The value of the missing length is 20
Let the missing length be x
From Parallel lines and transversal theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Then, we can write that
[tex]\frac{x}{15} =\frac{16}{12}[/tex]
∴ [tex]x = \frac{15\times 16}{12}[/tex]
x = 20
Hence, the value of the missing length is 20
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HELP ME ASAP
Name the property below
9(x-5) = 9x -45
A. distributive
B. commutative
Answer:
A. distributive
Step-by-step explanation:
You would multiply the 9 with the x to get 9x, and then you would multiply the 9 with the negative -5 to get 9x-45.
Which property is illustrated by the equation?
(2x + 1) + 3y = 2x + (1 + 3y)
Answers: Commutative Property of Addition, Identity Property of Addition, Associative Property of Addition, or Distributive Property of Addition.
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)
Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)
Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)
Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)
Researching the 21st century in UAE
i was doing this task in math and I came across this:
x-12x=0.88x
.
can someone plz explain why is this equal to this?
I understand it's simplified, but how?
Answer:
mx+b+a= x-12x=0.88x
Step-by-step explanation:
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answer:
$28
20 plus 40 percent
that's the answer
simply the problem pls answer quick
[tex]\\ \sf\Rrightarrow 1\dfrac{2}{5}m-\dfrac{3}{5}(\dfrac{2}{3}m+1)[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{7}{5}m-\dfrac{3}{5}(\dfrac{2m+3}{3})[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{7m}{5}-\dfrac{6m+9}{15}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{21m-6m-9}{15}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{15m-9}{15}[/tex]
[tex]\\ \sf\Rrightarrow m-\dfrac{3}{5}[/tex]
The simplified form of the expression is m - 3/5
Given the expression 1 2/5 m - 3/5 (2/5m + 1)
We need to simplify the term. Expand the bracket to have:
1 2/5 m - 3/5 (2/3m + 1)
1 2/5 m -2/5 m - 3/5
7/5 m - 2/5 m - 3/5
(7m-2m)/5 - 3/5
5m/5 - 3/5
m - 3/5
Hence the simplified form of the expression is m - 3/5
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A game uses 4 -sided die. Use the Fundamental Counting Principle to find the number of possible outcomes from rolling a single 4-sided die twice.
Answer: 1 in 8
Step-by-step explanation:
3 to the power of -2 as a fraction
From the power rules, the power [tex]3^{-2}[/tex] is equal to the fraction [tex](\frac{1}{3})^{-2}[/tex].
Power RulesThere are different power rules one of them is the negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent. See the examples:
[tex]5^{-3}=(\frac{1}{5})^3=\frac{1}{125} \\ \\ \\ {\frac{4}{6} }^{-2}={\frac{6}{4} }^2=\frac{36}{16}[/tex]
Then, the question gives:
[tex]3^{-2}=({\frac{1}{3}})^2[/tex]
Read more about power rules here:
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Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]
[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]
[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]
Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please
Answer:
15 marker's
Step-by-step explanation:
37+24=61
61÷4=15.25
because she wants an even number of makers the answer is 15.
At the start of summer break, Jada decided to save some of the money she earned helping out her
neighbors to use during the school year. Jade starts by putting $20 into a savings jar in her room
and plans to save $10 a week.
a.
What is the total amount Jada will have saved after 1 week?
Answer:
$90
Step-by-step explanation:
1 week=7 days
(7*10)+20=90
Multiply: x^1/6(x^1/6+x^3/4)
[tex]x^{\tfrac 16} \left(x^{\tfrac 16} + x^{\tfrac 34} \right)\\\\\\=x^{\tfrac 16} \cdot x^{\tfrac 16} + x^{\tfrac 16} \cdot x^{\tfrac 34}\\\\\\=x^{\left(\tfrac 16 + \tfrac 16\right)} + x^{\left(\tfrac 16 +\tfrac 34\right)}\\\\\\=x^{\tfrac 26} + x^{\tfrac {11}{12}}\\\\\\=x^{\tfrac 13} +x^{\tfrac{11}{12}}[/tex]
The diagram below shows triangle ABC NCDE angle B AC in angle DCA or right angle species congruent to a D proof triangle ABC is congruent to triangle CDA which roles are incorrect and explain
A. AC≅AC, Reflexive Property of Congruence
Correct. This is shared side of the triangles ABC and CDA
B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem
Correct. BC and AD are parallel and AC is transversal
C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem
Correct. AB and DC are parallel and AC is transversal
D. △ABC≅△CDA, SAS Triangle Congruence Theorem
Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.
Answer:
The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct
Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.
Last one is correct, it's SSA
I need helpnwith this problem.
please help me! i will go ahead and give brainliest!
Answer:
[tex]6w - 60[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]6(w - 10)[/tex]
[tex](6*w) + (6*(-10))[/tex]
[tex]6w + (-60)[/tex]
[tex]6w - 60[/tex]
Answer: [tex]6w - 60[/tex]
Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks
Answer:
30w+200=1000
Step-by-step explanation:
The population of a city has increased by 15% since it was last measured if the current population is 43700 what was the previous population?
Answer:
37,145
Step-by-step explanation:
43,700×15%= 6,555
43,700-6,555= 37,145
the previous population was 37,145
What is the end behavior of the function f(x)=−3/4x^2?
Answer:
[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]
Step-by-step explanation:
We can see that the larger the input, the smaller the output
pls can u help me with this question
Answer:
yes less than a min
Step-by-step explanation:
y=x-5 find the four points in the inverse
help with this please
Answer:
8
Step-by-step explanation:
we conformed the 8s by 4 and 3
math problem need help give 5 stars and good rating if do
Answer:
The answer is A, 20%.
Step-by-step explanation:
If you find 30 out of 150, it is 20%. A simple way to do it is add 30 up until you get 150. So in this case it is 5 times. Then you do 100% divided by 5 which is 20%. Hope this helps!
The sum of two numbers is 20. The greater number is 4 more than three times the smaller number.
Answer:
And x=12 are the two numbers.
Step-by-step explanation:
x+y=20-----(1)
Let x be the larger number of the two.
x=2y-4
Hence 4=2y-x------(2)
Adding (1) and (2) we get 3y=24 so y=8
And x=12 are the two numbers.
6(2u) what is the answer
12u
there's no step by step
are the fractions 4/5 and 8/12 equality
Answer:
NO because 5 doesn't have any factors of 12 but only 4 has a factor of 8. So 4/5 would be greater but no they would not be equal
Step-by-step explanation:
5. What is the correct expanded form for the number 84.76?
80 + 4 + 0.07 + 0.006
80 + 4 + 0.7 + 0.06
0 +
800 + 40 + 0.7 + 0.06
O 80 + 4 + 0.7 + 0.6
4
Answer:
80+4+0.7+0.06
There is no step by step.
I need help with this please hurry it's timed
Answer:
c 5.34
Step-by-step explanation:
If angle CAB= x+40, angle ACB=3x+10, angle CBD= 6x, what is angle CAB
NO NEED FOR LINKS NEED THE ANSWER RIGHT NOW
Answer:
a. y= 16+ 7x
b. y=19+9x
c. y= 10+5x
Step-by-step explanation:
a.) adds 7 each time
b.) adds 9 eah time
c.) adds 5 each time
Answer:
hope it helps you......
How to solve this problem
Answer:
Step-by-step explanation: