Answers
From Tales theorem: [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]
Solving for x:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]
Solving for z:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]
Related Questions
Which number has 21 as a multiple? 2 6 7 11
Answers
Answer:
7
Step-by-step explanation:
7x3=21
Answer:
7
Step-by-step explanation:
21÷7=3
In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?
Answers
Answer:
x is greater than -4
Step-by-step explanation:
Answer:
x > -4
Step-by-step explanation:
If two lines are parallel, and one line has a slope of 3/2, what is the slope of the other line?
Answers
A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.
(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )
Answers
Answer: x/100 = 96 - 80/80
so you multiply 80 times x and multiply 96-80 by 100 so
80x=1600
x= 20%
Step-by-step explanation:
What is the probability that you flip a penny 4 times and it lands on tails all four times in a row?
Group of answer choices
1/8
1/16
1/4
1/2
Answers
Answer: 1/8
Step-by-step explanation:
Since flipping a coin once and it landing on tails is 1/2, multiply it by however many times you flip it, and that will be you're answer.
how can you round 0.234 to the nearest hundredth?
Answers
Answer:
0.23 or 0.230
Step-by-step explanation:
You can round it by looking at the hundredths place.
Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.
Answer:
the way that you do this is
Step-by-step explanation:
so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number. so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower. If it was 0.238 then the answer would now be 0.24 because it's higher then 5. please give me brainliest.
13 more than a number Y is -7.
Answers
Answer:
m
Step-by-step explanation:
j
Answer:
-20
Step-by-step explanation
To make the sentence into an equation it would be y+13=(-17). To solve this you would need to get y by itself. To do this, you would make the equation y+13-13 , since you need to do the same thing from both sides, it would be y+13-13=(-17)-13 . Simplify the equation to make y=(-7)-13 . Counting back 13 from -7 gets you to -20 . Finally you get to y=(-20) , so the answer is -20
MARKING BRAINLIEST!!!!
Answers
Answer:
12
Step-by-step explanation
Convert 30% into a fraction and shade the circle according to the result.
Answers
Answer:
3/10 shade 3 in
Step-by-step explanation:
Help Please! △ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
∠1≅∠B
∠1≅∠C
m∠1+m∠BAC+m∠2=180°
m∠BAC+m∠C+m∠2=180°
∠2≅∠A
Answers
not sure but i thibj the second one
Help me with this thing thanks anoarefi
Answers
Answer:
1. 8
2. 16
Step-by-step explanation:
8/4=2
64/4=16
Answer:
The answers are
1. x=8
2. x=16
Can the remainder be greater than the quotient?
Answers
Yes and no it depends
but it is possible
Answer:
Yes
Step-by-step explanation:
Yes, the quotient is the answer to a division question. An example of this is 5/3. The quotient is 1 and the remainder is 2. If it replaced quotient with divisor, then the answer would be no.
–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1
Answers
Given:
The expression is
[tex]-5x+4-x-1[/tex]
To find:
The terms, like terms, coefficients and constants.
Solution:
We have,
[tex]-5x+4-x-1[/tex]
It can be written as
[tex]=(-5x)+4+(-x)+(-1)[/tex]
So, terms are [tex]-5x,4,-x,-1[/tex].
It two terms have same variable of same degree, then they are called like terms.
[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.
In the product of a number and a variable, the number is called coefficient.
Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.
Constant terms are free from variable. So, constant terms are 4 and -1.
Terms: [tex]-5x,4,-x,-1[/tex];
Like terms: [tex]-5x, -x;4, -1[/tex];
Coefficients: -5, -1;
Constants: 4, -1
Therefore, the correct option is c.
The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x
Answers
9514 1404 393
Answer:
32 = (x) +(2x -5) +(2x -3)
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = a + b + c
32 = (x) +(2x -5) +(2x -3)
__
This can be simplified to ...
32 = 5x -8
and solved to find x:
x = (32 +8)/5 = 8
Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?
Answers
There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answers
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
x
3
4
5
6
y
9
12
15
8
Answers
Answer: (x34, y912)
Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)
Answer:
x = 2, y = 6
Step-by-step explanation:
I'm assuming you're finding the pattern and then finding x and y, in which case it would be:
In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.
In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.
Select all that are equal to 5^3• 5^-7
Answers
Answer: its b and c
Step-by-step explanation:
Help please will give brainliesy
Answers
Answer:
You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)
Step-by-step explanation:
Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)
Then you simplify the right. x - 1 = +- 5sqrt(2)
The answer is both the positive and negative versions.
I’m not sure if it’s 1 but I know it’s not 3 and if you answer please Give an explanation!
Answers
Answer:
1
Step-by-step explanation:
if you substitute 1 in for x, you would see that 5 = 5
hope this helps!
Which equation best represents the relationship between x and y in the graph? A) y = - 3 4 x - 3 B) y = - 4 3 x - 3 C) y = - 3 4 x - 4 D) y = - 4 3 x - 4
Answers
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
Find the slope of the line that passes through (9,4) and (4,11)
Answers
hope this helps
Simplify 3/100 + 33/100 Correct to
1 decimal place
Answers
Answer:
9/25 = 0.36
Step-by-step explanation:
CLICK THAT CROWN AND THANK YOU BUTTON
Answer:
9/25 = 0.36
Step-by-step explanation:
How do you solve 4x^2 + 44x + 96 step by step?
Answers
Answer:
60x+96
Step-by-step explanation:
4x^2= 16x
16x+44x+96
60x+96
ur welcome lol
Can you please help? :)
Answers
Answer:
okay I also have no idea why why r busy and see
Answer:
i'm gonna say the answer is 16cm
Step-by-step explanation:
12/6 = 2
8/16 = 2
Help me please. Id appreciate it greatly
Answers
Answer:
1.39
2.4/5
3. 4/5t+39
4. 4
5.4/3
6.4/3g+4
i hope i got this right.
1 2 ÷ 3 2 1 ÷3 need help lol
Answers
Answer:
0.012461059
Step-by-step explanation:
Answer:
g00gle says 0.01246105919
Step-by-step explanation:
Lincoln constructs a triangle with one side 5 inches long and another side 7 inches long. Which is NOT a possible length for the third side?
12 inches
3 inches
6 inches
11 inches
Answers
Answer:
Step-by-step explanation:
I can help
Write the equation for the graph below:
HELP
Answers
help
9/6
what 72 ty76uddjxxjhzh38488
100 points! Will mark brainliest! Only answer if you know what it is! Any random answers WILL be reported
Answers
Answer:
Answer : False.
Step-by-step explanation:
Hey there!
The equations of line a and line b are:
line a : y= 5x-6...........(i)
line b : x+5y= 5..........(ii)
Firstly find the slope of both equation.
To find slope of first equation;
y= 5x-6
Comparing the equation with y= mx+c. We get;
Slope (m1) = 5.
Now,
To find slope of second equation;
Slope (m2) = (-coefficient of x)/(coefficient of y)
Slope (m2) = (-1/5)
Therefore, the slope of second equation is -1/5.
As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.
Now, comparing their slopes;
5≠(-1/5)
Therefore, the answer is "False".
Hope it helps....
Line A
y=5x-6Compare to slope intercept form
slope=m=5LineB
x+5y=55y=5-xy=1-1/5xSlope
k=-1/5As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel
Hence it's False