Answer: 11 students in each group
Step-by-step explanation: I answered the other one but u do 90 + 75 which is 165 and then divide by 15
165 divided by 15 is 11 students in each group
Triangles ABC and DEF are congruent. Which of the following must be true?
A
Angles B and D are congruent.
B
Line segments AB and BC are congruent.
C
Line segments AB and DE are congruent.
D
Angles A, B, C, D, E and F are all congruent.
Answer: Line segments AB and DE are congruent.
Step-by-step explanation:
Given : Triangle ABC is congruent to triangle DEF .
We know that if two triangles are congruent then their corresponding sides and angles are congruent.
This property of congruent triangles are also known as CPCTC (corresponding parts of congruent triangles are congruent.)
Therefore,
m∠A=m∠D
m∠B=m∠E
m∠C=m∠F
AB=DE
BC=EF
AC=DF
From the given options the only right option is line segments AB and DE are congruent.
Answer:
Step-by-step explanation:
Answer: Line segments AB and DE are congruent.
How do you solve this?
Answer:
120+5x+15+5x+15=180
10x=180-120-15-15
x=30°
Answer: 9^o
Step-by-step explanation:
(all angles in an isoceles triangle adds up to 180 degrees)
5 x + 15 + 120 = 180
5x = 180 - 120 - 15
5 x = 45
x = 9^o
What is the formula for a surface area of a rectangular prism?
Answer:
[tex]\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Step-by-step explanation:
We know that the surface area is the sum of the area of the prism's faces.
It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:
[tex]\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )[/tex]
A model has been drawn of the rectangular prism. (image)
Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:
[tex]\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})[/tex]
[tex]\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]
Learn more about surface area: https://brainly.com/question/12483725
2/3 - 3/5 = ?/15 - ?/15
Answer:
? = 6
? = 9
Step-by-step explanation:
[tex]\frac{2}{3} -\frac{3}{5} = \frac{6}{15} - \frac{9}{15}[/tex]
Hope it helped !
Btw have a nice day ! :3
Adriel
What is the surface area of a cube if it’s 15 cm 15 cm and 15 cm
Answer:
1350 sq in
Step-by-step explanation: leangth times width is 15 x 15 so the face of one side is 225 multiply this by the number of faces in this case six and you get your awnser 1350 sq in
equation that shows 3 less than the product of 4 and m
The equation that shows 3 less than the product of 4 and m is 3 < 4m
Formation of equationFormation of equation is a means of transforming statements into equations
The product of 4 and m is 4m
If 3 is less than the product of 4 and m, this is expressed as:
3 < 4m
Divide both sides by 4
3/4 < m
m > 3/4
Hence the equation that shows 3 less than the product of 4 and m is 3 < 4m
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11. a bag contains 8 red marbles, 9 yellow marbles, and
7 green marbles. how many additional red marbles
must be added to the 24 marbles already in the bag so
that the probability of randomly drawing a red marble
is
15.
a 11
b. 16
c. 20
d. 24
e. 32
To get a probability of 3/5, 16 red marbles must be added.
How many additional red marbles must be added?
There are 8 red, 9 yellow, and 7 green marbles, for a total of:
8 + 9 + 7 = 24.
The probability of getting a particular color of marble is given by the quotient between the number of marbles of that color and the total number of marbles.
Here, we want to get a probability of drawing a red marble equal to 3/5.
So, if we add x red marbles, the probability of getting a red marble will be:
P = (8 + x)/(24 + x)
And that must be equal ot 1/5, then we write:
(3/5) = (8 + x)/(24 + x)
If we multiply both sides bt (24 + x), we will get:
3*(24 + x)/5 = 8 + x
Now we can solve that for x.
3*24/5 - 8 = x - x(3/5) = (2/5)*x
x = (3*24/5)*(5/2) - (5/2)*8 = 16
So 16 red marbles must be added, the correct option is b.
If you want to learn more about probability, you can read:
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Use the information to answer the question.
John walked 32,000 steps during a training week. His weekly goal is to walk 300 more steps than he did in the previous week. Let w represent the
number of weeks after the training week.
Which expression represents the total number of steps John will walk if he meets his goal?
Answer:
Steps = 300w + 32,000
Step-by-step explanation:
Mrs. Crosby had 350 sheets of paper. She used 8 sheets of paper for a craft. She then gave each student 4 sheets of paper. Which expression represents the number of sheets of paper Mrs. Crosby had left after she gave paper to b students?
Which conclusion does the proportion support?
3/9=9/27
Answer:
x3
Step-by-step explanation:
3x3 is 9 9x3 is 27
A mixture of purple paint contains (6 teaspoons of red paint and (5 teaspoons of blue
paint. To make the same shade of purple paint using 35 teaspoons of blue paint, how
much red paint would you need? Use the double number line diagram to help if
needed.
If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
A mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.
To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be
Let x be the amount of the red color needed.
Then we have
[tex]\rm \dfrac{x}{35} = \dfrac{6}{5}\\\\\\x \ \ = \dfrac{6 \times 35}{5}\\\\\\x \ \ = 6 \times 7\\\\\\x \ \ = 42 \ spoons[/tex]
More about the ratio and the proportion link is given below.
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Vasanti has read 0.25 of the book Robinson Crusoe. If she read 0.125 of the book each day, how many more days does she need to complete reading the book?
Answer:
798 days
Step-by-step explanation:
100-0,25=99,75
99,75/0,125=798
Can someone pls pls pls pls pls pls pls solve this page for us
Answer:
Depends on the statistics.
Step-by-step explanation:
I will need to see question 2 as it says in the instructions. I need to do this as the plot is based on that question.
If there are 200 calories in 100 cubic cm, how many calories in just 1 cubic cm?
What are m 1 and m_2?
180° 115°
85
A.
21 = 30°, m 2 = 35°
B.
21 = 35°, m 2 = 30°
O
C. _1 = 65°, m_2 = 60°
=
0 D. 21 = 85°, m_2 = 80°
Answer:
D. is the correct answer tnx
How much more sand could the container hold before it overflows?
Answer:
67.5 in^3
Step-by-step explanation:
just calculate the volume
= 5 x 4.5 x 3
= 67.5 in^3
1) How do we find surface area? (What is it?)
2) What is the surface area of this pyramid?
Answer:
360 units squared
Step-by-step explanation:
10*10 = 100
10*13*2 = 260
260 + 100 = 360
The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model
The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches
What is the area of a rectangle?The area of a rectangle is the multiplication of the length and the width of the rectangle.
The area of the rectangle is expressed as:
Area (A) = length (L) × width (w)
A = l × w
Given that:
width = xLength = 2x - 7Area = 72 in ²72 = (2x - 7) × (x)
72 = 2x² - 7x
2x² - 7x - 72 = 0
Using the quadratic calculator
x = 8 or x = -9/2
However, since our length/width distance can't be negative, then:
x = 8
width = 8 inchesLength = 2(8) - 7 = 9 inchesLearn more about the area of the rectangle here:
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need help ASAP WILL GIVE BRAINLIEST
Answer:
See below
Step-by-step explanation:
It opens upwards ( bowl shaped) (vertex is on one side and focus on other with focus inside the parabola)
axis of symmetry is x = -8
vertex is (-8,0)
Find the surface area of the pyramid.
Answer:
base+B+Height
Step-by-step explanation:
Because the base which is considered the rectangle, and the "B" is considered the Area which is whatever the number is at the bottom is considered the area and the height is whatever number is one the side then you mulitply the base and height. And once you find the answer to that you divide it by 3.
Volleyball players are randomly placed on teams by spinning a spinner with four congruent, colored sections. They are assigned positions on the team by rolling a six-sided die. The team colors are red, black, green, and purple.
Which of the following is true?
A. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event affects the outcome of the second event.
B. The problem does not provide enough information to determine if the two events are independent or dependent.
C. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event does not affect the outcome of the second event.
D. Spinning the spinner and rolling the die to select teams and positions represent dependent events because the outcome of the first event affects the outcome of the second event.
wat is 5x5 divede by 8 help plsss!!!!!!!!!!!!! (100) points!!!
Answer:
25/8 = 3.125
Step-by-step explanation:
Answer:
5 × 5 ÷ 8 = 3 ¹/₈
Step-by-step explanation:
Using the order of operations we need to work from left to right.
Therefore we should carry out the multiplication first.
5 × 5 means "5 lots of 5"
⇒ 5 × 5 = 5 + 5 + 5 + 5 + 5 = 25
Now we need to divide 25 by 8.
8 + 8 + 8 = 24
Therefore, 8 goes into 25 three times with a remainder of 1.
So, 5 × 5 ÷ 8 = 3 ¹/₈
a teacher tells her students she is just over 1 and 1/2 billion seconds old. Write her age in seconds using sci not. what is a more reasonable unit of measurement for this situation? How old is she when you use a more reasonable unit of measurement.
Words Decimal Representation Scientific Notationten million 10,000,000 1 x 107one hundred million 100,000,000 1 x 108one billion 1,000,000,000 1 x 109ten billion 10,000,000,000 1 x 1010
Please help me!!!!!!!!
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Notes }}}[/tex]
✟ Now let ✟➣Let these two parallel line be p and q➣ and angle "x + 22" be a➣ and angle "2x-13" be b[tex] \rule{70mm}{2.9pt}[/tex]
[tex]\underline{ \boxed{ \sf{✰ \:Concept \: used }}}[/tex]
➣ Here given two lines are parallel and also know as transversel➣ angle a and b are same side interior angle➣ and given two angle are supplementary➣ and sum of supplementary angle is of 180⁰➣ soo the equation formed is a+b =180⁰[tex] \rule{70mm}{2.9pt}[/tex]
★ Now let's solve according to concept[tex]\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ More info ★ ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.➣Transversal :-A line which traverses or intersects any system of other lines transversely.➣ Interior angles :- The inner angle between two sides[tex] \rule{70mm}{2.9pt}[/tex]
✠ Hence ✠
[tex] { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
a ships pilot knows that a building on the coast is 100 meters tall. if he finds the angle of elevation to be 2 degrees how far is the ship from the costline ?
Answer:2863.6ft
Step-by-step explanation: x=100/tan2 makes the awnser.
Anybody want to help with math?
10 + 23 / (4 + 1 + 10) - 200 + 365
Ty :)
Answer:
176.53
Step-by-step explanation:
All i didnwas just solve the math on paper and u could use a caculator
Answer:
33/-550
Step-by-step explanation:
Add
Hope it help
What is the value of 4’3 divided by 2’3
7
16
2
8
8
Done →
Hey there!
ASSUMING:
4^3 / 2^3
IF SO:
4^3 / 2^3
= 4 * 4 * 4 / 2 * 2 * 2
= 16 * 4 / 4 * 2
= 64 / 4
= 64 ÷ 2 / 8 ÷ 2
= 32 / 4
= 32 ÷ 4
= 8
Therefore, the answer should be: 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
An Olympic pool is rectangular with a length of 50 meters. Ms Burri wants to fit an Olympic pool in her backyard but doesn't have enough room so she plans to build a similar pool with a length of only 30 meters.
a. She wants to replace the pool deck around her new smaller pool. What is the ratio of the perimeter of the Olympic pool to the new smaller pool?
b. The area of the olympic pool is 1,2500 meters squared. If she were to buy a pool cover to fit her brand new smaller pool, what would the area be?
Perimeter of older
2(50+W)100+2WPerimeter of newer
2(30+W)60+2WAs w is constant cancel it
Ratio
100/605/3Ratio of area is also same
So
5/3=12500/x5x=37500x=37500/5x=7500m²Answer:
See below ~
Step-by-step explanation:
Finding perimeter of Olympic pool and regular pool :
P (olympic) = 2(l + w) = 2(50 + w) = 2w + 100P (regular) = 2(l + w) = 2(30 + w) = 2w + 60Taking the ratio :
2w + 100 : 2w + 60100 : 605 : 3Using ratios to find area of regular :
5 : 3 = 12,500 : aa = 12500/5 x 3 = 2500 x 3a = 7,500 m²Use the net to find the surface area of the regular pyramid. (OPEN TO SEE PICTURE) PLS ITS URGENT
By the combined area of the triangles and the base. The total surface area of the regular pyramid would be 197.1 ft^2.
What is the area of the triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
we need to find the areas of each triangle in the pyramid.
The area of base = 15.6
The area of each outer triangle = 1/2 x 9 x 12
= 54
There are 3 triangle
3 x 54 = 162
The total area will become
162 + 35.1
= 197.1
Therefore, The total surface area of the regular pyramid = 197.1 ft^2
Learn more about the area of a triangle here:
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