Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
3 (4 minus y) minus 7; 5 + 3 y
9 + y + 4 y minus 2 minus 3 y; Negative 2 y + 7
5 + y minus 2 minus 6 y + y; 8 y + 3
2 y + 7 + y minus 2 + y; 4 y + 5
Answer:
The Answer is D
Step-by-step explanation:
just took the quiz :p
Answer:
I believe the answer is D!
Step-by-step explanation:
I hope this helps ^w^
write (x^2)^4 without exponents
Answer: x8 i really don't know if it is correct tell me plz
Step-by-step explanation:
The expression (x²)⁴ without exponents can be written as x × x × x × x × x × x × x × x.
The given expression is (x²)⁴.
It is known that the power rule of exponents states that:
(xᵃ)ᵇ = xᵃᵇ
Here, a = 2 and b = 4.
So using the power rule,
(x²)⁴ = x²⁽⁴⁾
= x⁸
Now, it is known that exponents are actually the multiplication of the number with the same number again and again.
Here x is multiplied by itself 8 times.
So the expression can be written as:
x × x × x × x × x × x × x × x.
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The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle
Answer:
45 , 135
Step-by-step explanation:
LET ONE ANGLE BE x AND OTHER ANGLE BE 45+2x
since they are supplementary angles ,
x+2x+45=180
3x = 180 -45
3x = 135
x = 135/3
x =45 degree
therefore measure of one angle = 45 degree and other angle angle = 2*45+45 = 90+45 = 135 degree
hope it helps
find the x to the nearest tenth
Answer:
It is 7.2 because if you imagine moving the 6 line in the other you can see the 9.2 is too long.
Step-by-step explanation:
(05.01 LC)
Look at the figure shown below:
A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is e
Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.
Statement Reason
1. Segment ST is parallel to segment QR Given
2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent
3. Angle SPT is congruent to angle QPR Reflexive property of angles
4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate
5. (2x + 28):95 = Corresponding sides of similar triangles are in proportion
Which of the following can she use to complete statement 5? (1 point)
28:95
28:35
60:95
60:35
Answer:
28:35
Step-by-step explanation:
Since Rita is trying to prove that the two triangles are similar, she will be looking for corresponding sets of sides that have an equivalent ratio. Therefore, since for the big triangle she uses sides PQ and PR, the corresponding sides on the smaller triangle would be PS and PT, which have a ratio of 28:35. Hope this helps!
The statement is completed by 28 :35, the correct option is B.
What are Similar Triangles?Two triangles of the same shape are said to be similar when their corresponding sides are proportional.
The triangle RPQ
The length of PS is equal to 28
The length of SQ is equal to 2x
The length of PT is equal to 35
The length of TR is equal to 60
The triangles SPT and QPR are proved to be similar in Step 4 by the property that corresponding sides of similar triangles are in proportion.
(2x + 28):95 =28 :35
Therefore, the statement is completed by 28 :35, the correct option is B.
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A student translated the phrase below into an algebraic expression, and then evaluated if for y = 24. Is the studer
work correct?
The difference of a number and 6; evaluate when y = 24:
24
The expression is \. For y = 24,
Y
6
= 4
6
6
ООО
No, the student wrote a division expression instead of a subtraction expression.
No, the student simplified the fraction incorrectly.
No, the student made an error when substituting.
Yes, the student's work is correct.
Answer:No, the student wrote a division expression instead of a subtraction expression
Step-by-step explanation:
Answer:no, a student wrote a division expression instead of a subtraction expression
Step-by-step explanation:i got it right on edegunity
How can we classify the triangles based on the length of the sides?
Answer:
They are the same so it'd be isosceles
Step-by-step explanation:
Hope this helps!!!
Answer:
There are Equilateral, Isosceles and Scalene triangles
Step-by-step explanation:
When all three sides of a triangle are all the same length, it is a equilateral triangle. When only 2 of the sided are the same length, it is a isosceles triangle. When none of the sides are the same, it is scalene.
9 students can make a poster in 10 hours. How many students should join them so that they altogether can make this poster in 6 hours?
Answer:
6
Step-by-step explanation:
The work involved in making the poster is the product of students and hours:
work = students × hours = (9 students)(10 hours) = 90 student·hours
__
neededIf hours are reduced to 6, the necessary number of students is ...
90 student·hours = (6 hours)(students)
(90 student·hours)/(6 hours) = 15 students . . . . . . divide by 6 hours
additionalIf 15 are needed, then the number that must be added is ...
15 -9 = 6 . . . . students need to be added
What is the equation of a line that passes through points (0, 4) and (-4, -8)? y = 2x + 4 y = 2x - 4 y = 3x + 4 y = 3x - 4
Answer:
y= 3x +4
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
To find the value of m, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Gradient
[tex] = \frac{4 - ( - 8)}{0 - ( - 4)} \\ = \frac{4 + 8}{0 + 4} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation.
y= 3x +c
To find the value of c, substitute a coordinate.
When x=0, y=4,
4= 3(0) +c
c=4
Thus, the equation of the line is y= 3x +4.
6(3p – 1) = 84 can you help me with this question please? i am struggling to explain this to my son. thanks in advance.
On photos i showed 2 ways of possible solutions
Answer: p=5
Step-by-step explanation:
6(3p-1)=84
You can now do it two ways. This is the first way:
Divide by 6 so the equation now writes:
3p-1= 14
Then add the one onto the other side.
3p=15
Then divide 15 by 3
P=5
The other way is to expand the brackets first.
18p-6=84
Then add the 6 onto the other side.
18p=90
Then divide 90 by 18.
P=5
This is a bit more complex so I recommend the first way. Hope you can now explain to your son. Have an amazing day!
Expand (a + 4)(a – 3) by using the FOIL method.
Justin used 42 centimeters of tape to wrap 14 presents. How many presents did Justin wrap if
he used 45 centimeters of tape? Solve using unit rates.
__ presents
Answer:
15 presents
Step-by-step explanation:
42 cm / 14 presents = 3 cm / 1
3cm / 1 presents = 45 / 15
Answer:
15 presents
Step-by-step explanation:
Since we are using unit rate, we have to find out how many centimeters he uses for 1 present. Therefore 42÷14=3 So he uses 3 centimeters of paper for 1 present. Since he used 45 centimeters of paper we divide that by 3 to see how many presents is in 45 centimeters. When dividing the answer is 15. Therefore he wraps 15 presents
Find an ordered pair (x, y) that is a solution to the equat
4x - y = 7
Answer:
(0,-7),(1,-3),(2,1)
Step-by-step explanation:
An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine and cosine of this angle.
Answer:
We know that, for a right triangle:
Cos(A) = (adjacent cathetus)/hipotenuse
sin(A) = (opposite cathetus)/Hipotenuse.
If we are in a right triangle inside the unit circle, we have that hypotenuse = 1.
Now, when you draw the unit circle, now from the center of the axis you must draw a straigth line (that forms an angle of 120° with the x-axis), and in the point where it cuts the unit circle we do 2 things.
from this point, you can draw a parallel line to the y-axis, the point where this line touches the x-axis is the value of the cosine.
Now you draw a line that is parallel to the x-axis (remember that the line must pass trough the point of before), the point where this line cuts the y-axis is the value of the sine
You should get:
sin(120°) = 0.87
cos(120°) = -0.5
A park near Raphael’s home is shaped like a trapezoid.
To find its area, Raphael walked along the short base and measured it.
Then he walked at a right angle and measured the distance to the other side of the park.
Finally he measured the long distance of the base.
Use Raphael’s measurements shown below to find the area of the park.
Enter your answer in the box.
A trapezoid with short base one hundred forty-five yards, long base two hundred twenty-five yards, and height eighty yards.
Answer:
14800
Step-by-step explanation:
To find the area of a trapezoid you and the little base and the big base. then divide the answer by two. Then you multiply the answer you just got by the height.
Equation:
145+225=370
370/2=185
185*80=14800
Area of the park is 14800 square yards
What is Trapezoid?A quadrilateral with at least one pair of parallel sides is called Trapezoid
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Short base a = 145 yards
Long base b = 225 yards
Height h = 80 yards
Area of the park = [tex]\frac{a+b}{2}h[/tex]
Area of the park =[tex](\frac{145+225}{2})80[/tex] = 14800 square yards
Hence, the area of the park is 14800 square yards
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1. Triangle ABC is dilated by a scale factor of 1.5 to create triangle A'B'C'. Which of
the following it not a true statement?
Answer:
d
Step-by-step explanation:
because it gets bigger so they are not going to have the same measures or lenghts.
The statement that is not true about the dilation is (c) the segment AB is congruent to the segment A'B
How to determine the false statement?When a shape is dilated, the orientation of the shapes is preserved but the side lengths of the shapes are not congruent
This means that the side lengths of triangle A'B'C are not congruent to triangle A'B'C
Hence, the statement that is not true about the dilation is (c) the segment AB is congruent to the segment A'B
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. After reading to a kindergarten class at the library, Tobey gives out stickers. He has 9
zoo animal stickers and 16 scratch-n-sniff stickers. If Tobey gives the stickers out at
random, what is the probability that the first child gets a scratch-n-sniff sticker and
the second child gets a zoo animal sticker?
Answer:
If Tobey gives the stickers out at random, what is the probability that the first child gets a scratch-n-sniff sticker and the second child gets a zoo animal sticker?
P(zoo 2nd | scratch 1st) = (9/25)(16/24) = (9/25)(2/3) = 6/25
The ratio of the number of students at the zoo in the morning to the number of students at the zoo in the afternoon was 5:3. There were 145 students at the zoo in the morning. What was the number of students at the zoo in the afternoon?
Answer:
87 in the afternoon
Step-by-step explanation:
morning: afternoon
5 3
There were 145 in the morning
145/5 =29
Multiply each side by 29
morning: afternoon
5*29 3*29
145 87
There are 87 in the afternoon
The area of a square lawn is 169 yd2. What is the length of each side of the lawn?
Answer:
13 yd
Step-by-step explanation:
The area of a square is the square of the side length, so the side length is the square root of the area.
s = √(169 yd²) = 13 yd
Plz help. I am very stuck. Its due today and I have none to ask help to.
Answer:
Hi there!
The correct answers for the question are:
For 45 mph, the trip time is: 9.78
For 55 mph, the trip time is: 8.36
For 65 mph, the trip time is: 7.38
Step-by-step explanation:
The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"
Answer:
For 45 mph the trip time is 9.78 For 55 mph the trip time is 8.36 For 65 mph the trip time is 7.38
Step-by-step explanation:
Make Me brainliest
Question 2
The measures of two supplementary angles are in the ratio of 2: 3. Find the measurements of the two angles.
Question 3
In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.
Answer:
1 ) m∠ 1 = 72°, m∠2 = 108°,
2 ) m∠ 1 = 22.5°, m∠2 = 67.5°
Step-by-step explanation:
Question 2 ) Assuming these are supplementary angles, we know that their measures form a linear pair that add to 180°;
let us assign these angles as 1, and 2 ⇒ m∠ 1 + m∠ 2 = 180,
with the given ratios 2 to 3, we can say x ⇒ one part of measure, so that ⇒ 2x + 3x = 180,
2x + 3x = 180 ⇒ combine like terms,
5x = 180 ⇒ divide either side by 5,
x = 36°
If this is so, m∠ 1 = 2x = 2 * ( 36 ) = 72°, and m∠ 2 = 3x = 3 * ( 36 ) = 108°;
Solution; m∠ 1 = 72°, m∠2 = 108°
Question 3 ) If it is known that two angles are complementary to one another, we can say their measures add to 90°;
let us one more, assign these angles as 1 and 2 ⇒ m∠ 1 + m∠ 2 = 180,
knowing that the measure of one angle is 3 times that of the other angle we can derive the ratio 1 : 3 in the manner smaller ∠ measure : bigger ∠ measure so that ⇒ x + 3x = 90,
x + 3x = 90 ⇒ combine like terms,
4x = 90 ⇒ divide either side by 4,
x = 22.5
If this is so, m∠ 1 = x = 1 * ( 22.5 ) = 22.5°, and m∠ 2 = 3x = 3 * ( 22.5 ) = 67.5°;
Solution; m∠ 1 = 22.5°, m∠2 = 67.5°
GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh
Answer:
is D i had this on my math test
Step-by-step explanation:
Answer:
the area is 20 units
Step-by-step explanation:
if you plot the points then draw the rectangle then you count the amount on each side and multiply 4 times 5
Alan has read 80% of a book. He has 4 more pages to finish. How many pages are there in the book?
Answer:
20 pages
Step-by step:
4 pages = 20%
20(5)=100 so 4(5)= 100% of the book
4(5)= 20
the book has 20 pages.
Answer:
20 pages
Step-by-step explanation:
If 100%-80%=4 pages
then 20%=4 pages (multipy both sides by 5)
100%=20
20 pages
BRAINLIEST!!!
2. Use the unit circle to find the value of cot (–90°).
Answer:
cot(- 90)° = 0
Step-by-step explanation:
Using the identity
cot x = [tex]\frac{cosx}{sinx}[/tex] , then
cot(- 90)° = [tex]\frac{cos(-90)}{sin(-90)}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
Please answer CORRECTLY !!!! Will mark brainliest !!!!!!!!
Answer:
Step-by-step explanation:
4u + 8v = -3u + 2v
7u + 8v = 2v
7u = -6v
h(u) = -6v/7
Please help me with the question below!! PLEASEEEE
Answer:
32
Step-by-step explanation:
22 + 44 + 24 + 78 = 168
200 - 168 = 32
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answer:
43%
Step-by-step explanation:
A cylindrical container contains some sand as shown below. How much more sand must be added for the container to be half full? Use 3.14 for pi.
785 cubic inches
392.5 cubic inches
235.5 cubic inches
157 cubic inches
Answer: 785 cubic inches
Step-by-step explanation:
2πR + 2πR is the equation.
2π(5)^2 + 2π(5)(10)
50π + 200π
250 (3.14)= 785 inches cubed
I strongly believe this answer is correct, hope it helps.
PLEASE HELP
Find the diameter of the object.
Answer:
d the diameter is 4 inches.
Step-by-step explanation:
d=2r=2×2=4
What is the surface area of the pyramid?
24 Square feet
37 square feet
39 square feet
69 square feet
Answer:
39
Step-by-step explanation:
square= lw
triangle= 1/2lw
s=9
triangle=15 divided by 2 times 4=30
you add 30 + 9 which will give you 39