Answer:
let the angles be x,2x
=>90+x+2x=180
=>3x=90
=>x=30
so, the angles are 30,60
let the angles be x,2x
=>90+x+2x=180
=>3x=90
=>x=30
so, the angles are 30,60
Please help!
Suppose that the cross section of a piece of pipe looks like the diagram shown. Find the total outer diameter.
Answer:
-8
Step-by-step explanation:
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
A ∪ (B ∩ C) =
Answer:
Answer is (1,3,5,6,7,9)
14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.
Answer:
b = 2S/n - a.
Step-by-step explanation:
S=n/2(a + b)
a + b = S / n/2
a + b = 2S/n
b = 2S/n - a.
If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].
What is an arithmetic sequence ?An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.
Here, a and b are the first and the last terms respectively and n is the number of terms.
Therefore, the sum of the arithmetic sequence is:
S = n/2(a + b)
⇒ 2S/n = (a + b)
⇒ b = (2S/n) - a
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2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)
Answer:
16x - 9
Step-by-step explanation:
2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis
= 6x² + 10x - 6x² + 6x - 9 ← collect like terms
= 16x - 9
Answer:
16X-9
Step-by-step explanation:
(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)
6x²+10x+6x²+6x +-9
combine like terms
6x² +10x +-6x² +6x+-9
(6x² +6x² )+(10x+6x)+(-9)
16x+-9
16x-9
2. Transversals and parallel lines are unique in that if you know one angle measure, you know them all. Use the picture below to tell the value for EACH angle if <1 = 102. *
3 points
Answer:
1:102
2:78
3:102
4:78
5:102
6:78
7:102
8:78
it a car is traveling at 60 miles an hour how long will it take to travel 1 mile
3-1/8a=1/4
Pleasseeee help
If you want to divide 4 by 2/5 you can multiply 4 by 5, then divide it by 2 or multiply it by 1/2.
Step-by-step explanation:
to divide by a fraction is the same as to multiply by the upside-down fraction.
in your example
4 / 2/5 = 4 × 5/2 = 20/2 = 10
by the way, also a whole number is a fraction.
4 = 4/1
so, fully formal, the whole operation above looks like
(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
AB = RS
AB = 2RS
ABC ~ RST
ABC = RST
m<BAC = m<SRT
m<BAC = 2m<SRT
The reflection transformation in the question is a rigid transformation,
therefore, the image and the preimage are congruent.
The statements that are true are;
AB = RS∠ABC ~ ∠RSTΔABC = ΔRSTm∠BAC = m∠SRTReasons:
The given parameter are;
Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST
Required:
To select the true statements
Solution:
A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.
Therefore;
AB = RS
BC = ST
AC = RT
Given that the image formed by a reflection is congruent to the preimage, we have;
ΔABC ≅ ΔRST
∠ABC ≅ ∠RST
m∠ABC = m∠RST by the definition of congruency
∠BCA ≅ ∠STR
m∠BCA = m∠STR by the definition of congruency
∠BAC ≅ ∠SRT
m∠BAC = m∠SRT by the definition of congruency
Therefore, the true statements are;
AB = RS; Image formed by rigid transformation∠ABC ~ ∠RST; Definition of similarityΔABC = ΔRST; By definition of congruencym∠BAC = m∠SRT; by the definition of congruencyLearn more here:
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Write an equation of the line that passes through (2,7) and (0, - 5).
What is 21,678 rounded to the nearest ten
Answer:
21,678 rounded to the nearest ten is 21,680
Id really appreciate if you could help me thx!
Answer:
-3/7
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{(2)-(5)}{(9)-(2)}[/tex] [tex]\frac{-3}{7}[/tex] [tex]-\frac{3}{7}[/tex]Therefore, the answer is -3/7.
Christina is paying back the $120 she borrowed from her parents. If she pays $15 per week, how long will it take her to pay the $120?
Answer:
8 weeks
Step-by-step explanation:
i just divided 120 and 15
Answer:
It's 8 weeks
Step-by-step explanation:
because you basically take 120/15= answer or amount due divided by amount payed per (time choice)= time taken
I hope this helped!
Multiple Choice Find the mean: 12, 8, 7, 10, 8, 8, 10
Answer:
The mean is 9
Step-by-step explanation:
To find the mean, all you do is add up all the numbers and then divide by how many numbers there are. In this case, adding all then numbers up gives you 63, and there are a total of 7 numbers. 63 divided by 7 =9
Brita has a monthly budget of x dollars. Every month, $1,425 is spent on her mortgage. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?
y=x−1,4253
y=1,425−x3
y=1,425+x3
y=x+1,4253
Answer:
y=1,425-×3
Step-by-step explanation:
the x has to be divided by the 1/3
help me
The fire department is setting off fireworks. They notice that the casings of the fireworks hit the ground 78 seconds after the firework was launched. The firework exploded at a maximum height of 760.5 meters.
Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)
The firework is an illustration of the equation of a parabola.
The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
The casings hit the ground after 78 seconds.
This means that, a point on the graph is:
[tex]\mathbf{(x,y) = (78,0)}[/tex]
The firework exploded at a maximum of 760.5.
This means that, the vertex is:
[tex]\mathbf{(h,k) = (39,760.5)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]
[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]
Subtract 760.5 from both sides
[tex]\mathbf{a(39)^2 =- 760.5}[/tex]
[tex]\mathbf{1521a =- 760.5}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]
[tex]\mathbf{a =- 0.5}[/tex]
Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]
See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].
From the graph:
The x and y intercepts are the points where the graph crosses the x and y axes. The vertex is the maximum point on the graphFrom the equation:
Set x to 0, to calculate the value of y for the y-interceptSet y to 0, to calculate the value of x for the x-intercept.The vertex is represented as: (h,k)Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)
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Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a bowl to rise. Then, Farid forms the dough into a loaf and puts it in a pan to rise for another 1 /2 of an hour. In all, the dough rises for 1 3 /4 hours.
Robin earned $4,320 in 9 weeks and worked 40 hours in each week. How much did he earn per hour?
you do 4320÷ 9= 108 and that's your answer right there
What is the value of x if OB is
an angle bisector of
Answer:
x = 8
Step-by-step explanation:
Hi there!
We're given that OB is the angle bisector of angle AOC.
An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.
We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.
Set up an equation:
[tex]8x=16x-64[/tex]
Combine like terms:
[tex]-8x=-64\\x=8[/tex]
Therefore, x = 8.
I hope this helps!
20 points!!
Evaluate.
−26.6/−1= __________
Answer:
26.6
Step-by-step explanation:
simplify -26.6 divided by -1 to 26.6
Answer:
26.6
Step-by-step explanation:
- 26.6 / - 1
- 26.6 = - 1 x 26.6
- 1 = - 1 x 1
- 26.6 / - 1
= ( - 1 x 26.6 ) / ( - 1 x 1 )
= ( - 1 / - 1 ) x ( 26.6 / 1 )
= 1 x 26.6
= 26.6
Joseph compared the graphs of two functions. The first function wasf(x)=−2x+6. The second function fits the values in the table: x 2 5 8 11 y 2 -4 -10 -16 What is the distance between the y-intercepts of the two functions?
Answer: No difference
Step-by-step explanation:
The function f(x)=-2x+6 will produce the very same points in the table.
x y y calculated
2 2 2
5 -4 -4
8 -10 -10
11 -16 -16
The points are all on the line y=-2x+6. They describe the same line, which will have the same intercept.
Simplify.
8V200 – 37162
Answer:
[tex]53 \sqrt{2} [/tex]
Step-by-step explanation:
[tex]8 \sqrt{200} - 3 \sqrt{162} [/tex]
[tex] = 80 \sqrt{2} - 27 \sqrt{2} [/tex]
[tex] = (80 - 27) \sqrt{2} [/tex]
[tex] = 53 \sqrt{2} [/tex]
CAN SOMEONE PLEASE HELP ME WITH THIS
Answer:
f= −x+3
7x
Step-by-step explanation:
fx = −1 3
x 7 x+ 7
-------------------------
x x
f= -x+3
7x
f= -x+3
7x
Answer:
A.
Step-by-step explanation:
f(x) = (3-x)/7
First we find x in terms of f(x:-.
7f(x) = 3 - x
x + 7f(x) = 3
x = 3 - 7f(x)
Now we replace x by f-1(x) and f(x) by x:
f-1(x) = 3 - 7x.
A bakery sells 4 lemon poppy muffins for every 3 bran muffins sold. Which table represents the relationship between lemon poppy and bran muffins in
Answer:
The Answer is B
Drag a statement or reason to each box to complete this proof.
Given: the measure of angle A C D equals 60 degrees. Prove: triangle A B C is an obtuse triangle. Art: A triangle A B C. Side B C of the triangle is extended as a ray through point D.
--
check images below!
Answer: 2. Linear pair postulate
4. 60 + mACB=180
5. mACB=120
6. definition of obtuse angle
The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given triangle ABC with extended line CD.
Since CD is colinear with BC, therefore, BCD will be a single straight-line segment.
The ∠BCD is straight angle so it will be 180°.
∠BCD = ∠ACB + ∠ACD
∠ACB + 60 = 180
∠ACB = 180 - 60 = 120°.
An obtuse triangle is a triangle whose one or more interior angle is greater than 90°.
Since∠ACB > 90° therefore triangle ABC is an obtuse angle.
Hence "The value of straight angle ∠BCD = 180° thus the angle ∠ACB = 180°- 60° = 120° therefore, the given triangle ABC is the obtuse triangle".
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Solve the system of equations by the substitution method.
x−2y=−4 x+8y=16
Answer:
x=0, y=2
Step-by-step explanation:
x-2y=-4
-x+8y=16
-10y=-20
y=2
x-2y=-4
x-2(2)=-4
x-4=-4
x=-4+4
x=0
The next model of a sports car will cost 4.1%, more than the current model. The current model costs $58,000 How much will the price increase in dollars? What
will be the price of the next model?
Answer:
$60378
Step-by-step explanation:
$58,000 represents 100% of the original cost
100 + 4.1= 104.1% = 104.1/100 = 1.041
Multiplying by 1.041 gives the cost after the increase
price = 53000 x 1.041 = $60378
please help me with math
Answer:
Hope this helps
Step-by-step explanation:
The sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation
Answer:
3x = 33 in
Step-by-step explanation:
Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds
Answer: fixed rate mortgage
Step-by-step explanation:
Its correct
Fixed rate mortgage will be for Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds.
What is Fixed rate mortgage?A fixed rate mortgage is one in which the interest rate remains constant for the duration of the loan.
This means that the monthly payment amount remains constant, making budgeting and planning easier for borrowers.
Tanya should look for a mortgage with a low interest rate and a manageable monthly payment that fits into her budget.
A shorter loan term means a higher monthly payment but less overall interest paid over the life of the loan.
Tanya has worked out a budget that allows her to pay her mortgage while also saving for her three young children's college funds.
Thus, the answer is Fixed rate mortgage.
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Your question seems incomplete, the probable complete question is:
Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds Which Mortgage is Right?