Answers
Answer:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10
Related Questions
It's due today pls help me out
Answers
Answer: 6(5w+2)
Step-by-step explanation: Factor 30w+12
11. The price of a bottle of water at a store decreases from $1.65 to $1.40. Rounded to the nearest
tenth of a percent, what is the percent decrease in the price of the bottle of water?
A. 15.2%
B. 17.9%
C. 45.9%
D. 54.1%
Answers
Answer:
A. 15.2%
Step-by-step explanation:
Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.
[tex]1.65-1.40=0.25[/tex]
The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.
[tex]0.25/1.65=0.152[/tex]
And then move the decimal place over two spots (multiply by 100)
15.2
Percent decrease in the price of the bottle of water is 15.2% (Approx.)
Given that;Older price of bottle = $1.65
New price of bottle = $1.40
Find:Percent decrease in the price of the bottle of water
Computation:Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100
Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100
Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100
Percent decrease in the price of the bottle of water = 15.2% (Approx.)
Learn more:https://brainly.com/question/10156335?referrer=searchResults
Round answers to three decimal places. Area of 1st rectangle =0.022 Area of 2nd rectangle = Area of 3rd rectangle = Area of 4th rectangle = Area of 5th rectangle = Area of 6th rectangle = Total area =
Answers
Answer:
Total area ≈ 0.082
Step-by-step explanation:
Round answers to three decimal places.
Area of 1st rectangle = 0.032
Area of 2nd rectangle =25 x 0.000863
= 0.022
Area of 3rd rectangle = 0.014
Area of 4th rectangle = 0.008
Area of 5th rectangle = 0.004
Area of 6th rectangle = 0.002
Total area = 0.082
Rounding up to 3 decimal places: this means 3 numbers after the decimal point
Area of 1st rectangle ≈ 0.032
Area of 2nd rectangle ≈ 0.022
Area of 3rd rectangle ≈ 0.014
Area of 4th rectangle ≈ 0.008
Area of 5th rectangle ≈ 0.004
Area of 6th rectangle ≈ 0.002
Total area = 0.032 + 0.022 + 0.014 + 0.008 + 0.004 + 0.002
= 0.082
Total area ≈ 0.082
Answer:
Round answers to three decimal places.
Area of 1st rectangle =0.022
Area of 2nd rectangle =
⇒ 0.014
Area of 3rd rectangle =
⇒ 0.008
Area of 4th rectangle =
⇒ 0.004
Area of 5th rectangle =
⇒ 0.002
Area of 6th rectangle =
⇒ 0.001
Total area =
⇒ 0.051
Step-by-step explanation:
edg 2021
12a+10 find algebraic expression
Answers
Answer:
dont know
Step-by-step explanation:
it is very confusing
Answer:
2(6a+5)
Step-by-step explanation:
In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures
A 51°
B 68°
C 90°
D 39°
Answers
Answer:
68 degrees
Step-by-step explanation:
To get the interior angle, we use an important triangle principle
The principle is that the sum of the opposite interior angles equal the exterior angle
Let the second interior angle be x
x + 51 = 119
x = 119-51
x = 68
What is the measure of the third angle
Answers
58
a right triangle is 90 degrees so you subtract 32 from 90 to find the remainder
Answer:
The third angle is 58 degrees
Step-by-step explanation:
In a triangle all three angles add up to 180 degrees. If you know two sides, add them up then subtract the sum from 180. This will leave you with the last angle measurement.
In a right triangle we always know there is one angle that has a measure of 90 degrees. So now we know two angles 90 and 32.
90 + 32 = 122
180 - 122 = 58
Original price of a camera: $649.50
Discount: 40%
What’s the selling price
Answers
Answer: The price of the cámara will be $389.7.
Step-by-step explanation:
brainly and points :)
Answers
Answer:
[tex]\mathrm{B.\:}408\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The total surface area of this pyramid consists of four triangles and a square. We can add the area of each to find the total surface area:
[tex]4\cdot \frac{1}{2}\cdot11\cdot12+12^2=\fbox{$408\:\mathrm{ft^2}$}[/tex].
1. Which describes the transformation shown below? PLS HURRY HELP!!!
A. Reflection over the y-axis
B. Rotation 270° clockwise
C. Rotation 90 ° clockwise
D. Translation left
Answers
Answer:
C because i had this before and got it right
favorite food pizza35 hotdog30 hamburger 200 whta percatage is all student's count
Answers
Answer:
265
Step-by-step explanation:
200+30=230
230+30=260
260+5=265
y=3x, x+y=52
Solve by subtracting
Answers
Answer:
x=13,y=39
Step-by-step explanation:
y=3x,x+y=52
x+3x=52
4x=52
x=52/4
x=13
y=3(13)
y=39
SOMEONE PLEASE HELP ME WITH THIS
Answers
Answer:
b
Step-by-step explanation:
I think its b I'm not sure but let me know if its wrong so I can improve
The measure of an arc is 95°. What is the measure of an inscribed angle that intercepts it?
Answers
It could be 190 because its a half measure
Anybody know this need help??
Answers
Answer:
42 mi
Step-by-step explanation:
To find the perimeter, just add up all the side lengths.
13 + 14 + 15 = 42
Note this is mi and not mi² since this is not area.
Answer:
i think i know. . if its asking for the perimeter, its talking about around the triangle soooo C
Step-by-step explanation:
I'm sorry if you get it wrong. .
Maria deposited her pay check of $301.86 into her savings account that already had $123.16. She then withdrew $60.00 for her weekly pocket money and went food shopping where she spent $153.44. She also paid off her outstanding loan of $220.00. What is her new balance?
Answers
Answer:
-8.42
Step-by-step explanation:
Frank made $80 for 5 hours of work,
At the same rate, how much would he make for 17 hours of work?
Answers
Answer:
$272
Step-by-step explanation:
We're going to make an equation
we'll make x hours
5x=80
solve for x and you get 16 dollars an hour
16 times 17 is 272
In fixed deposit, a bank gives 10% interest compounded annually for senior citizens. How many complete years will it take for a sum of money to be more than double.
Answers
Answer: 8 years
Step-by-step explanation:
You can find this out use the Rule of 72. By dividing 72 by the fixed interest rate, you can estimate the amount of time it will take for an investment to double in size:
= 72/10
= 7.2 years
= 8 complete years
Example:
Assume they invested $1,000. Interest rate is 10%.
Amount after 8 years will be:
= 1,000 * (1 + 10%)⁸
=$2,143.59
Investment is now more than double.
slope , m = 3 .y -intercept , b =7
Answers
Answer:
The slope is 3 and the y-intercept is 7. The equation of the line is 3y - 7.
Step-by-step explanation:
The equation of the line works such that y = mx + b where m is the slope and b is the y-intercept. Thus,
slope = m
= 3
y-intercept = b
= 7
Find the greatest common factor.
3x^2a+3xa^2
Answers
Since
3
x
2
a
,
3
x
a
2
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
3
x
2
a
,
3
x
a
2
:
1. Find the GCF for the numerical part
3
,
3
2. Find the GCF for the variable part
x
2
,
a
1
,
x
1
,
a
2
3. Multiply the values together
Find the common factors for the numerical part:
3
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
List all the factors for
3
,
3
to find the common factors.
3
:
1
,
3
3
:
1
,
3
The common factors for
3
,
3
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
x
2
,
a
,
x
,
a
2
The factors for
x
2
are
x
⋅
x
.
x
⋅
x
The factor for
a
1
is
a
itself.
a
The factor for
x
1
is
x
itself.
x
The factors for
a
2
are
a
⋅
a
.
a
⋅
a
List all the factors for
x
2
,
a
1
,
x
1
,
a
2
to find the common factors.
x
2
=
x
⋅
x
a
1
=
a
x
1
=
x
a
2
=
a
⋅
a
The common factors for the variables
x
2
,
a
1
,
x
1
,
a
2
are
x
⋅
a
.
x
⋅
a
The GCF for the variable part is
x
a
.
GCF
Variable
=
x
a
Multiply the GCF of the numerical part
3
and the GCF of the variable part
x
a
.
3
x
a
Answer: 3xa
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor
Approximately 38 percent of people living in Region W have the blood type O positive. A random sample of 100 people from Region X revealed that 35 people in the sample had the blood type O positive. Consider a hypothesis test to investigate whether the percent of people in Region X with O positive blood is different from that of in Region W. Which of the following is the appropriate null hypothesis for the investigation?
Answers
Answer:
Step-by-step explanation:
p = .38
The graph shows how the values of two used cars changed during a 10-year period.
USED CAR VALUES
254
20
Car 1
Value (thousands of dollars)
Car 2
0
1 2 3 4 5 6 7 8 9 10
Time (years)
What was the approximate value of the cars when the two cars were equal in value?
$6.000
$9.000
$15.000
$18.000
Answers
Answer:
9,000
Step-by-step explanation:
Just took test
pls help i suck at math
what does x= for number 9 and 12
Answers
Answer:
9. 1/7
12. 16.85
anyone tryna help -10-3(7-x)
Answers
-10-3(7-x)=
answer: -31+3x that's what he gave me I hope I have helped you.
Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pound of rice. How many bags of rice can malcolm fill??
Answers
Answer:
part 1: Divide 5 1/4 pound by 5/8 pound
part 2: 8 bags
part 3: 2/5 of another bag
Step-by-step explanation:
total number of bags that can be filled equals total rice divided by the amount of rice per bag
=5 1/4 divided by 5/8
=(21/4)/(5/8) turn the mixed number into improper fraction
=(42/8)(5/8) common denominator
=42/5
=8.4 bags, but can only fully fill 8 bags
2/8 pounds of rice are left over after filling 8 bags, and 2/8 pounds is equal to
2/5 of another bag
(2/8)/(5/8)
=2/5 simplify
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)
A) 35 B) 30 C) 16 D) 17
please show how
Answers
Answer:
Answer: 35
Step-by-step explanation:
five out of every eight are carrying suitcases, so muiltiply 5/8 times 56 to get 35
Trip has 15 coins worth 95 cents.Four of the coins are each worth twice as much as the rest. Construct a math argument to justify the conjecture that Trip has 11 nickels and 4 dimes
Answers
11+4=15
Both are equal to the constraints of the word problem and there for justified.
Melanie and Rena open a joint bank account for their jewelry-making business. Melanie contributes $400 to the account, and Rena deposits 225% as much money as Melanie. Which statements are correct?
Answers
Answer:
B,C, D
Step-by-step explanation:
Answer:900
Step-by-step explanation:
Rena deposits 900 into the account
Anyone knows the answer
Answers
Answer:
the answer is 0
Step-by-step explanation:
cuz BD = AC
and if u put a number that u want, the answer of BD - AC will be 0
Answer:
0
Step-by-step explanation:
BD is congruent to AC so there's no need to find the values, it's automatically 0
Ms.Smith is making party bags for her daughter’s birthday party. She wants to give party bags of 4 ounces of candy to each party guest. She bought a 20-pound bag of candy. How many 4-ounce servings are in a 24-pound bag of candy?
Answers
Answer:
there are 96 4 oz servings in a 24 pound bag
Step-by-step explanation:
HELLLLLLLLLLLLLLLLLLLLLLLLLLLP
Answers
Answer:
C
Step-by-step explanation:
x axis is the horizontal line, so count positive 6, not negative, from there. Then go 3 upwards since its positive 3 :)