPN and <QPS
d) <OPN and <QPN
Answer: b) angle OPN and angle TSU
=========================================================
Explanation:
Each answer choice involves angle OPN, so the other angle must be based off this. The other angle is TSU because these two angles are on alternating sides of the transversal line UN.
Angle OPN and angle TSU are also exterior angles because they are on the outside region of the parallel lines OQ and RT.
So combine the two concepts and we can say that angles OPN and TSU are alternate exterior angles. The other alternate exterior angle pair is angle USR and angle NPQ.
Due to the parallel lines, the alternate exterior angles are congruent.
.
What is the equation in standard form of the line that passes through the point (4, −8) and has a slope of 1/4?
A) x − 4y = 36
B) x − 4y = −28
C) x − 4y = −36
D) x − 4y = 28
Answer:
Option A is correct.
Step-by-step explanation:
Given
The point (4, -8)Slope m = 1/4To determine
What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = 1/4 and the point (4, -8)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-8\right)=\frac{1}{4}\left(x-4\right)[/tex]
[tex]y+8=\frac{1}{4}\left(x-4\right)[/tex]
Subtract 8 from both sides
[tex]y+8-8=\frac{1}{4}\left(x-4\right)-8[/tex]
[tex]y=\frac{1}{4}x-1-8[/tex]
[tex]y=\frac{1}{4}x-9[/tex]
Writing the equation in the standard form
As we know that the equation in the standard form is
Ax+By=C
where x and y are variables and A, B and C are constants
so
[tex]y=\frac{1}{4}x-9[/tex]
[tex]x=4y+36[/tex]
[tex]x - 4y = 36[/tex]
Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:
[tex]x - 4y = 36[/tex]
Hence, option A is correct.
This is my last question can someone help me with my homework.
9514 1404 393
Answer:
C, A, A
Step-by-step explanation:
In general, you ...
identify the coefficients of one of the variablesswap them, and negate one of themmultiply the corresponding equations by the "adjusted" coefficients.__
In problem 1, the x-coefficients are 8 and 2. A common factor of 2 can be removed so that we're dealing with the numbers 4 and 1. Assuming we want to multiply one of the equations by 1, leaving it unchanged, the value we want to multiply by will be -4. After we swap the coefficients, that multiplier is associated with equation 2:
multiply equation 2 by -4 . . . (eliminates x)
Likewise, the y-coefficients in problem 1 are -1 and 3. Again, if we want to multiply one of the equations by 1, leaving it unchanged, the coefficient we will change the sign of is -1 (becomes 1). After we swap the coefficients, the multiplier 3 is associated with equation 1:
multiply equation 1 by 3 . . . (eliminates y)
These two choices are B and A, respectively, so the one that does NOT work for problem 1 is choice C, as indicated below.
__
The other problems are worked in a similar fashion.
Mark drives a distance of 124 miles in 3 hours. He drove 4512 miles during the first hour. He drove equal distances in each of the remaining 2 hours to complete his journey. What is the distance covered in the last hour?
Answer:
[tex]x = 39\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]Total\ Distance = 124\ miles[/tex]
[tex]First\ hour = 45\frac{1}{2}[/tex]
Required
Determine the distance covered in the last hour
Since the distance in the last 2 hours are the same. Represent the distance in each of the remaining hours as x.
So:
[tex]First\ Hour + Second\ Hour + Third\ Hour = Total[/tex]
[tex]45\frac{1}{2} + x + x = 124[/tex]
[tex]45\frac{1}{2} + 2x = 124[/tex]
Collect Like Terms
[tex]2x = 124 - 45\frac{1}{2}[/tex]
[tex]2x = 124 - \frac{91}{2}[/tex]
Take LCK
[tex]2x = \frac{248-91}{2}[/tex]
[tex]2x = \frac{157}{2}[/tex]
Divide both sides by 2
[tex]x = \frac{157}{2} * \frac{1}{2}[/tex]
[tex]x = \frac{157}{4}[/tex]
[tex]x = 39\frac{1}{4}[/tex]
Hence, the distance in the third lap is: [tex]x = 39\frac{1}{4}[/tex]
A kite is flying 100 m high from the ground level. If it starts descending 10 m/min, how much time will the kite take to touch ground level?
