Hi!
So let's start with some variables.
w is width
L is length.
The length is 4 less than 5 times the width. Let's put that into an equation.
L = 5w - 4
The perimeter is 76.
The perimeter is L + L + w + w or
perimeter = 2L + 2w.
Which means that 1/2 of the perimeter = L + w.
We know the perimeter is 76, so half of 76 is 38.
38 = L + W.
Let's put length in terms of width and plug in the previous equation.
38 = 5w - 4 + w
Add the same variables
38 = 6w - 4
simplify
42 = 6w
w = 7
And plug that into the length equation that we had above to get
L = 35 - 4
L = 31
The correct answer is C: 7, 31
Answer:
1. C. 7, 31 cm
2. A. 43°, 137°
Step-by-step explanation:
1.
A. 14+14+66+66=160 (incorrect)
B. 7+7+27+27= 68 (incorrect)
C. 7+7+31+31= 76 (correct)
D. 7+7+39+39= 92 (incorrect)
For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.
2.
Supplementary angles add up to 180°
The formula is x° × 5 = y° × 2 - 59
A. 43° × 5 = 137° × 2 - 59 (correct)
B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)
C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)
D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)
For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.
what is the following sum 4(5vx^2y)+3(5vx^2y)
i don’t know if that answer is right
Answer:
C
Step-by-step explanation:
Please refer to the picture above.
Assuming a =
[tex] \sqrt[5]{x}^{2}y } [/tex]
You can visualise the solution easily.
A map is to be constructed such that 1cm on the map represents 100m on ground. What
distance on the map will be used to represent 845m of road?
Answer:
the answer is 8.45
Step-by-step explanation:
845/100 *1
Find the number of real-number solutions of the equation.
2x^2 = 37
Answer:
Step-by-step explanation:
2x^2 = 37
x^2=37/2
x^2=18.5
[tex]\sqrt{x^{2} }[/tex]=[tex]\sqrt{18.5}[/tex]
x=4.301
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply. x minus 2 x minus 6 = 8 x + 12 minus x minus 4 x minus 2 x + 6 = 8 x + 12 minus x + 4 x minus 2 x minus 6 = 8 x + 12 minus x + 4 x minus 2 x + 3 = 8 x + 3 minus x + 4 Negative x minus 6 = 7 x + 8 Negative x + 6 = 7 x + 16 Negative x minus 6 = 7 x + 16 Negative x + 3 = 7 x + 7
Answer:
a e
Step-by-step explanation:
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
Given : TV ≅ WV and UV ≅ XV
To prove: ΔTUV ≅ ΔWXV
Statements Reasons
1). TV ≅ WV 1). Given
2). UV ≅ XV 2). Given
3). ∠XVW ≅ ∠TVU 3). Reflexive property
4). ΔTUV ≅ ΔWXV 4). SAS (Side - angle - side) property of congruence
Therefore, Option (2) will be the answer.
Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hours. How many hours would it take Denise to clean the house by herself?
Answer:
72
Step-by-step explanation:
Please help!!! I have no idea why, but I can’t solve these problems!!!!
Identify the LCD of the rational expressions in the equations
2/x+1 + x/x+4 = 1/2
4/x+9 + 3x/2x-1 = 10/3
I’d love it if anyone could answer both equations, but anything helps really!!!
Which of the following expressions is equivalent to 4^−3?
A. 1/-4^-3
B. -4^-3
C. 1/4^3
D. 1/4^-3
Answer:
C
Step-by-step explanation:
Evaluate.
Exact Form:
1 /64
Decimal Form:
0.015625
Please answer the questions. i will give brainiest asap
Answer:
RR' || SS'
Step-by-step explanation:
because if you look at the image you see that RR' is parallel to SS'
Select the clause from the drop-down menu to correctly complete the sentence.
Be sure to wear goggles while you swim
Choose...
..thar last word is chlorine by the way
Answer: ;otherwise, your eyes will become very irritated from the chlorine.
Step-by-step explanation: I took the test
Answer:
the answer above is right i jus took the test
Step-by-step explanation:
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram l. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer: 8.8 pounds.
Step-by-step explanation:
Hi, to answer this question, first we have to divide the total weight loss in a week (28 kg) by 7 (days in a week).
28 /7 = 4 kg per day
The group lost 4 kg each day.
Finally we have to convert the result into pounds.
Since 1 kg = 2.2 pounds
4 kg x 2.2 = 8.8 pounds.
Feel free to ask for more if needed or if you did not understand something.
la argentina se encuentra rodeada de océanos al este y al oeste??
Answer:
La República Argentina se encuentra ubicada en el extremo sureste de América del Sur. Su territorio continental americano, que abarca gran parte del Cono Sur, limita al norte con Bolivia y Paraguay, al nordeste con Brasil, al este con Uruguay y el océano Atlántico, y al sur y oeste con Chile.
The mean temperature for the first 7 days in January was 6 °C. The temperature on the 8th day was 10 °C. What is the mean temperature for the first 8 days in January?
Answer:
6.5
Step-by-step explanation:
In this question, we are tasked with calculating the mean temperature for the first 8 days.
since we we have the mean temperature for the first 7 days, the total temperature is thus 7 * 6 = 42
Now, on the 8th day, temperature is 10, this brings total temperature to 42 + 10 = 52
The mean temperature for the first 8 days ys therefore; 52/8 = 6.5
Which is another way to name ZUST?
1
0 ZTSR
OTSU
S
O ZUSR
O ZUTS
Answer:
TSU is the correct for answer
Another way to name ∠UST is ∠TSU.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
The angle mentioned in the figure is at the point S.
This angle is the smaller angle formed at the point S.
An angle can be represented in two ways, from left to right or from right to left.
Suppose, an angle is ∠ABC.
We can represent this as ∠CBA.
So, the angle represented is ∠TSU.
Hence the angle is ∠TSU.
Learn more about Angles here :
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The best player on a basketball team makes 70% of all free throws. The second-best player makes 65% of all free throws. The third-best player makes 55% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next 60 attempts. Explain.
If the best player makes 70% of all free throws, then this player would be expected to make 70% of the next 60 free throws, which is 42. (The equation that goes with this is [tex]\frac{70}{100}=\frac{x}{60}.[/tex])
Similarly, the second-best player would make 65% of 60 throws, which is 39, and the third-best player would make 55% of 60 throws, which is 33.
Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side lengths that are 1 unit does her sentment make sense?
Answer:
maybe
Step-by-step explanation:
Dora is apparently assuming the dimensions are integers. In that case she is correct.
If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.
For some perimeter P and side length x, the area is ...
A = x(P/2 -x)
Conversely, the perimeter for a given area is ...
P = 2(A/x +x)
This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.
match the width with the go given area.
Hello!
Answer:[tex]\boxed{ \bf 1.~l~=~9.25~cm;~A~=~55.5~cm^2~matches~with~the~last~option~w~=~6~cm.}[/tex]
[tex]\boxed{ \bf 2.~l~=~7.5~cm;~A~=~48.75~cm^2~matches~with~the~second~option~w~=~6.5~cm.}[/tex]
[tex]\boxed{ \bf 3.~l~=~5~cm;~A~=~44~cm^2~matches~with~the~third~option~w~=~8.8~cm.}[/tex]
[tex]\boxed{ \bf 4.~l~=~5~cm;~A~=~31.25~cm^2~matches~with~the~first~option~w~=~6.25~cm.}[/tex]
__________________________________Explanation:We already know that the formula for area of a rectangle is A = l × w.
Notice how the width and the length are being multiplied to find the area.
Well, to find the width, we must do the opposite of multiplication, which is division.
Since we already have the length, all we have to do is divide the area by the length for each of the questions.
1:
A = l × w
55.5 = 9.25 × w
[tex]\frac{55.5}{9.25}[/tex] = 6
2:
A = l × w
48.75 = 7.5 × w
[tex]\frac{48.75}{7.5}[/tex] = 6.5
3:
A = l × w
44 = 5 × w
[tex]\frac{44}{5}[/tex] = 8.8
4:
A = l × w
31.25 = 5 × w
[tex]\frac{31.25}{5}[/tex] = 6.25
5x + 2y = 34
x= - 4y - 4
Answer:
y = -3
Step-by-step explanation:
So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.
Hope this helps :)
Use this data for question #14. The results for a survey of 120 students who were selected randomly are listed below:
14. The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y? *
A. 114
B. 127
C. 143
D. 163
1) Factor the polynomial using the GCE.
2x2 + 6x
Answer:
[tex]2x(x+3)[/tex]
Step-by-step explanation:
[tex]2x^{2} +6x[/tex]
[tex]2x(x+3)[/tex]
Answer:
the anwser to your question would be 2x (x+3)
help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:
A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answer:
Approximately 87 minutes
Step-by-step explanation:
So first see how much of the reading 41 minutes is. It is 47%.
So now to find out how much 100% is, first find out how much 1% is.
Just divide by 47.
1% = [tex]\frac{41}{47}[/tex]
And then multiply by 100 to get 100%
[tex]\frac{4100}{47}[/tex]
That is 87.2340425532
Which is 87
Triangle triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation What is the scale factor of the dilation
Answer:
2
Step-by-step explanation:
The scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.
Triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation.
The height of the triangle ABC is 5 units (blocks) and the height of the dilated triangle A'B'C' is 10 units. Thus, the scale factor is,
[tex]k=\dfrac{10}{5}\\k=2[/tex]
Hence, the scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.
Learn more about the scale factor here;
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What is h(x) = 7 + 10x + x2 written in vertex form?
Answer:
h(x) = (x + 5)² − 18
Step-by-step explanation:
h(x) = 7 + 10x + x²
h(x) = x² + 10x + 7
Complete the square. (10/2)² = 25, so:
h(x) = x² + 10x + 25 − 18
h(x) = (x + 5)² − 18
Answer:
it is c on edg 2021
Step-by-step explanation:
En el supermercado pusieron las siguientes ofertas d frijol : 4kg a 100.80, 5kg a 170.50, 6kg a 260.60, 7kg a 320.40. ¿Cuál es la oferta que más conviene comprar? Explica tu respuesta:
Answer:
The first offer: 100.80 for 4kg
Step-by-step explanation:
To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:
100.80 for 4kg: 100.8/4 = 25.2 per kg
170.50 for 5kg: 170.5/5 = 34.1 per kg
260.60 for 6kg: 260.6/6 = 43.43 per kg
320.40 for 7kg: 320.4/7 = 45.77 per kg
The first offer has the smaller price per kg, so it is the best offer.
Find the area of the shape shown below.
12 5 5
Answer:
i think its 42.5
Answer:
42.5
________________________________________________________
One angle of a triangle is obtuse. The sum of the measures of the other angles must be A.more than 90 degrees B.less than 90 degrees C.equal to 90 degrees help i need this 10 points please
Answer:
B.less than 90 degrees
Step-by-step explanation:
Obtuse angle is greater than 90°
Since the sum of all 3 angles= 180°
The sum of other 2 angles less than 180°-90°= 90°
Suppose you deposit $1000 in an account paying 3% annual interest, compounded continuously. Use A=Pe^rt to find the balance after 10 years
Answer:
$1,349.8
Step-by-step explanation:
Using the formula given:
A=Pe^rt, where
A= ending amount
P= beginning amount
e= Euler’s number that is approximately 2.718
r= rate: 3%=0.03
t= time: 10 years
A= $1,000*(e^0.03*10)
A= $1,000*(e^0.3)
A= $1,349.8
According to this, the answer is that the balance after 10 years is $1,349.8.
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Show your work and explain how to solve.
Answer:
According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.
55 + 30 = 85 degrees
180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)
The m∠C in the triangle is 95° as the other two angles are 55° and 30°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Given, In a triangle, m∠A is 55° and m∠B 30°.
Therefore m∠C = 180° - 55° - 30°.
m∠C = 95°.
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Is AABC AXYZ? If so, identify the similarity postulate or theorem that
applies
Answer:
Similar-AA
Step-by-step explanation:
If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.
(p.s. This sign ~ means similar)
find the surface area
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