Answers
Answer: 24
Step-by-step explanation:
R= 3
You can find this using simple algebra
The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have a triangle shown in the picture.
It is required to find the measure of the RA
To find the measure of the RA we can apply the concept of congruent triangle:
In the triangle LRU and triangle LAU
LU = LU (common side)
LR = LA (equal sides)
Angle RLU = Angle ALU (equal)
The triangles are congruent.
RU = UA
18 - 2r = 4r
6r = 18
r = 18/6 = 3
The measure of the RA = 18 - 2r + 4r = 18 + 2r
The measure of the RA = 18 + 2(3) = 18+6 = 24 units
Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.
Learn more about the congruent triangle here:
brainly.com/question/12413243
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Related Questions
PLEASE HELP ASAP I WILL REWARD BRAINLIEST one unit up, one unit down, one unit left, one unit right,
Answers
Answer:
y=x+2
Step-by-step explanation:
Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2
Answer:
see below
Step-by-step explanation:
will make it simple.
1 unit up : y = |x+2| + 1
1 unit down : y = |x+2| - 1
1 unit to the left : y = |x + 3|
1 unit to the right : y = |x+1|
hope it helps. if its wrong, then please report it wo we can delete of correct it.
9.
The Sir Walter Scott Mental Health Center has a budget of $20.000 for recruiting costs
the position of Facility Director. The Center has spent $5,300 on advertising expenses and
$3,500 on interviewing expenses. They are willing to pay 5.5% commission on selling the
selected individual's home. What is the maximum selling price that the Sir Walter Scott
Mental Health Center would pay 5.5% commission on in order to stay at or below the
$20,000 in total recruiting costs?
Answers
Answer:
Hey there!
5300+3500=8800
20000-8800=11200
1.055x=11200
x can be at most 10616 dollars.
Hope this helps :)
what number would you subtract from each side of inquality to solve y+3/8>16
Answers
Explanation:
y + 3/8 > 16
y > 16 - 3/8 (subtract 3/8 from both side)
y > 128/8 - 3/8
y > 125/8
Answer:
[tex]y > 125[/tex]
Step-by-step explanation:
[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]
[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]
[tex]y > 128 - 3[/tex]
[tex]y > 125[/tex]
Which of the following inequalities is correct?
Answers
Answer:
b
Step-by-step explanation:
The first one is not. Think money. Would you rather be 1 dollar in the hole or 6 dollars in the hole? b = - 1. It is larger than - 6.
The third one is not correct either. -c = - 5
- b = 1
1 is larger than -5
The answer is the middle one
-b becomes 1 which is greater than 0.
Please show ALL work!!!!
Answers
Answer:
[tex]$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $[/tex]
Step-by-step explanation:
[tex]\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y[/tex]
We have logarithms in base 2 and 9. Let's rewrite it:
[tex]\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x[/tex]
Remember that:
[tex]\boxed{p\log _bc=\log _b c^p}[/tex]
[tex]\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}[/tex]
Remember the Product Rule:
[tex]\boxed{\log_b(xy)=\log_bx + \log_by}[/tex]
[tex]\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})[/tex]
Finally, remember the Quotient Rule:
[tex]$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$[/tex]
[tex]$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$[/tex]
I only know how to get the answer but not explain
What is the name of a number that can be written in the form a+bi where a and b are nonzero real numbers?
Answers
help me plz I really need this thanks I will give a lot of points
Answers
Answer:
see the picture below
Step-by-step explanation:
There is 19, 13, 8, 4, 7, 14, 7, 9.
There is 1 number between 0 and 5.
and there's 4 on between 6 to 10.
and so far.
Step-by-step explanation:
Taller bars show that more data falls in that range.
19, 13, 8, 4, 7, 14, 7, 9 stay in order = 1,2,3,4,5,6,7,8
Add 2 more months to make 8 months
Then go vertical if using this histogram so that numbers of feathers above are vertical shaped bars. |--------------| stacked on top of each other.
Or///
Copy the diagram and swap the names ie) months so they go at the bottom and feathers go along the side axis.
Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1 four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?
Answers
Answer:
[tex]\boxed{\sf 18\ problems = 22\ minutes}[/tex]
Step-by-step explanation:
Yan has finished = [tex]\frac{3}{5} of \ 45 \ maths \ problems[/tex]
Yan has finished = [tex]\frac{3}{5} * 45[/tex]
=> 3 * 9
=> 27 problems
Yan has problem left:
=> 45 - 27
=> 18 problems
1 problem = [tex]1 \frac{4}{5}[/tex] of a minute
1 problem = 1.2 minutes
18 problems = 1.2 * 18
18 problems = 21.6 minutes
18 problems ≈ 22 minutes
Answer:
[tex]\boxed{\sf 32 \ minutes}[/tex]
Step-by-step explanation:
Yan finished 3/5 of 45 math problems.
[tex]\frac{3}{5} \times 45=27[/tex]
Yan finished 27 math problems.
[tex]\sf 1\frac{4}{5} \ of \ a \ minute= 108 \ seconds=1.8 \ minutes[/tex]
Yan has [tex]45-27=18[/tex] problems left.
1 problem = 1.8 minutes
18 problems = [tex]1.8* 18=32.4[/tex] minutes
32.4 minutes to nearest minute will be 32 minutes.
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answers
Answer:
errror
Step-by-step explanation:
What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.
Answers
Answer:
[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]x^4-5x^2-14=0[/tex]
Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:
[tex]u=x^2[/tex]
Then by substitution:
[tex]u^2-5x-14=0[/tex]
Now we can solve normally. Factor:
[tex](u-7)(u+2)=0[/tex]
Zero Product Property:
[tex]u=7\text{ or } u=-2[/tex]
Back-substitute:
[tex]x^2=7\text{ and } x^2=-2[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:
[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]
Therefore, our solutions are:
[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]
Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.
Answers
Answer:
Since it's a 30-60-90 triangle, the hypotenuse should be
6 √ 3
and the short leg is
3 √ 3
Step-by-step explanation:
Ratio:
Short side: 1
Hypotenuse: 2
Long Side: √ 3
Find the slope of each line. Then tell what the slope represents.
Answers
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
Answer:
5. Slope = 8.5
6. Slope = -12
7. Slope = 1
Step-by-step explanation:
Slope = y/x - y1/x1
5. => 68/8 - 25.5/3
=> 68 - 25.5 / 8 - 3
=> 42.5 / 5
=> Slope = 8.5
6. => 76/2 - 40/5
=> 76 - 40 / 2 - 5
=> 36 / -3
=> Slope = -12
7. => 4/5.5 - (-1/.5)
=> 4 - (-1) / 5.5 - .5
=> 4 + 1 / 5.5 - .5
=> 5 / 5
=> Slope = 1
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms?
Answers
Answer:
The net charge on the four atoms is 12
Step-by-step explanation:
The given parameters are;
The charge of each electron = -1
The charge of each proton = + 1
The charge of each neutron = neutral
Therefore, if 3 electrons are removed from each of the three atoms, we have;
The quantity of net negative charge removed from the four atoms = 3 × -1 × 4 = -12
Given that the at the four atoms add equal number of protons and electrons, we have;
Original charge on the four atoms = n×(-1) + n×(+1) = 0
Therefore;
The net charge on the four atoms after removal of the 12 electrons = Original charge - (-12)
The net charge on the four atoms = 0 - (-12) = +12
The net charge on the four atoms = +12.
Translate the following into an algebraic expression: a The number that is 40% more than five more than a number a.
Answers
Answer:
x = a + 8
Step-by-step explanation:
x = The number that is 40% more than five more than a number a.
x = 40% more than 5 (plus a)
5 * 0.6 = 3
5+3 = 8
x = a + 8
a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow
Answers
The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.
Answer :
The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.
How is 200,000 + 7,000 +500 + 3 written in standard form?
Answers
Answer:
207,503
Step-by-step explanation:
you just have to add the 4 numbers so you get 207,503
━━━━━━━☆☆━━━━━━━
▹ Answer
207,503
▹ Step-by-Step Explanation
200,000 + 7,000 + 500 + 3
= 207,503
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Please someone help me...
Answers
use [tex] a^2-b^2=(a+b)(a-b)[/tex]
to get [tex] (\cos^3A-\sin^3A)(\cos^3A+\sin^3A)[/tex]
then use [tex] a^3+b^3=(a+b)(a^2+b^2-ab)[/tex]
and [tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]
also, [tex] \sin^2\theta+\cos^2\theta=1[/tex]
to get [tex](\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)[/tex]
then again use the first identity In both pairs, i.e.
[tex](\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)[/tex]
to get [tex] \cos 2A (1-\sin^2A\cos^2A)[/tex]
multiply and divide by 4 to get the RHS.
because, [tex] \sin(2A)= 2\sin A \cos A[/tex]
squaring both sides, [tex] \sin^2 (2A)=4\sin^2A\cos^2A[/tex]
Answer:
they take the same form
Step-by-step explanation:
factor (1 - 1/4 sin ^2 (2A) ) (cos ^ 2 (A) -sin ^2(A))
= ( -sin 2A/ 2) + 1 ) (sin (2A)/ 2) -1
= - (-1 + ) (sin 2A/2) (1 +) (sin 2A/2) ( cos (A) + sin (A) (cos (A)- sin (A))
= (sin (2A) +sin 2) (sin (2A) -2)/4 = cos ^2(A) = (sin ^2(A)+cos (A) sin (A)) cos ^2(A) +s)
Help, two of these questions plz
Answers
Answer:
First Answer: y= 64 and x=64
Second Answer: 1&4, 2&3, 6&7, 5&8
Step-by-step explanation:
First Answer: 63 and ∠y is the same measure since there are
Second answer: They are vertical angles, each of the pairs of opposite angles made by two intersecting lines.
Hope this helps:)
2) Angles 2= 3 = 6=7
Angles 1= 4=5 = 8
can somewon plz help me
Answers
Answer:
1253 in^3
Step-by-step explanation:
The volume of the smaller container is (7 in)(5 in)(5 in) = 175 in^3.
The volume of the larger one is (11 in)(14 in)(7 in) = 1078 in^3
The total volume is the sum of these two volumes: 1253 in^3
Answer:
1253 in^3
Step-by-step explanation:
Volume of small one is 7*5*5 = 175
Volume of the large one is 11*14*7 = 1078
To find the total volume we add them up. We get 1253 and since we are talking about volume it is 1253 inches cubed
i need this quick!!! please hurry!! Solve the following proportion for X. X over 5 = 17 over 3 Round your answer to the nearest tenth.
Answers
Answer:
[tex]\huge\boxed{x = 28.3}[/tex]
Step-by-step explanation:
=> [tex]\frac{x}{5} = \frac{17}{3}[/tex]
Cross Multiplying
=> x * 3 = 5 * 17
=> 3x = 85
Dividing both sides by 3
=> x = 85/3
=> x = 28.3 (To nearest tenth)
Answer:
[tex]\Huge \boxed{x=28.3}[/tex]
Step-by-step explanation:
The proportion is given,
[tex]\displaystyle \frac{x}{5} =\frac{17}{3}[/tex]
We need the x variable isolated on one side, so we can find the value of x that makes the proportion true.
Multiply both sides of the equation by 5.
[tex]\displaystyle \frac{x}{5} \times (5)=\frac{17}{3} \times (5)[/tex]
Simplify the equation.
[tex]\displaystyle x=\frac{85}{3}[/tex]
[tex]x=28.33333333...[/tex]
The value of x that makes the proportion true is 28.3 (rounded to nearest tenth place).
PLEASE HELP! Will mark brainliest! Find the slope of the line:
Answers
Answer:
Step-by-step explanation:
I think 3-y slope
What property is used in the second step of solving the inequality below?
5 x minus 9 less-than 91
______Given_______
5 x less-than 100
__________________
x less-than 20
Multiplication Property
Identity Property
Addition Property
Multiplication Property
Transitive Property
Answers
Answer:
Addition property
Step-by-step explanation:
Given the inequality:
5x - 9 < 91
The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.
Thus,
5x - 9 + 9 < 91 + 9
5x < 100
The final step is to perform the division property by dividing both sides by 5, in order to solve for x.
5x/5 < 100/5
x < 20.
Hope
This helps
I NEED THE ANSWER ASAP
The number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.31 days. At what rate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of a smoker per year
Answers
Answer:
57.8
Step-by-step explanation:
We can set up a proportion for this, assuming x is the smokers lost in 365 days.
[tex]\frac{1}{6.31} = \frac{x}{365}[/tex]
Using the cross products property, we know that x will be equal to:
[tex](365\cdot1) \div 6.31\\365\div6.31\\\\\approx 57.8[/tex]
Hope this helped!
The formula for the area of a circle is A= ar?m where A is the area and r is the radius. The subject of
the formula is A. Rearrange the formula to make r the subject.
Answers
Hi there! :)
Answer:
[tex]\sqrt{\frac{A}{\pi } } = r[/tex]
Step-by-step explanation:
Formula for the area of a circle:
[tex]A = \pi r^{2}[/tex]
Rearrange the equation in terms of "r":
Divide 'π' from both sides:
[tex]\frac{A}{\pi } = r^{2}[/tex]
Take the square root of both sides:
[tex]\sqrt{\frac{A}{\pi } } = r[/tex]
Answer:
[tex]r = \sqrt{ \frac{A}{ \pi}}[/tex]
Step-by-step explanation:
[tex]A =\pi r^2 \\Divide\: both \:sides\:of\:the\:equation \\\frac{A}{ \pi} =\frac{ \pi r^2}{ \pi} \\r^2 = \frac{A}{ \pi} \\\sqrt{r^2} =\sqrt{ \frac{A}{ \pi}} \\\\r = \sqrt{ \frac{A}{ \pi}}[/tex]
Solve for v. 3v + 5v = 72 please simplify as much as possible! v = _ ?
Answers
Answer:
v is 9
Step-by-step explanation:
it is 9 because if you simplify it is 8v=72 or 9
Answer:
v = 9
Step-by-step explanation:
3v + 5v = 72
combine like terms
8v = 72
Divide by 8
8v/8 = 72/8
v =9
Find the distance between (4.9) and (5, 12)
Answers
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{(x_{2} - x_{1}) ^ {2} + (y_{2} - y_{1}) ^ {2}}[/tex]
[tex]\sqrt{(5-4) ^ {2} + (12 - 9) ^ {2}} = \sqrt{1^{2}+3^{2}} = \sqrt{10}[/tex]
The perimeter of the rectangle below is 114 units. Find the length of side PQ.
Write your answer without variables.
Answers
Answer:
36.
Step-by-step explanation:
The perimeter = 2 * length + 2 * width, so we have:
2(2x - 1) + 2(3x + 3) = 114
4x + 6x - 2 + 6 = 114
10x = 114+ 2 - 6 = 110
x = 11.
So the length = 3(11) + 3
= 36.
Eighty eighths in cups
Answers
if you have 88 tablespoons and you convert them into cups you would have 5.5 then you would convert that into a fraction which would be 5 1/2
Please Answer For Brainliest!!!
Answers
Answer:
C
Step-by-step explanation:
They want to find out altogether and the total number so add it up!
Answer: 72,132,204
Step-by-step explanation:
PLEASE HELP ME!! I WILL GIVE BRAINLIEST!!
Find the output, y, when the input, x, is -5.
Answers
Answer:
[tex]\boxed{y = -2}[/tex]
Step-by-step explanation:
Hey there!
To find y when x is -5 we go to -5 on the x-axis.
When at -5 find where the blue line is vertical to -5,
which is -2.
Hope this helps :)
y = - 2