Answer:
10 minutes
Step-by-step explanation:
100 meters/10 meters per min. Cancel out the meters, and you're left with 10 minutes.
will gibe brainlest and 5 stars and thanks
Answer:
2160 cm
Step-by-step explanation:
9x5x4x12=2160 :)
Answer:
42
Step-by-step explanation:
Divide the shape into a square and a triangle.
The area of the square would be 4×9 which is 36.
The area of the triangle will be 3*4/2=6
Add them to get 42
Find the distance, slope, and midpoint of the segment with endpoints A(5,4) and B(-1, 12)
Answer:
Step-by-step explanation:
So what y’all know about this???
Answer:
1.052
Step-by-step explanation:
Add 1 to the percent increase.
1 + 5.2% = 1 + 5.2/100 = 1 + 0.052 = 1.052
Answer: 1.052
2. What function types can be multiplied together to build a
new function of degree 5? How many total zeros will the
function have? How many can be imaginary?
Answer:
To get a function of degree 5, either functions of degree 1 and 4 or functions of degree 2 and 3 should be multiplied.
This function will have a total of 5 zeros, same as its degree.
The function of degree 5 will have at least one and up to five real zeros
The rest of the zero's are imaginary.
So if has 2 real zeros, then the remaining 3 will be imaginary.
Maximum number of imaginary zero's is 4.
2 3/4 divided by 5 1/2
Answer: 0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
2.75/5.5=.5
I WILL AWARD BRAINLIEST TO RIGHT ANSWER
an airplane 30,000 feet above the ground begins descending at a rate of 2000 feet per minute write a linear model to represent the model
Answer:
y = -2000x+30000
Step-by-step explanation:
Hi. So, you are just setting up a linear equation using slope intercept data. The slope being -2000 (because it is descending) and the intercept being 30,000 at t=0.
y = -2000x+30000
During the 2009/2010 school year, Detroit students missed an average of 9 weeks of school. Let's say that the school year is 39 weeks long. If this is true, what percentage of school time did the average student miss that year in Detroit
Answer:
The percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.
Step-by-step explanation:
The percentage of school time missed by the average student during 2009/2010 school year in Detroit can be calculated as follows:
Percentage of school time missed = (Average number weeks of school missed / Total number of weeks in a school year) * 100 ................... (1)
Where;
Average number weeks of school missed = 9
Total number of weeks in a school year = 39
Substituting the values into equation (1), we have:
Percentage of school time missed = (9 / 39) * 100
Percentage of school time missed = 0.230769230769231 * 100
Percentage of school time missed = 23.0769230769231%
Rounding to 2 decimal places, we have:
Percentage of school time missed = 23.08%
Therefore, the percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.
20.) If w = 3, which inequality is true?
2w + 2 >9
O-3W-1 <-12
5 - 4w <-6
O -12-5w > -27
HELP PLSSSS
Answer:
W=-1
Step-by-step explanation:
function represented by the table? What is the rate of change for the 1 2 -2 0 -1 -8 у 12 -3 2 7 A. 5 B. 1 C. i nin D. -5
Answer:A:0
Step-by-step explanation:hope this helps :)
1 person can cut a large area of grass in 5 hours. How long would it take 2 people to cut the grass
Answer:
Well going with the answer mathematically, it would take 2.5 hours for 2 people to cut the grass.
the cost per month of making n number of wooden toys is 3n + 30. the income from selling n toys is 6n. how many toys must the company make to make a profit
Answer:
3×6=18+30=48. so company needs to make 48 toys
Answer:
n > 10, or n = 11. Not sure which answer fits your hw better.
Step-by-step explanation:
6n > 3n + 30
6n-3n > 30
(3n > 30)/3
n > 10
So, you need to sell 10 toys in order to break even, which means you need to make and sell 11 toys at least to make a profit.
Check time!
6(11) > 3(11) +30
66 > 63
How do I solve this I've been on this question for 3 weeks!!
Answer:
c=3√5
Step-by-step explanation:
it appears the vertices of the inscribed quadrilateral,cuts the edges of the square at certain points that form right angles,with C being the hypotenuse.
c=√3²+6²
c=√9+36
c=√45=3√5
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer: Yes, it is in the blue shaded area
Step-by-step explanation:
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
Answer:
I think answer is 3.
Step-by-step explanation:
2+3=52*3=6Answer:
I think it will be like that:
(X+5)×-2=6
-2x-10=6
-2X=16
X=-8
Write the quadratic in standard form please!
-4x+6x^2=-4+3x^2
-4x +6x²=-4+3x²
6x²-3x²-4x+4=0
3x²-3x+4=0
can you guys help me
Answer:
The answer is 76.
Step-by-step explanation:
≅ means to be equal to.
☆Angle DGE ≅ EGF.
Therefore, 3x + 8 = 5x - 12
☆Let's solve that equation.
[tex]3x + 8 = 5x - 12 \\ \frac{ - 5x \: \: \: \: \: \: \: = - 5x \: \: \: \: \: \: \: \: }{ - 2x + 8 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: - 8 = - 8}{ \frac{ - 2x}{ - 2} = \frac{ - 20}{ - 2} } \\ x = 10[/tex]
We found the value of x which is 10.
☆Let's Now plug in.
[tex]DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38[/tex]
and the other:
[tex]EGF \\ 5x - 12 \\ 5(10) - 12 \\ 50 - 12 \\ 38[/tex]
☆They asked for what the angle of DGF measured. So we would have to add both sides
[tex]38 + 38 = 76[/tex]
☆The answer is 76
If m angle HJM=145 find m angle MHJ
Answer:
d. 35°Step-by-step explanation
∠MJH = 180 - 145
= 35°
Assuming the two angles form a straight line then the measure of the other angle is 35°
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50 is equal to 180°
Given here, m∠HJM = 145° then m∠MHJ = 180° - 145°
= 35°
Hence the measure of the angle is 35°
Learn more about supplementary angles here:
https://brainly.com/question/13045673
#SPJ2
Please give me the correct answer
Answer:
YES
Step-by-step explanation:
Area of the largest square = Sum of area of the smaller squares
13² = 12² + 5²
169 = 144 + 25
169 = 169
TRUE
This proves the Pythagoras theorem in a right angle triangle.
(Hypotenuse)² = (leg 1)² + (leg 2)²
Therefore, answer is YES.
Factor the expression using the GCF.
26x - 13
Answer:
13 ( 2 x − 1 )
Step-by-step explanation:
Factor 13 out of 26 x − 13
Answer:
13 ( 2x-1 ) hope this helps !!!!
Step-by-step explanation:
A package of textbooks weighed 80 ounces, how many pounds did the textbooks weigh?
will give brainlest and 5 stars and thanks
Answer: 6m²
Step-by-step explanation:
Area of triangle: 1/2 × b × h
b = 3 h = 4
1/2 × 3 × 4 = 1/2 × 12 = 6
i need help i suck at these
Answer:
i will help
Step-by-step explanation:
2 hours=21.50
3 hours= 32.25
4 hours= 43.00
Answer:
2 - 21.5
3 - 32.25
4 - 43
Step-by-step explanation:
10.75 × 2 = 21.5 ÷ 2 = 10.75
10.75 × 3 = 32.25 ÷ 3 = 10.75
10.75 × 4 = 43 ÷ 4 = 10.75
Combine like terms: 4f + 3e - 2f - e
Answer:
2f + 2e
Step-by-step explanation:
4f -2f = 2f
3e - 1e = 2e
2f + 2e
3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P. Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?
Answer:
Marcus is wrong.
Step-by-step explanation:
As we see from the figure the angles ORP and PRM makes 180 degrees or are supplementary angles.
Marcus is wrong because a linear pair has a sum equal to 180 degrees.
But if we observe carefully the angles ORP and LRP don not together make an angle of 180 degrees. Also these angles do not have opposite rays .
Therefore angles PRM and ORP are linear pair angles but angle ORP and angle LRP are not a linear pair.
These angles do not have opposite arms as uncommon sides .
The linear pair must have
1) 180 degrees
2) opposite rays as uncommon sides
3) common vertex
Answer:
He is incorrect. Ray RO and ray RL are not opposite rays.
Step-by-step explanation:
Marcus is incorrect. In order for angles to be a linear pair, the rays of the angles that don't have a common side point, need to be opposite. This is not true for rays RO and RL, so Marcus's statement is not true.