Answer:
Yes, the triangles are similar by SAS
Step-by-step explanation:
Looking at the picture, we see that there are two triangles with side lengths of different sides. We can deduce that the scale factor is 1 2/3, because 8 divided by 4.8 is 1 2/3, and 10 divided by 6 is the same. Now that we have clarified that the triangles share the same scale factor, we notice that the angle is also the same, as mentioned in the picture. This leads us to say that the triangles are similar by the SAS similarity theorem (Side, Angle, Side). I hope this helped and please don't hesitate to reach out with more questions!
please help in indices
[tex] \frac{ {5}^{m + 2} - {5}^{m} }{ {5}^{m + 1} + {5}^{m} } \\ \\ \frac{ {4}^{m} + {4}^{m + 1} }{ {4}^{m + 2} - {4}^{m} } [/tex]
Step-by-step explanation:
Hey there!
Please see your required answer in picture.
Hope it helps!
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is 20 units, write a pair of linear equations to model the above situation, assuming the length to be l units and the breadth to be b units.
Answer:
L=7 units and B=3 units
Step-by-step explanation:
L=B+4 ... Equation 1
P = 20
P=2(B+L)... Equation 2
20=2(B+B+4)... Substituting equation 1 to equation 2
20=2(2B+4)
20=4B+8
20-8=4B
12=4B
12/4=4B/4
B=3... Solve for B
L=B+4
L=3+4
L=7... Solve for L
anyone help me. ....
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
All the exponents inside the parenthesis are multiplied by the exponent outside the parenthesis.
Then
[tex]\frac{m^{-7}n^{14} }{m^{-25}n^{40} }[/tex] ÷ [tex]\frac{m^{-21}n^{42} }{m^{-25}n^{40} }[/tex]
[ Using the rule [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] ]
= [tex]m^{(-7-14)}[/tex] [tex]n^{(14-(-28)}[/tex] ÷ [tex]m^{(-15-10)}[/tex] [tex]n^{(25-(-15)}[/tex]
= [tex]m^{-21}[/tex] [tex]n^{14+28}[/tex] ÷ [tex]m^{-25}[/tex] [tex]n^{25+15}[/tex]
= [tex]\frac{m^{-21}n^{42} }{m^{-25}n^{40} }[/tex]
= [tex]m^{(-21-(-25))}[/tex] [tex]n^{(42-40)}[/tex]
= [tex]m^{(-21+25)}[/tex] n²
= [tex]m^{4}[/tex] n² = [tex]m^{x}[/tex] [tex]n^{y}[/tex] , so x = 4 and y = 2
Then
[tex]m^{x-2y}[/tex] = [tex]m^{4-2(2)}[/tex] = [tex]m^{4-4}[/tex] = [tex]m^{0}[/tex] = 1 ← as required
A special blend of wild birds because 16.99 for 20 pounds to the nearest penny how much will 50 pounds cost
Answer:
42.475; approximately (42.48)
Step-by-step explanation:
So, first you would need to divide 16.99 by the 20 pounds and then multiply that by the 50 pounds which should give you your total answer. it should look like this:
16.99 divided by 20= 0.8495
0.8495 times 50= 42.475; approximately (42.48)
Hope this helps you out!!! :)
Mohamad bought a remote control car and paid $70.20. The price before tax was $65.00. What percent sales tax did he pay?
Answer:
Mohamad payed 8% of sales tax.
Step-by-step explanation:
First, we need to find the additional amount he paid to find the tax percentage.
70.20 - 65.00 = $5.20
Now, we divided that answer by the original price to find the actual percentage.
5.20/65.00 = 0.08 = 8%
Pls help hella lost
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?
Simplify 25/81 ……………
Answer:
25/81 is already in the simplest form. It can be written as 0.308642 in decimal form (rounded to 6 decimal places).
Please help me with this anyone
Answer:
Step-by-step explanation:
Begin by combining like terms and then factoring. Combining like terms will give you
[tex]10p^2-17p-20=0[/tex] Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.
a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:
1. 200; 2, 100; 4. 50; 5, 40; 8, 25; 10, 20
The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:
[tex]10p^2-25p+8p-20=0[/tex] and then factor by grouping:
[tex](10p^2-25p)+(8p-20)=0[/tex] and factor out from each set of parenthesis what is common:
[tex]5p(2p-5)+4(2p-5)=0[/tex] again factor out what is common:
(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are
2p - 5 = 0 so
2p = 5 and
p = 5/2 and
5p + 4 = 0 and
5p = -4 so
p = -4/5
2. What is the sum of iº + kº?
Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42
Answer:
The answer for this question is A
What is the greatest common factor of 30, 45, and 90?
Answer:
15
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
Enter a recursive rule for the geometric sequence?
4, -16, 64, -256,...
a^1 = __; a^n = __
Plzz help!
Answer:
Step-by-step explanation:
a^1=-2
a^n=a×a^n-1
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
option A
Step-by-step explanation:
Note:when there is an open circle, that means Less than or equal to.
if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to
write as a sentence in words 7.8 > 3.4
Answer:
seven and eight tenths is greater than three and four tenths
Hope it helped you6y−3=57 what does y equal
Answer:
y = 10
Step-by-step explanation:
6y−3=57
6y = 60
y = 10
Will Mark Brainlest Helppp please
Answer:
1
Step-by-step explanation:
a pair of coordinates defines a first number x, and as second number y (or the functional result).
so, we need to find the value of x that leads to 2 as functional result.
2 = x² + 1
1 = x²
x = 1
SHORT ANSWER
Question 3
This expression has three restrictions. What are they?
(3x^2-3x/x-2)/(2x-10/x-4)
Answer in a complete sentence.
Answer:
The restrictions are x≠2,4,5
Step-by-step explanation:
First the denominators cannot be zero
x-2 ≠0 so x≠2
Then x-4 ≠0 so x≠4
Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero
2x-10≠0
2x≠10
x≠5
The restrictions are x≠2,4,5
how many weeks are there in 504 hours
Answer:
26297.4 weeks
Step-by-step explanation:
hope it will help u
please mark me brillient
can somebody please help meee??
Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)
9) Assume that the random variable X is normally distributed, with mean = 90 and standard deviation o = 12. Compute the probability P(57 < X < 105).
A) 0.7888 B) 0.8944 C) 0.8914 D) 0.8819
Answer:
Step-by-step explanation:
The mean, [tex]\bar{x}[/tex], is 90 and the standard deviation, [tex]\sigma[/tex], is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
[tex]P(\frac{57-\bar{x}}{\sigma}\leq z\leq \frac{105-\bar{x}}{\sigma})[/tex] and we fill in accordingly:
[tex]P(\frac{57-90}{12}\leq z\leq \frac{105-90}{12})[/tex] which simplifies to
[tex]P(-2.75\leq z\leq 1.25)[/tex] and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914
Which is the best estimate of -14 1/9 (-2 9/10)
Answer:
Step-by-step explanation:
-14 1/9 is close to - 14
-2 and 9/10 is close to - 3
The best estimate would be 42 (14 * 3)
Estimate means you put your calculator on the kitchen counter until you've done this question.
Let's see what the actual answer is. 40.92222 which is close to 41.
42 is a pretty good estimate.
Explain the process due to which rain falls ? Class 4 - EVS
Answer:
As you may already know, water drops that fall from the cloud are considered "rain".
The Sun's heat turns the moisture or water from leaves, plants, rivers, lakes, and oceans - and turns it into gas or also called, vapor. This water vapor then turns into gas and disappears into the air. When it gets mixed with the air, it cools down. When it cools down, it changes into small water drops, which then form a cloud. These small water drops join together with other water drops to create larger and bigger water drops.
You may know this now because this is the easiest part. What happens when something gets heavy or is over-filled? It falls down, right?
So, the large drops from water fall down as they get too heavy for the cloud to carry. These big droplets falling down on us are called Rain.
532 - 308 is the same as blank - 300
Answer:
524
Step-by-step explanation:
First find the number we want to find
532 - 308 = 224
Set blank -300 equal to the number
blank - 300 = 224
Add 300 to each side
blank -300+300 = 224+300
blank = 524
Please help out explanation need it will
Answer:
A=2(wl+hl+hw)
A=2(6ft×7ft+6ft×7ft+6ft×6ft)
A=2(42ft²+42ft²+36ft²)
A=2(120ft²)
A=240ft²
Step-by-step explanation:
6 less than twice a number
Answer:
6-2x
Step-by-step explanation:
six less than (subtraction) twice a number. 2 times a number x
Pls help me I will mark your answer as brainliest!
Answer:
9
Step-by-step explanation:
if we divide it my 9 we will get 927,998.666667
Answer: greatest number which should be replace m= 8
Except number 9, ; 2,5.and 8 can replace m so that the number 5567m92 is divisible by 6( Here greatest among all is 8 so 8 is your answer)
Step-by-step explanation:
5567292 is divisible by 6.
5567592 is divisible by 6.
5567892 is divisible by 6.
Plz solve question 12
Answer: C
Step-by-step explanation:
To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.
[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]
Let's add the equations together. This way, 3f+(-3f)=0
[tex]-4k=24[/tex] [divide both sides by -4]
[tex]k=-6[/tex]
Now that we know k, we can plug it into either equation to find f.
[tex]3f-2(-6)=10[/tex] [multiply]
[tex]3f+12=10[/tex] [subtract both sides by 12]
[tex]3f=-2[/tex] [divide both sides by 3]
[tex]f=-\frac{2}{3}[/tex]
Now that we have f and k, we know that C is the correct answer.
PLS HELP!!
what is the value of x?
log2(x+7) = 2
Answer: Choice A) -3
Work Shown:
[tex]\log_{2}(x+7) = 2\\\\x+7 = 2^2\\\\x+7 = 4\\\\x = 4-7\\\\x = -3\\\\[/tex]
Which leads us to choice A. In the second step, I used the rule that [tex]\log_b(y) = x[/tex] is equivalent to [tex]y = b^x[/tex]. For each equation, the b is the base. Note how logs undo exponents and vice versa.
Answer:
-3
Step-by-step explanation:
log2(x+7) = 2
Raise each side by base 2
2^log2(x+7) = 2^2
x+7 = 4
Subtract 7 from each side
x+7-7 = 4-7
x=-3