Answer:
x=1/2
Step-by-step explanation:
98+29x=96+33x
Step 1: Simplify both sides of the equation.
29x+98=33x+96
Step 2: Subtract 33x from both sides.
29x+98−33x=33x+96−33x
−4x+98=96
Step 3: Subtract 98 from both sides.
−4x+98−98=96−98
−4x=−2
Step 4: Divide both sides by -4.
−4x
−4
=
−2/−4
x=1/2
50 POINTS FOR EACH ANSWER!!! Write the difference of the expressions 17x−13y+8 and 20x+6y and simplify it.
Answer:
-3x-19y+8
Step-by-step explanation:
Answer:
-3x-19y+8
Step-by-step explanation:
thanks for 50 points.
3. If m angle 2=98°, m angle 3=23°, and m angle 8=70°, find each measure. 4. If m angle 3=54°, find each measure.
Answer:
Step-by-step explanation:
3). m∠1 = 180° - 98° = 82°
m∠7 = 180° - ( 98° + 23° ) = 59°
m∠6 = 180° - ( 70° + 59° ) = 51°
m∠9 = m∠6 = 51°
m∠10 = 180° - 51° = 129°
m∠4 = 180° - ( 70° + 51° ) = 59°
m∠54 = 180° - (23° + 59° ) = 98°
4). m∠1 = m∠4 = m∠11 = m∠13 = 90° - 54° = 36°
m∠2 = m∠5 = 90°
m∠6 = m∠3 = m∠8 = m∠10 = 54°
m∠7 = m∠9 = 90° + 36° = 126°
m∠12 = m∠14 = 180° - 36° = 144°
The measure of an an angle can be found from other known angles and the angular relationships present
The measures of the angles are;
3. a. m∠1 = 82°, [tex]{}[/tex] b. m∠4 = 59°, c. m∠5 = 98°, d. m∠6 = 51°, e. m∠7 = 59°, [tex]{}[/tex] f. m∠9 = 51°
4. a. m∠1 = 36°, [tex]{}[/tex] b. m∠2 = 90°, c. m∠4 = 36°, d. m∠5 = 90°, e. m∠6 = 54°, [tex]{}[/tex] f. m∠7 = 126°, g. m∠8 = 54°, h. m∠9 = 126°, i. m∠10 = 54°, [tex]{}[/tex] j. m∠11 = 36°, k. m∠12 = 144°, l. m∠13 = 36°, m. m∠14 = 144°
The reason the above values are correct are as follows;
The known parameters are;
m∠2 = 98°
m∠3 = 23°
m∠8 = 70°
a. m∠1 and m∠2 are linear pair angles
Therefore;
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180° - 98° = 82°
m∠1 = 82°
b. m∠4 = m∠7 = 180° - m∠2 - m∠3
∴ m∠4 = 180° - 98° - 23° = 59°
m∠4 = 59°
c. m∠5 = 180° - m∠3 - m∠4 (sum of angles on a line)
∴ m∠5 = 180° - 23° - 59° = 98°
m∠5 = 98°
Also m∠2 = m∠5 (corresponding angles)
d. m∠6 = 180 - m∠7 - m∠8 (sum of angles on a line)
∴ m∠6 = 180° - 59° - 70° = 51°
m∠6 = 51°
e. m∠7 = m∠4 = 59° (alternate interior angles theorem)
f. m∠9 = 180 - m∠4 - m∠8 (angles sum property of a triangle)
∴ m∠9 = 180° - 59° - 70° = 51°
m∠9 = 51°
Also, m∠9 = m∠6 = 51° (corresponding angles)
4. m∠3 = 54° (given)
a. m∠1 = 180° - 90° - 54° = 36° (sum of angles on a line)
m∠1 = 36°
b. m∠2 = 90° (given, geometry symbol)
c. m∠4 = m∠1 = 36° (vertical angles)
m∠4 = 36°
d. m∠5 = m∠2 = 90° (vertical angles)
m∠5 = 90°
e. m∠6 = m∠3 = 54° (vertical angles)
m∠6 = 54°
f. m∠7 = m∠1 + m∠2 (corresponding angles, angle addition)
m∠7 = 36° + 90° = 126°
m∠7 = 126°
g. m∠8 = 180° - m∠7 (linear pair)
m∠8 = 180° - 126° = 54°
m∠8 = 54°
h. m∠9 = m∠7 = 126° (vertical angles)
m∠9 = 126°
i. m∠10 = m∠8 = 54° (vertical angles)
m∠10 = 54°
j. m∠11 = 180° - m∠5 - m∠8 (angles sum property of a triangle)
m∠11 = 180° - 90° - 54° = 36°
m∠11 = 36°
k. m∠12 = 180° - m∠11 (linear pair)
m∠12 = 180° - 36° = 144°
m∠12 = 144°
l. m∠13 = m∠11 = 36° (vertical angles)
m∠13 = 36°
m. m∠14 = m∠12 = 144° (vertical angles)
m∠14 = 144°
Learn more about angles formed between two parallel lines having a common transversal here:
https://brainly.com/question/11803850
HELP ME ASAP IF U CAN!!! a baker needs sugar syrup that is 40% sugar how many gallons of water shoud he add to 5 gallons of 70% sugar syrup to make the 40% syrup.
Answer:
The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.
Step-by-step explanation:
The percentage concentration ([tex]r[/tex]), dimensionless, is determined by the following expression:
[tex]r = \frac{V_{sugar}}{V_{sugar}+V_{water}}[/tex] (1)
Where:
[tex]V_{sugar}[/tex] - Volume of sugar, measured in gallons.
[tex]V_{water}[/tex] - Volume of water, measured in gallons.
A 70 % sugar syrup means that there are 7 parts of sugar for each 10 parts of solution, that is, 7 parts of sugar and 3 parts of water. We need to add more water to dilute the solution to 40 %. Then, the new concentration must be equal to:
[tex]r' = \frac{V_{sugar}}{V_{sugar}+V_{water}+V'}[/tex] (2)
Where [tex]V'[/tex] is the addition of water needed to dilute the solution, measured in gallons.
If we now that [tex]V_{sugar} = 3.5\,gal[/tex], [tex]V_{water} = 1.5\,gal[/tex] and [tex]r' = 0.4[/tex], then the quantity of additional water is:
[tex]\frac{3.5\,gal}{5\,gal+V'} = 0.4[/tex]
[tex]3.5 = 0.4\cdot (5+V')[/tex]
[tex]3.5 = 2+0.4\cdot V'[/tex]
[tex]0.4\cdot V' = 1.5[/tex]
[tex]V' = 3.75\,gal[/tex]
The baker should add 3.75 gallon of water to 5 gallons of 70 % sugar syrup to make the 40 % syrup.
Answer:
3.75 gallons of water should be added
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
x = 5Step-by-step explanation:
As we know that
The exterior angle of a triangle is the result of the sum of the measures of the two non-adjacent interior angles.In other words,
An exterior angle is equal to the sum of the two angles not right next to it.so from the diagram,
(11x+5) is the exterior angle30° and (-5+7x) are the two non-adjacent interior angles.so
[tex]11x+5\:=\:30+\:\left(-5+7x\right)[/tex]
[tex]11x+5=30-5+7x[/tex]
[tex]11x=7x+20[/tex]
subtract 7 from both sides
[tex]11x-7x=7x+20-7x[/tex]
[tex]4x=20[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{20}{4}[/tex]
[tex]x=5[/tex]
Therefore, x = 5
Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer:
a times 12=300
Step-by-step explanation:
donated each month a should be 25. $25 times 12 equals 300
Answer:
C.
a × 12 = 300
Step-by-step explanation:
PLEASE GUYS PLS HELP ME W THIS ONE QUESTION I NEED IT BY TMR OR IM DEAD SO PLS -
Answer:
(a) 32 (b) 192
Step-by-step explanation:
Since there are no other measurements i thought that it would be two 16 by 6 rectangles so you would just double the length but the height would stay the same.
Hope this helps :D
Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
Answer:
The answer is 8 The GCF of 24 and 32 is 8
Step-by-step explanation:
Hope this helps
Answer:
the answer is 8
Step-by-step explanation:
Help me please need it for now
A painter charges $200 plus $25 per can of paint used.
a. Write a function to represent the total charge for a certain number of cans
of paint.
b. What is the value of the function for an input of 4, and what does it
represent?
Answer:
A- 200+25x
B- 200+25×4=300
Continued for question B: The input of 4 into "x" indicates how many cans of paint you have bought
Step-by-step explanation:
Explain the steps to solve for g in the equation -1/3g+5=2
Answer:
g=9
Step-by-step explanation:
-1/3x9=-3+5=2
You make $0.50 for every newspaper you sell during the week. Last week you made $30.50 How many newspapers did you sell.
Answer:
You sold 61 news papers.
Step-by-step explanation:
If each paper is $0.50, you multiply it by 61, you will get $30.50
Answer:
Step-by-step explanation:
$0.50 for every newspaper sooo.... 50cts + 50 cts is $1.00
50 .....1.00.....1.50.....2.00....2.50...3.00...3.50...4.00...4.50...5.00...5.50...6.00..
you know where i'm going with this... count by 50s and write them down and then count. it may be a lot but the grades matter. good luck.
URGENT!!! my question is in the picture brainliest, extra points, i have other questions on my page please answer those too
Answer: heyo my friend, missed ya <3
Step-by-step explanation:
Which of the following combinations cannot be the side lengths of a triangle?
1. 2.3 inches, 3.4 inches, and 3.2 inches
2. 4.8 inches, 5 inches, and 1.2 inches
3. 2.5 inches, 2.5 inches, and 2.5 inches
4. 6.7 inches, 1.1 inches, and 7.9 inches
9514 1404 393
Answer:
4. 6.7 inches, 1.1 inches, and 7.9 inches
Step-by-step explanation:
In order for three lengths to be able to form a triangle, the sum of the shorter two must exceed the longest.
1. 2.3 +3.2 > 3.4 . . . will form a triangle
2. 1.2 +4.8 > 5 . . . will form a triangle
3. 2.5 +2.5 > 2.5 . . . will form an equilateral triangle
4. 1.1 +6.7 = 7.8 ≯ 7.9 . . . will not form a triangle
_____
The symbol ≯ is "not greater than". The typeset version looks like ...
[tex]1.1+6.7 \ngtr 7.9[/tex]
Which describes the transformation of the triangle?
a. reflection over the x-axis
b. reflection over the y-axis
c. rotation 90º CW about the origin
d. rotation 180º CW about the origin
Answer: b. Reflection over the y axis.
Step-by-step explanation: The vertical line is the y axis, and the triangle is flipped over it.
Find the slope of a line perpendicular to a line containing points (3,-5) and (1,7)
Answer:
Slope of a line perpendicular to a line = [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
(x₁ , y₁ ) = (3 , -5) & (x₂, y₂) = (1 , 7)
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{7-[-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= - 6[/tex]
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex]
[tex]= \frac{-1}{-6}\\\\= \frac{1}{6}[/tex]
Lara measured a swimming pool MAD scale drawing scale used what is 9 mm: 4 m in the drawing the pools 99 mm long what is the length of the actual pool
Answer: The actual pool is 44 m long.
Step-by-step explanation:
Given : The scale used for drawing :
9 mm: 4 m
i.e. for each 1 mm of drawing we have [tex]\dfrac{4}{9}\ \text{m}[/tex] of actual pool.
If the pool is 909 m long , then the actual pool will be [tex]\dfrac49\times99= 4\times11=44\text{ m long.}[/tex]
hence, the actual pool is 44 m long.
5 to the 2 power
help
Answer:
25
Step-by-step explanation:
5²=25
Answer:
25
Step-by-step explanation:
it is like 5 times 5
Please help me with questions 3-12 but I have number 4 done ✅
Answer:
3. 55
6. 16m
8. 7m + 10
Step-by-step explanation:
Thats all i could do im not that smart
Divide write answer in simplest form 8 1/3 ÷ 2/3
See attachment for math work and answer.
Which number does NOT represent a rational number
A. √144
B. √90
C. √100
D. 0.8
Answer:
Step-by-step explanation:
B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.
please help me I will mark BRAINLIEST and I will give you a rating of 5 stars
Answer:
141 = 145 184-188
Step-by-step explanation:
to find the pattern you would have to see what each of them have in common
All of them 4 was added to the answer
I subtracted both numbers and got 4 then i decided to add 4 to get the other to get the pattern
Doug's teacher told him that the standardized score (z-score) for his mathematics
exam, as compared to the exam scores of other students in the course, is 1.20.
Which of the following is the best interpretation of this standardized score? (4
points)
1) Doug's test score is 120.
2)
Doug's test score is 1.20 times the average test score of students in the
course.
3) Doug's test score is 1.20 above the average test score of students in the
course.
O 4) Doug's test score is 1.20 standard deviations above the average test score of
students in the course.
5) None of the above gives the correct interpretation.
Answer:
Doug’s test score is 1.20 standard deviations above the average test score of the students in the course.
I just took the test and got it right :)
Step-by-step explanation:
i need help with only one question on number 4? anyone pls?
Students at sunnyvale Middle School volunteered to work a 2-hour Shift at a car wash fundraiser. The table shows the number of people who worked Each Shift and how many cars they washed.
is the relationship between the number of cars washed and the number of workers proportional? Complete the sentence
Answer:
the number of cars washed per person is not the same for each number of workers, so the relationship is not proportionalStep-by-step explanation:
Answer:
The number of cars washed per person is not the same for each number of workers, so the relationship is not proportional
Step-by-step explanation:
I-ready
-4 (5x - 1)+ -11 (2x + 4)
Answer:
−42x−40
Step-by-step explanation:
What is the slope a line perpendicular to the line 2x+4y=8? *
Answer:
slope of line perpendicular to given equation(m)=2
Step-by-step explanation:
y=-2(×-3)(x-2) to standard form
(show work)
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below
Multiple choice question
Answer:
d
Step-by-step explanation:
2 X 4 =8
8 X 1 = 8
b. A solution to the equation f(n)=−3 is 5.
Answer:
f(n) = 1
Step-by-step explanation:
Another answer for -3. FxN= -3
What is the solution to this linear system?Enter a value in each box to create an ordered pair?
Answer:
2,7 3,6
Step-by-step explanation:
A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)
