Answer:
(4a + b)/(2ab + b)Step-by-step explanation:
Givena = log9 2b = log5 4To findlog6 15 in terms of a and bSolutionRewrite the given
log9 2 = a ⇒ log2/log9 = a ⇒ 1/2*log2/log3 = a ⇒ log3 = 1/2*log2/alog5 4 = b ⇒ log4/log5 = b ⇒ log5 = 2*log2/bRewriting the log6 15:
log6 15 = log15/log6= (log 5 + log3)/(log2 + log3)Substitute as follows:
(log 5 + log3)/(log2 + log3) =(2*log2/b + 1/2*log2/a)/(log2 + 1/2*log2/a) =(2/b + 1/(2a))/(1 + 1/(2a)) =(4a + b)/2ab ÷ (2a + 1)/2a =(4a + b)/(2ab + b)Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Answer:
Yes, there is enough information to prove that the triangles are congruent.
SAS POSTULATE
Step-by-step explanation:
[tex] In\:\triangle ABC \: and \triangle XYZ\\[/tex]
[tex] AB\cong XY..... (given) \\[/tex]
[tex] \angle ABC \cong\angle XYZ\\(each \: 90\degree) \\[/tex]
[tex] BC\cong YZ..... (given) \\[/tex]
[tex] \therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate) [/tex]
Answer:
YesStep-by-step explanation:
Given
Two sides and and included angle of one triangle is congruent to same on another triangleThis is side-angle-side or SAS congruency postulate
Determine if the statement is true or false 10,000-99,999<0
Alexis needs to buy 300 sheets of paper. The office store sells construction paper in the following packages
which of the following is the least expensive way for alexis to buy 300 sheets of paper
GIVING BRAINLIEST
Answer: i think it is 45.2
Step-by-step explanation:
-6x+6y=6 -6x+3y=--12
Answer:
y = 6
x = 5
Step-by-step explanation:
-6x + 6y = 6
-6x + 3y = - 12
Multiply the second equation by -1, then add the equations;
-6x + 6y = 6
6x - 3y = 12
___________
3y = 18
/3 /3
y = 6
x = 5
Which of the following equation represents a horizontal line that passes through the point (1,-2) 1.x=1 2.y=-2 3.y=-2x+1 4.y=x-2
Answer:
(2)
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (1, - 2) with y- coordinate - 2, thus
y = - 2 ← is the equation of the line
through: (12,5), slope = 7/6
Answer:
Step-by-step explanation:
y - 5 = 7/6(x - 12)
y - 5 = 7/6x - 14
y = 7/6x - 9
In which order would the following numbers come from least to greatest?
3/4, 0.5, 2/3, -7/3, 1.2
Answer:
-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest
Step-by-step explanation:
-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2
(ii) factorize 9x^2 - y^2 + 4y - 4
Answer:
(3x - y + 2)(3x + y - 2).
Step-by-step explanation:
9x^2 - y^2 + 4y - 4
= 9x^2 - (y^2 - 4y + 4)
= 9x^2 - (y - 2)^2
= (3x - (y - 2))(3x + (y - 2)
= (3x - y + 2)(3x + y - 2).
..................Hot Cheetos...................
Answer:
I like lots of chips!
Step-by-step explanation:
Jennifer and Joshua meet for dinner at a restaurant. After dinner, Joshua drives 15 miles south while Jennifer drives 12 miles west. How far apart are they when they stop? Round to the nearest tenth of a mile if necessary.
Answer:
19.209 miles from each other.
Step-by-step explanation:
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
Using this we get:
[tex] {15}^{2} + {12}^{2} = {x}^{2} [/tex]
[tex]225 + 144 = 369 = {x}^{2} [/tex]
[tex] \sqrt{369 } = 19.209[/tex]
Right now do you believe in yourself why or why not ? (10 points)
Answer:
You should always believe in yourself no matter what. Make that be a lesson for everyone in your community!
Step-by-step explanation:
Answer:
personally, no. but if you are looking for an answer to be graded, say something positive. ¨i believe in myself right now because i have been (insert something positive). ¨
Step-by-step explanation:
i hope this has helped
I eat a third of a box of chocolates there are not 16 left how many were in the box at the start?
-6.2r - 4.6 -2.9r + 8.5
simplify the expression by combining like terms. PLZ HELP ASAP
Answer:
-9.1r + 3.9
Step-by-step explanation:
-6.2r - 4.6 -2.9r + 8.5
-6.2r and -2.9r are alike, so we combine.
-6.2r + -2.9r = -9.1r
-4.6 and 8.5 are alike, so we combine.
-4.6 + 8.5 = 3.9
f(x)=2x+6, g(x)=3x^2 find f(g(-3))
Step-by-step explanation:
Given
f(x) = 2x + 6
g(x) = 3x²
f(g(-3)) = ?
Now
g(-3) = 3 * (-3)²
= 3* 9
=27
Also,
f(g(-3)) = f(27)
= 2* 27 + 6
= 60
Hope it helps :)
the circle below is centered at the point 8.4 and has a radius of length 4 what is its equation
Answer:
16
Step-by-step explanation:
(x-8)^2 + (y-4)^2= 16
Please Help answer has much as you can
The linear graph below represents the relationship between age (t), and height (h) of a toddler.
Write the linear function in slope intercept form h(t) that expresses the height as a function of age.
Answer:
h(t)=3/2t+59
h(t)=2/3(15)+64 h(t)=2/3(30)+64
74= 10+64 84=20+64
74=74 84=84
Find the inverse of the Function
[tex]f(x)=\sqrt[3]{\frac{x}{9} } -4[/tex]
9514 1404 393
Answer:
D
Step-by-step explanation:
Solve x = f(y) for y.
x = ∛(y/9) -4
x +4 = ∛(y/9) . . . . . add 4
(x +4)³ = y/9 .. . . . . cube
9(x +4)³ = y . . . . . . multiply by 9
The inverse function is ...
f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice
82.50 +46.63 i need help
How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1
Answer:
8 X 10^(9)
Step-by-step explanation:
Originally we have 10 digit phone numbers excluding the area code.
For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)
But if we exclude 1 and 0 for the first digit, we are left with 8 digits.
8P1 X .......
In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.
8P1 X 10P1 X 10P1 X...
Adding the area code while assuming 10P1 is just 10...we get:
1 X 1 X 1 X 8 X 10^(9)
= 8000000000
Very interesting question, thanks for the opportunity!
The number of different phone numbers in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]
Calculation of the number of different phone numbers:Since
we have 10 digit phone numbers that does not include the area code.
So,
For each face value we have these in store:
0,1,2,3,4,5,6,7,8,9 (total 10)
Now
if we exclude 1 and 0 for the first digit, So it left with 8 digits.
So, it be like
8P1 X .......
Likewise
8P1 X 10P1 X 10P1 X...
Now if add this,
1 X 1 X 1 X 8 X 10^(9)
= 8000000000
hence, The number of different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]
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Two angles of a triangle measure 55° and 20° What is the measure of the third angle of the triangle?
Please help me fast
You don’t need to explain just send the answer
Answer:
70.5 it is the answer. I hope I am helpful please mark brainlist
help asap please no trolls !!!
9514 1404 393
Answer:
SAS
Step-by-step explanation:
Count the number of sides marked congruent. One is marked with a single hash mark, and one is marked with a double hash mark, for a total of two.
That means the chosen congruence theorem will have S appear twice in its name, excluding AAS, ASA, and SSS.
We also note that the angles between the marked sides are vertical angles, hence congruent. The theorem that depends on two sides (SS) and the angle between them (_A_) is the SAS theorem.
don't exactly understand how to solve this equation
2x + 4
1
The shape in the figure is a square. Use the properties of a square to determine the
value of x.
OA) x = 0
OB) x = 4
OC) x= 2
D) Can't be determined.
Answer: x = 0
because the shape is a square
=> 2x + 4 = 4
⇔ 2x = 0
⇔ x = 0
Step-by-step explanation:
Lin’s family has completed 80% of a trip. They have traveled 400 miles. How far is the trip?
50miles
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
80% is converted to its decimal form 0.8
Multiply 0.8 times "x" which is the unknown total distance of the trip (80% of the total trip) to get 400 because 80% of the trip is 400 miles. Then find x
0.8x = 400
400/0.8 = x
500 = x
(5a+15b) e divizibil cu 5
va rogg e urgent
Answer:
[tex]a + 3b[/tex]Step-by-step explanation:
[tex] \frac{5a + 15b}{5 } [/tex]
[tex] \frac{5a}{5} + \frac{15b}{5} [/tex]
[tex]a + 3b[/tex]
In the figure, ABCD
Answer:
<AEB and <CED are congruent by vertical angles theorem.
Step-by-step explanation:
Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.
Thus, the answer would be:
<AEB and <CED are congruent by vertical angles theorem.
Which of the following of appropriate units of measure to use when finding the mass of a pencil?
a. kilograms
b. meters
c. Grams
d. centimeter
Answer:
Grams
Step-by-step explanation:
Mass is the amount of matter present inside a solid. Kilograms and grams are the units to measure mass of an object.
For pencil, the unit to measure its mass is grams. As its mass is less, we can use smaller unit.
Hence, the correct option is (c) "grams"
It’s estimated that 800 people would attend the play, but 752 people actually attend.
What is the percent error, to the nearest percent, of the estimate? Enter the answer in the box.
*has blank box* percent error
Answer:
6
Step-by-step explanation:
752/800=0.94
0.94x100=94
100-94=6
The percent error, to the nearest percent, of the estimate is 6%
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
Given:
Expected value = 800
Actual value = 752
Now, Percent error
Computation;
Percent error = [(Actual value - Expected value)/Expected value]100
= [(800 -752) / 800]100
= 6%
Therefore, the percentage error will be 6%
Learn more about percent here:
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