Answer:
b
Step-by-step explanation:
[tex]3x - 2y = 12 \\ 2x + 2y = 3 \\ 2y = 3 - 2x \\ 3x - (3 - 2x) = 12 \\ 3x - 3 + 2x = 12 \\ 5x = 15 \\ x = 3 \\ 2y = 3 - 6 = - 3 \\ y = - \frac{3}{2} [/tex]
(3, -3/2)
Quadrilateral MNPQ is shown.
Trapezoid M N P Q is divided into 4 triangles by N Q and M P, which intersect at point R inside the trapezoid. N P is parallel to M Q and M N is congruent to Q P. Angle N M P is 30 degrees and angle P M Q is 32 degrees. Segment Q R equals 4.1.
If MP = 5.9, what is RN?
(Round your answer to the nearest tenth. Write NA if there is not enough information given.)
Answer:4.1
Step-by-step explanation:
In the Quadrilateral MNPQ, if MP = 5.9, then RN = 1.8.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given:
Quadrilateral MNPQ is shown.
Trapezoid MNPQ is divided into 4 triangles by NQ and MP.
MQ is parallel to NP.
That means, MQ and NP always at the equal distance.
MN ≅ QP
So,
MP = QN
Now,
QN = QR + RN and QR = 4.1:
MP = QN
5.9 = 4.1 + RN
Then RN = 5.9 - 4.1 = 1.8
Therefore, the value of RN is 1.8.
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Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$348.82
Step-by-step explanation:
240 +86=326
326× 7%= 22.82
326+22.82= $348.82
Answer:
$348.82
Step-by-step explanation:
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
Answer:
£3,692
Step-by-step explanation:
First four years
A = p(1 + r/n)^nt
P = £2350
r = 4.2% = 0.042
n = 1
t = 4
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Next 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Please help me ASAP I need this done please! (Giving brainliest)
Answer:
Step-by-step explanation:
a 2x-2+6x+10=120
b x=14
c l=47 w=13
Find the value of Y
Help plz whenever you can :D
Answer:
siny=xz/yz
sin45=y/15√2
15√2×1/√2=y
y=15
Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:
(Choice A)
A
25 6425⋅6425, dot, 64
(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25
⋅64start fraction, 25, divided by, 100, end fraction, dot, 64
(Choice C)
C
0.25\cdot 640.25⋅640, point, 25, dot, 64
(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25
64, divided by, start fraction, 25, divided by, 100, end fraction
(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64
Answer: 96/100⋅25 and 0.96⋅25
Step-by-step explanation: i did it on khan academy :D
Answer:
choice A
choice c
Step-by-step explanation:
Ill give brainliest,
The fastest train on Earth, the TGV from France can travel at faster speeds than most any other train. During a test, the train travel 800 miles in 2.5 hours. What is its speed?
Answer:
The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.
Step-by-step explanation:
The speed of the train is 320 miles per hour.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values is given using this formula.
We have,
The speed of the TGV train can be calculated using the formula:
Speed = distance/time
where distance is given in miles and time is given in hours.
In this case,
The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.
Substituting these values into the formula, we get:
Speed = 800 miles / 2.5 hours
Simplifying the expression on the right-hand side, we get.
Speed = 320 miles per hour
Therefore,
The speed is 320 miles per hour.
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Find the value of x in the acute scalene triangle that has the angles 114° and 37°
pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
182 is what percent of 130?
Answer:
140%
Step-by-step explanation:
To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain
To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.
Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet
Step-by-step explanation:
the points (3,48) and 5,768) lie on the graph of an exponential function. write the equation in exponential form. Must explain or I'll report! answer asap!
Answer:
y = 3/4*4ˣStep-by-step explanation:
The function is:
y = abˣSubstitute the values from the given points and solve for b:
48 = ab³768 = ab⁵Divide the second equation by the first one:
768/48 = ab⁵/ab³b² = 16b = 4Find a using the first equation:
48 = a*4³a = 48/64a = 3/4The function is:
y = 3/4*4ˣIn which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
24 kilograms turned into pounds
Answer:
52.91 pounds
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year
Calculate the amount in his amount after 2 years
Answer:
£ 6,564.70
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years
Compound Interest formula =
A = P(1 + r/n)^nt
A = Final Amounrt
P = Principal = £6,000
r = Interest rate = 4.6%
t = Time in years = 2 years
n = Compounding frequency = Yearly = 1
First, convert R percent to r a decimal
r = R/100
r = 4.6%/100
r = 0.046 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 6,000.00(1 + 0.046/1)^(1×2)
A = £ 6,564.70
The amount in his account after 2 years = £ 6,564.70
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 13 feet per
second. One day, the equipment elevator begins to descend. After 32 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 12 seconds? At that time, which elevator is deeper?
The nosition of thn
in
Answer:
.
Step-by-step explanation:
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
Not asking a question, but i just wanted to thank every single one of you answering questions, you've helped me so much.
Answer:
I know that many people have helped u and I appreciate that you are thanking them.
Step-by-step explanation: Happy early Valentine’s Day!
Answer:
yw
Step-by-step explanation:
Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack costs $4.77. Which is the better buy?
Answer: The pack of 20.
Step-by-step explanation:
It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.
QRST is a rectangle. Find the length of the diagonals.
QS=8x−11 and RT=4x+21
Answer: they’re both 53
Step-by-step explanation:
i just took the test and it is correct
How do I find the rate of change?
explain as if you were explaining it briefly to a stranger irl
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value.
A certain population has 1,000 people in it. Which of the following numbers would be an appropriate number for a
random sample?
O 10
200
O 1,000
0900
Answer:
10
Step-by-step explanation:
3 3/4 yd = how many feet please help it has to be a fraction
c/- 4 = 16
please help
7 2/9 - 5 5/7= [?] [?]/[?]
Answer:
MARK BRAINLIEST OwO
Can someone pl help. Thx
Answer:
3.10?
Step-by-step explanation:
i dont know sorry if its wrong
Math club has 18 members. Each member pays
$16.40 each month. 11 members have already
paid. How much money needs to be collected?
A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
72ft²
Step-by-step explanation:
A = ½ (12*12)
A = ½ * 144
A = 72ft²
What is the value of x?
SUBMIT WORK FOR THIS QUESTION
(x + 40)
(3x)
Answer:x=35 because if you add the terms then your equation would be 4x+40=180 because it’s a 180 degree line.
Step-by-step explanation: