Answers
Answer:
[tex]y=8[/tex]
[tex]RS=77, ST=31[/tex]
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
[tex]RT=RS+ST[/tex]
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
[tex]108=(9y+5)+(3y+7)[/tex]
On the right, combine like terms:
[tex]108=(9y+3y)+(5+7)[/tex]
Add:
[tex]108=12y+12[/tex]
Subtract 12 from both sides. The right cancels:
[tex]96=12y[/tex]
Divide both sides by 12:
[tex]y=8[/tex]
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
[tex]RS=9y+5[/tex]
Substitute 8 for y:
[tex]RS=9(8)+5[/tex]
Multiply:
[tex]RS=72+5[/tex]
Add:
[tex]RS=77[/tex]
Do the same for ST:
[tex]ST=3y+7[/tex]
Substitute 8 for y:
[tex]ST=3(8)+7[/tex]
Multiply:
[tex]ST=24+7[/tex]
Add:
[tex]ST=31[/tex]
Y=8
RS= 77
ST= 31
Related Questions
-13 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Numbe
Answers
Answer:
Integer and Rational number.
a+ ab + b for a = 11, b = 8
Answers
Answer:
107
Step-by-step explanation:
Plug in 11 for a, and 8 for b.
a + ab + b
(11) + (11 * 8) + (8)
Remember to follow PEMDAS. First multiply, then combine terms:
11 + (11 * 8) + 8
11 + (88) + 8
99 + 8
107
107 is your answer.
~
Point W is on line segment V X. Given W X = 2 and V X = 17, determine the
length VW.
Answers
Answer:
VW = 19 units
Step-by-step explanation:
Here, we are to determine the value of the length of VW
Mathematically;
VW = VX + WX
VW = 17 + 2
VW = 19 units
1-3 Function Operations and Composition
Let f(x) = 4x - 7 and g(x) = 5 + 9x. What are f + g and f-g? What are their domains?
о А.
(f + g)(x) = 13x – 2; (f - 9)(x) = 5x + 12; domain of each is all real numbers except - 5
B. (f+g)(x) = 13x – 2; (1-9)(x) = -5x - 12; domain of each is all real numbers.
О С.
(f + g)(x) = 9x + 2: (8 - 9)(x) = 5x + 12; domain of f + g is all real numbers except
domain off-g is all real numbers except
O D. (+g)(x) = 9x + 2; (1-9)(x) = -5x - 12 domain off + g is all real numbers except - 5 domain of f- g is all real numbers except
1
Answers
11. A bottle of shampoo cost $7. You have $16 and a coupon for a
$5 discount at Walmart. How many bottles of shampoo can
you buy?
I
Answers
Answer:
3 bottles
Step-by-step explanation:
you equation is 7x-5=16
you add 5 to both sides which gets you 7x=21
then you divide 7 by both sides that gets you x=3
PLZZZZ HELP ME!!!!! I WiLL MARK U AS BRAINLIEST
Answers
Answer:
Step-by-step explanation:
I would say you can distribute the money by saving $25 dollars for your medium and log term and $50 for your short term. Because you will eventually raise enough from your paycheck to get your laptop. Then, once you get your laptop you put more money to your other terms.
3 times an unknown number is 21. Find the unknown number. The unknow number is
Answers
Answer:
The answer is 7
Step-by-step explanation:
Because 7 times 3 will give you 21, just divide 21 by 3.
Answer:
The answer is 7
Step-by-step explanation:
7+7+7=21
3×7=21
Please answer the question in the pictures.
Answers
1. Alternate exterior angles
2. Vertical angles
3. Alternate interior angles
Hope that helped :)
What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6 Help quick
Answers
Answer:
x= 2.64
Step-by-step explanation:
sorry im a little late but thats the answer!
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?
Answers
Answer:
2
Step-by-step explanation:
Given the question :
Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?
Number of granolas = 6
Number of dried fruits = 10
Since the snackbag is to be designed in such a way that there should be no food leftover, the greatest number of snack bags Serena can make could be obtained by getting the highest common factor of (6 and 10)
____6____10
2___3____5
Here, the highest common factor of 6 and 10 is 2
Hence, the greatest number of snack bags she can make is 2.
Which represents the solution set of the inequality 5x-9<21
Answers
Answer:
x < 6
Step-by-step explanation:
5x -9 < 21
then add 9 to both sides
5x< 30
divide by five
x<6
There are (43)2 ⋅ 40 strawberries on a farm. What is the total number of strawberries on the farm? (1 point) 3,2,and0 are above four
Answers
Step-by-step explanation:
40 strawberries in the farm
Answer:
46
Step-by-step explanation:
There are 46 of straws on the farm
in the following figure, how many planes are shown
Answers
Answer:
5 planes
Step-by-step explanation:
A plane is a surface joining three points.
Planes are the flat two dimensional surfaces which extends infinitely far.
From the figure attached planes are,
ABC, DEF, ABE, BCD, ACD
Therefore, there are five planes shown in the given picture attached.
M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B
Answers
Answer:
(4,6)
Step-by-step explanation:
1. Midpoint formula:
[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]2. Find [tex]x_2[/tex]:
[tex]x_m=\frac{x_1+x_2}{2}[/tex] [tex]2=\frac{0+x_2}{2}[/tex] [tex]x_2=4[/tex]3. Find [tex]y_2[/tex]:
[tex]y_m=\frac{y_1+y_2}{2}[/tex] [tex]5=\frac{4+y_2}{2}[/tex] [tex]y_2=6[/tex]4. Coordinates of B:
[tex](x_2, y_2)=(4,6)[/tex]Could someone help me
Answers
Answer:
Hey there!
The second box weighs (3/4)(3.5), which is 2 and 5/8. Option B is correct.
Let me know if this helps :)
Solve and graph the inequality. −22<4x−2≤10
Answers
Step-by-step explanation:
-22 < 4x - 2 ≤ 10
-20 < 4x ≤ 12
-5 < x ≤ 3
In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
Answers
Answer:
180, same side interior, 120, incorrect
Step-by-step explanation:
Seeing that the other person failed to answer the question at all and made a worthless topic answer. I went ahead and solved it.
So all you have to know that sets stuart wrong is that angle 12 is not 69 degrees. So the dropdowns as follows. Angle 1, 7 and 8 make one triangle and have equal degrees. So 180 equals a whole triangle. Angle 12 and 8 are on the same side and inside the triangle. (Remember 1,7,8? well divide 180 by 3 and u get angle 8 being 60. Same as angle 7. The interior trapezoid will be 60+60+120+120=360.) Angle 12= 120 thus Stuart is wrong.
The reasoning that may be used for finding the measure of m∠12, is the
same side interior angles theorem.
The correct options using the drop-down menu are;
The sum of ∠1, ∠7, and ∠8 is 180°∠8 and ∠12 are same side interior anglesThe measure of ∠12 must be = 120°Stuart is not correctReasons:
Given parameters;
Line x ║ line y
m∠1 = 65°, m∠7 = 55°
m∠12 = 60°
Stuart states ∠12 = 60°
The reasoning is presented as follows;
Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°
Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles
Step 3: So, m∠12 = 60°
Using the drop-down menu, we have;
The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)
∠8 and ∠12 are same side interior angles (by definition)
Same side interior angles are supplementary, therefore;
∠8 +∠12 = 180°
∠12 = 180° - ∠8
Which gives;
The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°
The measure of ∠12 must be = 120°
Stuart is not correct
Learn more about angles formed between parallel lines and a transversal here:
https://brainly.com/question/2633335
A statue at the park needs to be moved. Workers need to move it 7 yards north and 20
yards west. Which of the following represents the job they must do?
a) ( − 20, + 7)
b) ( + 7, + 20)
c) ( + 20, + 7)
d) ( − 7, − 20)
Answers
Answer:
the answer is a) (-20, +7)
Step-by-step explanation:
This because by moving the statue north, they are moving it up, and bye moving west they move it to the left. You can tell what is positive and negative by visualizing a graph. Going north is like moving up the y-axis, so you add 7 to the y coordinates. And moving it west would be like moving the statue towards the negative side of the x-axis, thus subtracting 20.
-0.8 x 1.8 x (-0.5)=
Answers
[tex]\rm{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]
- 0.8 × 1.8 × (-0.5)
= -0.8 × (-0.5) × 1.8
[ - ] × [ - ] = [ + ]= + 0.4 × 1.8
= 0.72
THIS WILL HELP ME ALOT
HELP ASAP
Which expression represents the prime factorization of 450?
A. 2 x 3 x 5 x 5
B. 2 x 2 x 5 x 5
C. 2 x 3 x 3 x 5 x 5
D. 2 x 2 x 3 x 5 x 5
Answers
Answer:
C
Step-by-step explanation:
2*3*3*5*5 =450
Which number is not in scientific notation?
0.95 ⋅ 108
1.1 ⋅ 105
7.00 ⋅ 108
9.9 ⋅ 10−28
Answers
Answer: I think the answer is 9.9 . 10-28
Answer:
The 7.00 and 10^8 is not in scientific notation because 7.00 can be written as 7 in scientific notation.
a rectangular picture has a length of 9 1/2 feet and width of 7 7/8 feet. How will you determine how much border is needed.
a. add 9 1/2 and 7 7/8
b. multiply 9 1/2 and 7 7/8
c. estimate with length 9 feet and width 7 feet
d.estimate with length 10 feet and length 8 feet
Answers
Answer:
c) part
Step-by-step explanation:
What is 3 over 5 + 1 over 9
Answers
Answer:
2/5
Step-by-step explanation:
3/5 + 1/9
= 12+6/45
= 18/45 which is 2/5
So, I'm giving 23 points! I need the area, just the number.
Answers
Answer:
21
Step-by-step explanation:
just the answer?
no explanation?
ok,
Answer: 21
1/2(6h – 4) = -5h + 1
Answers
Answer: h= 3/8
Step-by-step explanation:
1/2 (6h-4)=-5h+1
distribute
1/2*6h+1/2*-4=-5h-1
3h+-2=-5h+1
add 5h to both sides
8h-2=1
add two to both sides
8h=3
divide both sides by 8
h= 3/8
What is the sum of 4.5 + 3.2 + (-7.5)
Answers
Answer:
0.2
Step-by-step explanation:
4.5 + 3.2 = 7.7
7.7 - 7.5 = 0.2
-2x - 2y -2z + 5z -2y - 4z
Answers
Answer:
-2x-4y-z
-(2x+4y+z)
Step-by-step explanation:
hope it is helpful for you
if it is please follow me
Step-by-step explanation:
[tex] - 2x - 2y - 2z + 5z - 2y - 4z[/tex]
Collect like terms
[tex]2x - 4y - 2z + 5z - 4z[/tex]
[tex] - 2x - 4y - z[/tex]
The answer is - 2x-4y-z
Please mark as brainliest
1/2 + 2/3 ÷ 1/6 PLEASE HELP ASAP ASAP!!!!!!!!
Answers
Answer:
4.5
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
The temperature at 6:00p.m. was 7 degrees Celsius. The temperature dropped 2 degrees every hour. What was the temperature at 11:00 p.m.
Answers
Answer:
7 Celsius to Fahrenheit is 44.6.
There is a five hour gap.
The tempature drops two degrees per hour. So, multiply.
2 x 5 = 10.
Subtract 10 from 44.6.
You get 34.6.
34.6 is the answer.
Mary's car can go 24 miles on one gallon of gasoline. However , her gas mileage can vary by 2 miles per gallon depending on where she drives . Write an absolute value equation that you can use to find the minimum and maximum gas mileage.
Answers
Answer: | x -24 |=2
Step-by-step explanation:
Given: Mary's car can go 24 miles on one gallon of gasoline.
her gas mileage can vary by 2 miles per gallon depending on where she drives .
i.e. either 2 miles added or subtracted in the gas mileage.
i.e. -2< Gas milegae -24 <2
⇒ | Gas milegae -24 |=2
Let x represents the gas mileage.
Then, | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.