Hii om gosh so I am having a rough time trying to solve this problem for geometry. If you can tell me if what I have so far is right and what else I need, I’d really really appreciate it!!!
“3. Solve for x. Do not forget the statements and reasons.”
Answers
Answer:
x = 6
Step-by-step explanation:
In order to find the value of x, first we need to prove the triangles PQS and RQS as congruent. Let us do it.
[tex] In\: \triangle PQS \:\& \:\triangle RQS\\\\
PS \cong SR.... (given) \\\\
\angle PSQ \cong\angle RQS... (\because QS\perp PR) \\\\
QS \cong QS... (Common \: side) \\\\
\therefore \triangle PQS \cong \triangle RQS.. (SAS \: Postulate) \\\\
\therefore PQ = QR... (BY\:CSCT) \\\\
\therefore 2x + 15 = 5x - 3\\\\
\therefore 2x - 5x = - 3 - 15\\\\
\therefore - 3x = - 18\\\\
\therefore x =\frac{-18}{-3}\\\\
\huge \red {\boxed {\therefore x = 6}} [/tex]
Both sides need to equal out to the same number
2•6 = 12
12+15= 27
5•6= 30
30-3= 27
Both sides equal out to the same number so 6 would be the correct answer.
Sorry I’m not very good at explaining things I hope this helps!!
Related Questions
The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday. On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed. On Wednesday, Louie ate 1 less than 3/4 of the total number of burritos consumed. Write an equation to determine the total number of burritos consumed. Hint: let x = # burritos consumed.
Answers
Answer:
The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]
Step-by-step explanation:
Let x be the total number of burritos consumed
We are given that On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed
So, Number of burritos ate by Delainey on Tuesday=[tex]\frac{1}{2}x+16[/tex]
We are also given that Louie ate 1 less than 3/4 of the total number of burritos consumed.
So, Number of burritos ate by Louie on Wednesday =[tex]\frac{3}{4}x-1[/tex]
We are given that The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday.
So, [tex]\frac{1}{2}x+16=\frac{3}{4}x-1\\1+16=\frac{3}{4}x-\frac{1}{2}x\\17=\frac{x}{4}\\68=x[/tex]
Hence the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]
I need help I got -9.125 but the calculator says -9. Here is the problem. Please help ASAP
-8-5n=64+3n
Answers
Answer:
n= -9
Step-by-step explanation:
The calculator is correct haha, You're welcome.
n=-9
Explanation:
In order to solve for x, we must get x by itself on one side of the equation.
The equation is:
-8-5n=64+3n
5n is being subtracted and the inverse of subtraction is addition. Add 5n to both sides of the equation.
-8-5n+5n=64+3n+5n
-8=64+3n+5n
-8=64+8n
64 is being added and the inverse of addition is subtraction. Subtract 64 from both sides of the equation.
-8-64=64-64+8n
-8-64=8n
-72=8n
n is being multiplied by 8. The inverse of multiplication is division. Divide both sides of the equation by 8.
-72/8=8n/8
-72/8=n
-9=n
The solution to the equation is n=-9
Which equation represents a proportional relationship
Answers
Answer: B y=100/x
Step-by-step explanation:
in the diagram below, find the value of y
Answers
Answer:
y = 130°
Step-by-step explanation:
4x + 8 + x + 7 + 3x - 19 = 180 (all angles in a triangle add upto 180)
8x = 184
x = 23°
3x - 19 + y = 180 (supplementary = 180)
sub x = 23 into equation
50 + y = 180
y = 130°
Answer:
130
Step-by-step explanation:
Points Q, R, S, and T are shown on the number line. What is the distance between point Q and point S on the number line?
A) 2 units
B) 4 units
C) 6 units
D) 7 units
Answers
Point Q is at -4, so to get to Point S, which is at 2, you have to jump 6 units to get from Q to S.
PLEASE HELP ASAP I REALLY NEED THIS
Answers
Can someone help me please, TEST - Need help
Need help to solve these 2 problems. I need to show the work
THANK YOU
Answers
Answer:
14. d
15. b
Step-by-step explanation:
steps for #14:
1. complementary angles are angles that equal 90 degrees when added together. so, those two angles equal 90. make an equation to represent this.
(x + 5) + (x - 9) = 90
2. combine like terms.
2x - 4 = 90
3. solve for x.
2x = 94
x = 47
4. plug x into both formulas to find the measurements of each angle.
47 + 5 AND 47 - 9
d. angle DFG = 52, angle JKL = 38
steps for #15:
1. when angles are linear pairs, it means they equal 180 degrees when added together. so, these two angles equal 180. make an equation to represent this.
(x - 39) + (x + 61) = 180
2. combine like terms.
2x + 22 = 180
3. solve for x.
2x = 158
x = 79
4. plug x into both formulas to find the measurements of each angle.
79 - 39 AND 79 + 61
b. angle 1 = 40, angle 2 = 140
How many years will it takes an investment of 3000$ to amount to 5,000 if money is invested at 4.1% compounded monthly
Answers
Answer:
1.66
Step-by-step explanation:
The years needed to make $3000 to $5000 is 12.5.
