Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
m∠1 = 93.5°What is the value of x in the equation 4(2x + 14) = 0? (1 point)
O 1) 9
0 2 7
O3) -7
4) - 9
Answer:
-7Step-by-step explanation:
Simplify the equation first:
8x+56=0
-56 on both sides
8x=-56
-56/8=-7
That's your answer: -7
Explain how you can use proportional reasoning to determine the whole if you know that 21 is 60% of the whole.
Step-by-step explanation:
[tex] \frac{60}{100} \times x = 21 \\ x = \frac{21}{ \frac{60}{100} } = 35 \\ [/tex]
which fraction is equivalent to 2/6
Answer:
1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.
Step-by-step explanation:
The equivalent fractions of the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .
The fractions which have the same value but can have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions
The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.
Equivalent fraction can be obtained by multiplying numerator and denominator with the same number .
Example : equivalent fraction of [tex]\dfrac{5}{8}[/tex] is
[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]
According to the data provided in the problem
[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]
Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]
Learn more about equivalent fractions here:
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The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Not that hard, will give brainlist if correct
Answer: y = f(x - 4) - 1, lower left corner
=============================================================
Explanation:
Let's focus on only the left-most points of each curve
For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)
To go from (-7,0) to (-3,-1), we will do two things
Shift 4 units to the rightShift 1 unit downThis can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.
In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.
The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.
Overall, we go from y = f(x) to y = f(x - 4) - 1
Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.
Find the unit rate.
1/2 pound : 5 days
Answer:
= 0.2 pound per day
Step-by-step explanation:
This is a fraction equal to
1 pound ÷ 5 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
1 pound ÷ 5
5 days ÷ 5
=
0.2 pound
1 day
=
0.2 pound
day
= 0.2 pound per day
Help asappp please !!!
can u pls help me with this question
1
Which expression is equivalent to
( 16x9y-12)
?
-
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
principal is 5000 rate p.a. is 8 percent and time 1year
Answer:
5400
Step-by-step explanation:
Given data
P= 5000
r= 8%
t= 1 year
The simple interest expression is given as
A= P(1+rt)
Required
The final amount A
substitute
A= 5000(1+0.08*1)
A= 5000*1.08
A= 5400
Hence the final amount 5400
[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
The perimeter of a regular decagon is 355m.
State the length of one of its sides.
35.5m
Step-by-step explanation:
355m÷10=35.5m answer
Solve for b. 3(b + -2-8=-5 what is the answer?
Equation/Question:
Solve for b. 3(b + -2)-8=-5 what is the answer?
Answer/Steps to answer:
1.Simplify b+-2 to b−2.
3(b−2)−8=−5
2. Add 8 to both sides.
3(b-2)=-5+8
3. Simplify -5+8 to 3.
3(b-2)=3
4. Divide both sides by 3.
b-2=1
5. Add 2 to both sides.
b=1+2
6. Simplify 1+2 to 3.
b=3
Done by NeighborhoodDealer
Diego scored 9 points less then Andre in the basketball game.Noah scored twice as many points as Diego.if Noah scored 10 points , how many points did Andre score
Answer:
14 points.
Step-by-step explanation:
To solve this problem, let's make an equation.
Let x represent the unknown number, or the amount of points Andre scored.
We know that Noah scored 10 points.
Noah scored twice as many points as Diego, therefore Diego must've scored 5 points, because 5 * 2 = 10.
So, if Diego scored 9 points less than Andre, and we know that Diego scored 5 points, then the equation we are left with is
x - 9 = 5
To solve, just add 9 to both sides.
x - 9 + 9 = 5 + 9
We are left with:
x = 14
So, Andre scored 14 points.
I would appreciate brainliest, if not that's ok!
Answer:
Step-by-step explanation:
5 x 5
Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and then returns the marble to the bag. She repeats this process and makes a table with the results.
If there are 500 marbles in the bag, how many of them are most likely green?
Answer:
100000 olacak iyi dersler
B divided by 8= 4
What is B.
Answer
The answer is 32
Step-by-step explanation:
32/8=4
Answer:
b = 32
Step-by-step explanation:
b/8 = 4
Multiply each side by 8
b/8 * 8 = 4*8
b = 32
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
More about the Algebra link is given below.
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HELP ASAP!! Will give brainliest to first correct answer
Answer:
m(∠KJL) = 54°
Step-by-step explanation:
It's given that two sides of ΔJKL are equal in measure.
Therefore, angles opposite to the equal sides will be equal.
By triangle sum theorem in ΔJKL,
m∠KJL + m∠KLJ + m∠JKL = 180°
2(m∠KJL) + 72° = 180°
2(m∠KJL) = 180° - 72°
m∠KJL = [tex]\frac{108}{2}[/tex]
m(∠KJL) = 54°
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Answer:
:)
Step-by-step explanation:
It would cost $150 for a party of 9 people and it would cost $260 for 20 people
i need help asap .
find an equivalent expression for the missing side length of a rectangle. then find the missing side length when x=3. round to the nearest tenth of an inch.
Answer:
first find the length of trangel using
h^2=p^2+b^2
Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]
The missing side length when x =3 is 23.2 inch
Rectangle :In a rectangle , opposite sides are equal . The vertex of rectangle is right angle . The diagonal of rectangle forms a right angle triangle.
Given the width of the triangle is 2x. The diagonal of triangle is 8x inches
Let 'L' be the length of the rectangle
To find out the expression for the length of the triangle use pythagorean theorem
hypotenuse ^2=length ^2 + width ^2
[tex](8x)^2=L^2+(2x)^2\\64x^2+4x^2+L^2\\64x^2-4x^2=L^2\\60x^2=L^2\\L =\sqrt{60x^2}\\ L=\sqrt{60}x[/tex]
An equivalent expression for the missing side length of a rectangle
[tex]\sqrt{60} x[/tex]
find the missing side length when x=3
Substitute 3 for x
[tex]L= \sqrt{60} x\\L =\sqrt{60}(3)\\L= 23.2 inch[/tex]
Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]
The missing side length when x =3 is 23.2 inch
Learn more information about 'Rectangle ' here
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Alejandro makes cafe con leche using 2 parts string cofee and 3 parts whole milk
Answer: say what now?
Step-by-step explanation:
A rectangular price tag has a perimeter of 28 centimeters. Its area is 40 square centimeters.
What are the dimensions of the price tag?
Answer:
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Step-by-step explanation:
bob is life
bob is food
bob is bob
PLZ HELP!!!! I JUST NEED AN ANSWER NOT AN EXPLANATION!!! I WILL GIVE BRAINLIEST TO THE CORRET ANSWER
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation:
16, excursionistas tienen Proviciones Para
12 dias, si al grupo se
agregan 8 Personas
& cuantas dias duraran esas Proviciones?
y=
Answer:
para 10 dias
Step-by-step explanation:
espero te sirva
Which does NOT represent the quotient of 17 ÷ 10? A. 1 7/10 B. 1 R7 C. 10/17 D. 1.7
Answer:
The answer is C
Step-by-step explanation:
Answer:
C. 10/17
Step-by-step explanation:
10/17 is less than the correct answer 1.7 so it is C.
Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
What is 36 over 45 in simplest form
Answer:
4 over 5
Step-by-step explanation:
36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes