Since it's an angle on a straight line, the value of angle 2 is 23.25°
Angle 1 = m
Angle 2 = m - 27
Angle 3 = 2m + 6
It should be noted that the sum of angles in a straight line is equal to 180°, therefore we need to equate all the angles given to 180°. This will be:
m + (m - 27) + (2m + 6) = 180°
m + m - 27 + 2m + 6 = 180°
4m = 180° + 27° - 6°
4m = 201°
m = 201/4
m = 50.25°
Therefore, angle 2 will be:
m - 27 = 50.25 - 27 = 23.25°
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if i read 50 pages in 40 minutes how many pages do i read a minute
Answer:
You are reading 1 1/4 page/minute.
Step-by-step explanation:
please help me solve for X
Answer:
-7
Step-by-step explanation:
Triangle ABC is shown. What value of x will prove that Triangle ABC is a right triangle?
In the given triangle ABC in the figure, the value obtained for x will be equal to 6.
What is a triangle?The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information in the question,
Use the equation of Pythagoras' theorem,
h² = p² + b²
(2x - 2)² = x² + (x - 2)²
4x² - 2(2x)(2) + 4 = x² + x² + 4 + 4x
4x² - 8x + 4 = 2x² + 4x + 4
4x² - 2x² - 8x - 4x + 4 - 4 = 0
2x² - 12x = 0
2x² - 12x = 0
2x(x - 6) = 0
So,
2x = 0
⇒ x = 0, it is not possible.
Or,
x - 6 = 0
x = 6
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The given question is incomplete, the complete question might be in the attachment.
me need a lot of help
what is 4-1/4 help please
Answer:
3 3/4
Step-by-step explanation:
Because 1 = 4/4
then 4 = 12/4
then you take away 1/4
And get 11/4
Then you Turn that into a mixed number
And get 3 3/4
Decimal form is 3.75
Answer:
15/4 alternate answers - 3 3/4 or 3.75
that's what I got
what is 1+1-923422354x2x26757635
Answer: [tex]-4.9417197e+16[/tex]
Step-by-step explanation:
I NEED THE RIGHT ANSWER ASAP NO LINKS!!!
Answer:
the answer is 21.8
Substitute the value of the variable into the equation and simplify.
Drag each label to the correct location.
Use what you’ve learned about proportional relationships to classify these equations as direct variation, inverse variation, or neither.
PLEASE HELPPP
Answer:
Step-by-step explanation:
A water tank in Stewart's
home had a small, steady
leak.
Loss of 1 3/5 mL in 10 min.
a. Use a complex fraction to
represent the change in the
volume of water in 1 minute.
___ milliliters
10 minutes
b. Simplify the complex fraction to find the change in the volume of water in the tank in 1 minute.
The change in the volume of water in 1 minute is a decrease of 0.16 milliliters.
Since a water tank in Stewart's home had a small, steady leak loss of 1 3/5 mL in 10 min, to find the change in the volume of water in 1 minute, the following calculation must be performed:
The total leak must be calculated and divided by the 10 minutes duration. 3/5 = 0.6 1 + 0.6 = 1.6 1.6 / 10 = 0.16
Therefore, the change in the volume of water in 1 minute is a decrease of 0.16 milliliters.
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The graph shows the amount of money you and a friend are saving for a camping trip.
You: 4 weeks 60 dollars. 8 weeks 120 dollars.
Friend: 2 weeks 40 dollars. 5 weeks 100 dollars
B) Find the slope of each line.
C) How much more money does your friend save each week than you?
D) The camping trip costs $165. How long well it take you to save enough money
sin^2 x - 2sinx + 2 = sin^2 3x
Recall the triple angle identity for sine:
sin(3x) = 3 sin(x) cos²(x) - sin³(x)
… = 3 sin(x) (1 - sin²(x)) - sin³(x)
… = 3 sin(x) - 4 sin³(x)
So the equation is equivalent to
sin²(x) - 2 sin(x) + 2 = sin²(3x)
sin²(x) - 2 sin(x) + 2 = (3 sin(x) - 4 sin³(x))²
sin²(x) - 2 sin(x) + 2 = 9 sin²(x) - 24 sin⁴(x) + 16 sin⁶(x)
16 sin⁶(x) - 24 sin⁴(x) + 8 sin²(x) + 2 sin(x) - 2 = 0
or, by replacing y = sin(x),
16y ⁶ - 24y ⁴ + 8y ² + 2y - 2 = 0
By inspection, y = 1 is a root, since
16 - 24 + 8 + 2 - 2 = 0
so we get one family of solutions,
sin(x) = 1 ===> x = arcsin(1) + 2nπ = π/2 + 2nπ
Now suppose y ≠ 1. Dividing both sides of the sextic equation by y - 1 then gives
(16y ⁶ - 24y ⁴ + 8y ² + 2y - 2)/(y - 1) = 0
16y ⁵ + 16y ⁴ - 8y ³ - 8y ² + 2 = 0
Unfortunately, the remaining roots can only be obtained through numerical methods. Using a calculator, you would find
y ≈ -1.127
y ≈ -0.475 ± 0.368i
y ≈ 0.539 ± 0.127i
But if you're solving over the reals, you can ignore these solutions. Remember that sin(x) is bounded between -1 and 1, and its value goes outside this interval only when x is complex.
Alex's school had 20 hours for 400 students. Abbey's school has 225 students riding 15 uses. Whose school has the greater ratio of students/buses?
Answer:
20/400 or 20 to 400
Step-by-step explanation:
Find the unit rate:
150 words read in 8 minutes
Step-by-step explanation:
the unit rate: 150/8 × 60 minutes =
1,125 words/hour
Answer:
18,75 word read/minutes
or :
1,125 word read/hour
Step-by-step explanation:
The unit rate :
= 150 words read : 8 minutes
= 150/1 words read : 8/1 minutes
= 150/1 × 1/8 word read/minutes
= 150/8 word read/minutes
= 18 6/8 word read/minutes
= 18 3/4 word read/minutes
= 18,75 word read/minutes
= 1,125 word read/hour
What is 241m as a fraction of 5.4km
Answer:
i think 223/499
Step-by-step explanation:
Plot each pair of points in the Cartesian plane and solve for the distance between them. Write your answer on a separate one whole graph paper. ( 15 points) 1. A(0,8) and B(5,5) 2. C(3, 1) and D(0,-2) 3. EC -6,3) and F(-6,-2)
Answer:
hame naghi ahta
Step-by-step explanation:
At a pet store the ratio of cats to dogs sold was 6 : 5. If there were 12 cats that were sold, how many dogs were sold?
1) make q the subject of the formula 4(q+p)=5+7q
2) Make x the subject of the formula y=2a-bx^2
Answer:
1) [tex]q = \frac{4p}{3} -\frac{5}{3}[/tex]
2) [tex]x = \frac{\sqrt{b -y + 2a} }{b}[/tex]
Step-by-step explanation:
1) 4(q + p) = 5 + 7q
Multiply 4(q + p):
4q + 4p = 5 + 7q
4p - 5 = 7q - 4q
4p - 5 = 3q
[tex]\frac{4p}{3} - \frac{5}{3} = \frac{3q}{3}[/tex]
[tex]\frac{4p}{3} - \frac{5}{3} = q[/tex] or [tex]q = \frac{4p}{3} - \frac{5}{3}[/tex]
What is the area of a parallelogram with a base of 20 centimeters and a height of 9 centimeters?
Answer:
Area = 108
Step-by-step explanation:
A = base * height
A = 20 * 9 = ?
A = 20 * 9 = 108
solve the pattern:
15, 17, 32, 49, 81 __ __ ← those are the blank spaces.
Answer:
130 and 211
Step-by-step explanation:
15+17= 32
17+32=49
32+49=81
49+81=130
81+130=211
Answer:
130 and 211
Step-by-step explanation:
15,17,32,49,81 _ _
15+2=17+15=32+17=49+32=81
that mean 81+ 49=130
and 81+130= 211
Hence, the answer is 130 and 211.
Evaluate |bcl. given a = 5, b= -3, and c= -2.
O -6
O -5
O 5
O 6
Answer:
6
Step-by-step explanation:
(-3)(-2) is 6 because if you multiply two negatives it equals a positive, and the absolute value of 6 is 6.
Answer:
6
Step-by-step explanation:
abs(bc)=abs(-3*-2)=abs(6)=6
Which statement is TRUE?
Answer:
it is a or d
Step-by-step explanation:
CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)
Answer:
3. 3/2
4. -1/3
5. -3.5
6. -6and 2/3
7. -18and 13/24
8. 1/18
9.-2.6
10.-1.83
11. 14.963
Step-by-step explanation:
HOPE THIS HELPS, if not see me in the comments
BRANILIEST PLZZZ
What is the equation of the line that passes through the points (4, 15) and (0, 3)?
Answer:
Y=3x+3
Step-by-step explanation:
Gradient = :[tex]\frac{y2-y1}{x2-x1}[/tex] = :[tex]\frac{3-15}{0-4}[/tex] = :[tex]\frac{-12}{-4}[/tex] = 3
Y= mx + c
y = 3x + c
Insert x and y values for first point(4,15)
15 = 3 (4) + c
15 = 12 + c
3 = c
Y=3x +3
Answer:
The equation of the line is y=3x+3
Step-by-step explanation:
y=mx+b is the y intercept form of the equation of this line.
m=slope, and we find the slope by the equation m=y2-y1/x2-x1. Plugging our number into that formula, we get m=3 - 15/ 0 - 4, or -12/-4, which simplifies to 3.
Now we can add our slope into the formula.
y=3x+b
Next, we solve for the y intercept, or b. You can use whatever point to get the answer, but I will use 4 ,15).
y=mx+b is the equation, or substituting the numbers, gets you 15=3×4+b. now solve for b: b=15-(3)(4). b=3.
now, with slope and y intercept plugged in, the final equation is. y=3x+3
Find the value of x.
Answer:
-5
Step-by-step explanation:
hope it works out for you
Fill in the function table: y = -2(x - 1)
please help
we first substitute the x
y= -2(-2-1)
=6
and then use a calculator to do the sum
which gives us 6
y= -2(-1-1)
= 4
y= -2(0-1)
=2
y= -2(1-1)
=0
y= -2(2-1)
=-2
How many tons are equal to 54,000 pounds?
Answer:
I think About 27 short ton
There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?
Answer:
All of them lol.
Step-by-step explanation:
If you take all of them, you have a 100% chance at getting at LEAST 3 candies of the same color.
DOES ANYONE KNOW THIS ONE?
Answer:
no sorry
Step-by-step explanation:
What is the scale factor from Figure A to Figure B?
Answer:
1/3Step-by-step explanation:
The figure B is the scaled copy of the figure A.
The both figures are similar to each other.
The scale factor is the ratio of corresponding sides of figure B to A:
k = 3/9 = 1/3or
k = 1.2/3.6 = 1/3On figure A sides are.
9,3.6On figure B sides are.
3,1.2Scale factor[tex]\sf\longmapsto k=\dfrac{3}{9}=\dfrac{1.2}{3.6}=\dfrac{1}{3}[/tex]
Write the word sentence as an inequality
6 times a number x is at most 47
Writing as a word sentence, the inequality is:
[tex]6x \leq 47[/tex]
6 times a number x is 6 multiplied by x, that is: [tex]6x[/tex].At most 47 means that it is less than, or equals, to 47, hence:[tex]6x \leq 47[/tex]
Hence, the desired inequality, from the given word sentence, is:
[tex]6x \leq 47[/tex]
A similar problem, in which a word sentence is written as an inequality, is given at https://brainly.com/question/11713066