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, an investment of $3000 to amount to 5,000 if money is invested at 4.1% compounded monthly
A = P(1+r/12)^12t
5000 = 3000(1+0.041/12)^12t
5/3 = (1.0034)^12t
Taking log both sides,
log5/3 = 12tlog(1.0034)
0.221 = 12t0.00147
12t = 150.34
t = 12.5
Hence, required years are 12.5.
For more references on compound interest, click;
https://brainly.com/question/14295570
#SPJ5
The point Q (5,3) is translated 2 units left. What are the coordinates of the resulting point Q?
Answers
Answer:
(3,3)
Step-by-step explanation:
you moved the point 2 units to the left. So the X value must go down 2.
(5-2,3)
what line matches the equation
Answers
Answer:
You forgot the picture
Step-by-step explanation:
I think
10. Which polynomial expresses the difference of these two polynomials?
(74+6% - 10) - (- 346 - 7k + 1)
O 10k - 1k - 11
O 1046 - 16 - 9
O 10k + 13k – 11
O 10k +13k - 9
Answers
What is the slope for (-3,7) and (9,-14)
Answers
Answer:
-7/4
Step-by-step explanation:
The slope of the line is -7/4
Answer:
= -7/4
Step-by-step explanation:
When we have 2 points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -14-7)/(9- -3)
= ( -14-7)/(9+3)
= -21/12
Simplify
= -7/4
Six times a number plus 3 equals three times the same number minus
nine. What is the number? Hint: Let x= a number. Create the expression for
the other number based on the information
in the word problem.
Answers
Answer:
x = -4
Step-by-step explanation:
Six times a number plus 3 equals three times the same number minus
nine. This equation is 6x + 3 = 3x -9. Next, solve this equation and you get -4. Plug in -4 for x and you should get -21 on both sides.
write the recurring fraction 0.4 as a fraction in it's simplest form
Answers
Please help me im the worst at these :(((
Answers
Answer:
the middle on is 15 i think
List the first 6
multiples of 14m
Please explain I don’t understand
Answers
Can someone just tell me how to do it plzzzz... will give brainliest!!!!!!
Answers
To find solutions from graphs, look for the point where the two graphs cross one another. This is the solution point. For example, the solution for the graphs y = x + 1 and x + y = 3 is the coordinate point (1, 2). The solution to these equations is and.
NEED HELP ASAP
in this graph, the y-intercept of the line is ___.
The equation of the line is y= __ x __.
BLANK 1:
•2
•-2
•0
•-1
BLANK 2:
•2
•-2
•1
•-1
BLANK 3:
•2
•-2
•1
•-1
Answers
use the app m a t h w a y ! have a good one
Use the function g(x)=5x−2 to complete the table.
Answers
Answer:
g = 5x-2/ x
Step-by-step explanation:
what is4=3a-14? .....
Answers
Answer:
a=6
Step-by-step explanation:
-3a=-14-4
-3a=-18
a=6
Answer:
The answer is a=6
Step-by-step explanation:
Please help me out with these math questions! Legit answers only please!!
Answers
Answer:
1.First option
2.last option
3.last option
hi help and you get 100 points
Answers
I know all but 14. and 14. but number 10. is -1.89 11. is 1.86 and 12. is 6.24.
Answer:
Okay so 2+2 = 4
Step-by-step explanation: 349609658959603589657045863408w8024306835+1=349609658959603589657045863408w8024306836
Simplify the following expression as a monomial: 25x5/5
Answers
Answer: 25
Step-by-step explanation:
because 25 times 5 is 125 and dividing it brings it back to 25
Can someone please help me asap I’ll mark brainlist?!?!
Answers
Answer:
40
Step-by-step explanation:
15/40 divided by 5= (15 divided by 5)/(40 divided by 5)= 3/8
Answer:
a = 40
Step-by-step explanation:
Cross multiply, then divide:
15 × 8 = 120120 ÷ 3 = 40I hope this helps!
Reggie runs 5 miles per hour for 1 1/2 hours. If
Heather runs the same distance in 1 hour, then
what is Heather's average speed in miles per
hour?
A. 10
B. 9 1/2
C. 7 1/2
D. 5
Answers
Answer:
D. 5
Step-by-step explanation:
Heather runs 5 miles in 1 hour.
average speed = distance/time = 5 miles / 1 hour = 5 miles per hour
Answer: D. 5
[tex] \sqrt{64 \: } [/tex]
the square root
Answers
The square root of 64 is 8
Please solve for me ;6÷2(1+2)
Answers
Answer:
9
Step-by-step explanation:
Need Helps ASAP!
Complete the statements below with the process used to achieve steps 1-4
Answers for each step:
Multiply, add, subtract, divide.
Answers
Step 1. Multiply
Step 2. Subtract
Step 3. Add
Step 4. Divide
please help, plz and thank u
Answers
Step-by-step explanation:
rectange part area= width x length
16 x 2
32 in.^2
triangle part area= bxh/2
6x4/2
24/2
12 in.^2
total area = 12+32
44 in.^2
If x represents a number, then write an expression for a number that is eight less than twice the value of x.
Answers
Answer:
2x-8
Step-by-step explanation:
