Answers
Answer:
D
Step-by-step explanation:
Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is
[tex]\frac{EF}{BC}[/tex] = [tex]\frac{DE}{AB}[/tex] , substitute values
[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{30}[/tex] ( cross- multiply )
30x = 5 × 42 = 210 ( divide both sides by 30 )
x = 7
The ratio remains same
[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}[/tex]
[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}[/tex]
[tex]\\ \sf\dashrightarrow 15x=105[/tex]
[tex]\\ \sf\dashrightarrow x=7[/tex]
Related Questions
the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.
Answers
Answer:
The amount of saving is Rs.1000.
Step-by-step explanation:
Solution :
Let the,
>> Expenditure = 3x>> Saving = 2xSo, solving for x.
[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]
[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]
[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]
[tex]{\dashrightarrow{\tt{x =500}}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]
Hence, the value of x is 500.
Thus,
>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000[tex] \rule{300}{1.5}[/tex]
A square with an area of 144cm is reduced by a factor of 1/3. How long are the new sides of the square?
Answers
Answer:
9.797. . .
Step-by-step explanation:
2/3 of 144 is 96
[tex]\sqrt{96} = 9.797...[/tex]
The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?
Answers
i.e
[tex]\\ \sf{:}\Rrightarrow -4+6=2[/tex]
New co-ordinates:-
[tex]\\ \sf{:}\Rrightarrow F(2,6)[/tex]
WILL GIVE BRAINLY,5 STARS, THANKS
4,800/60 = 480 tens / 6 tens = ___
Answers
Answer:
80
Step-by-step explanation:
Answer:
800 = 80 tens
Step-by-step explanation:
4800 / 60 = 800
Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?
Answers
Answer:
5.2
Step-by-step explanation:
ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]In this problem:
1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].The mean and the standard error are given by:
[tex]\mu = p = 0.62[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]
The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]
[tex]Z = -2.13[/tex]
[tex]Z = -2.13[/tex] has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
The regular price of a ladder is $250. If a customer uses the coupon, what percent will the customer save?
Answers
how many 7 digit numbers are there where all the digits are different and are in increasing order
Answers
Answer:
36
Step-by-step explanation:
Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...
123456789
We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.
There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.
__
Additional comment
The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...
© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answers
Answer:
I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5
Find the solution set of each inequality below, and then determine which inequalities have the same
solution set as -(-8x – 3) < 23. Select all that apply.
A
1
(8x + 3) < -23
B
(10x =
- 20) >-44
1
(8x + 3) >-23
(10
(10x +20) >44
E
(8x + 3) < 23
F-crx
(10x +20) < -44
+
Answers
Answer:
(8x+3)<23 is the same as -(-8x-3)<23
Step-by-step explanation:
-(-8x-3)<23 Original equation
(8x+3)<23 [Remove the parentheses]
It is the same equation as the chosen answer: (8x+3)<23
Answer:
Choice E.
Step-by-step explanation:
-(-8x – 3) < 23
-8x - 3 > -23
-8x > -20
x < 20/8
x < 2.5.
E:-
(8x + 3) < 23
8x < 20
x < 2.5.
Which is the last step when creating and analyzing a scatterplot from a table of values?
Plot the ordered pairs of the independent variable and the dependent variable on the coordinate plane.
Draw or obtain a blank coordinate plane.
Identify if there is a relationship between the independent and dependent variables.
Label the axes of the coordinate plane according to the input and output variables.
Answers
Answer:
A quadratic equation. ax2 +bx+c=0 has exactly one real solution if ∆=b2-4ac=0. We check the answers. In (A) ∆=1 ; in (B) ∆ =25: in (C) ∆=0; in (D)∆=1 . (C) is the correct answer.
Answer:
C. Identify if there is a relationship between the independent and dependent variables.
Step-by-step explanation:
the gym teacher has 13 playground balls for the 4 fourth grade classroom
to share. how many balls will each classroom get
Answers
Answer:
3-4
because 12 ÷4 is 3 but there is 13 so you add 1 ball so in each there is
4 3 3 3
Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).
Answers
Answer:
y=x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-4)/(4-2)
m=2/2
m=1
y-y1=m(x-x1)
y-4=1(x-2)
y=x-2+4
y=x+2
Tyra, Elle, Tran, and Ann share equally in the rental of a car. If the total cost of the rental is C dollars, which expression represents Tyra's share of the cost?
Answers
Answer:
c/4
Step-by-step explanation:
Since it's equally shared, and the total cost is C, then the answer is c/4
Drag each tle to the correct box
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation
Answers
MAGAKAKASUNOD NA PO YAN
#CARRYONLEARNING
pa brainliest po thanks
Problem Solving
4. A school club sells 43 raffle tickets on Monday and
39 raffle tickets on Tuesday. How many more raffle
tickets did it sell on Monday than on Tuesday?
Answers
Answer:
They sold 4 more raffle tickets on monday than they did on tuesday.
Step-by-step explanation:
Answer: they sold 4 more raffle tickets on monday than tuesday.-
Step-by-step explanation:
Which point would be a solution to the system of linear inequalities shown below?
Y>2/3x-4
Y<−4x−6
Answers
√x - 5+ x = 7
please help me out :)
Answers
The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]
Answers
Step-by-step explanation:
[tex]68 - 54[/tex]
[tex]14 \div 68 \times 100[/tex]
after doing that calculation you will get the percent increase
what is the range of a parabola that opens down with a vertex at (1,-3)
Answers
Answer:
-3 to -infinity
Step-by-step explanation:
Solve the system of linear equations y= 2x -3Y= x + 6
Answers
Answer:
x=9, y=15. (9, 15).
Step-by-step explanation:
y=2x-3
y=x+6
----------
2x-3=x+6
2x-x-3=6
x-3=6
x=6+3
x=9
y=9+6=15
Can you please factorise 7-x²
Answers
Answer:
Can't factorize with rational numbers
Step-by-step explanation:
The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.
Answer:
Step-by-step explanation:
7-x²
If we treat this as the difference of 2 squares we get
(√7 - x)(√7 + x)
Which number is closest to 1/2
Answers
Answer:
0.56
it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%
the state of California keeps track of how many millions of students are learning English as a second language each year: English Learners are shown in millions in the table.
find an equation for the median fit line
Answers
on a map of the northwest territories,4.0cm represents 920km. how far is it from tuktoyaktuk to fort smith is the distance on the map js 6.0cm
Answers
Answer:
1380 km
Step-by-step explanation:
Each 4 cm = 920 km
6 cm is 1.5 x 4, so multiply 920 x 1.5
Jared and Casey splurged on a special dinner for their anniversary. Their dinner cost $262.57,
and the local sales tax is 4%. If they left a 20% tip on the $262.57, how much in total did
they pay?
Answers
They paid a total of $325.5868
Can someone help me please
Answers
Answer:
the equation is linear, the equation is y=9.8x
Step-by-step explanation:
Mr. Cooper determined functions to represent his distance traveled in miles, d, in terms of the number of hours, 1, of driving on two types of
highways. He found that on a state highway the function was d = 45t, and on a U.S. highway, the function was d = 601.
If Mr. Cooper drove for 1.5 hours on each type of highway, how much farther did he drive on the U.S. highway than on the state highway?
Enter the answer in the box.
Answers
Answer:
105t1
Step-by-step explanation:
por qué los sumas te da
Justin completed 85% of a book when he read the first 170 pages. How many pages are in the book?
Answers
Answer:
200 BooksStep-by-step explanation:
find the slope of the line that passes through (3,1) (4,9)
Answers
Answer:
+8
Step-by-step explanation: