A square is also a rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90° each, opposite sides that are parallel and equal, and many more attributes as well. Keep in mind however that a square is a special type of rectangle because it posseses some additional properties which don't apply to normal rectangles like the fact that all four sides of a square are equal, and diagonals of a square bisect each other at right angles.
I hope this helps! <3
Answer:
Step-by-step expl
A square is also a rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90° each, opposite sides that are parallel and equal, and many more attributes as well. Keep in mind however that a square is a special type of rectangle because it posseses some additional properties which don't apply to normal rectangles like the fact that all four sides of a square are equal, and diagonals of a square bisect each other at right angles.
Distribute
-3/7 (21x - 7)
Answer:
-9x+3
Step-by-step explanation:
See the steps below:)
Select the correct difference.
-3z^7- (-5z^7)
I can't seem to figure this out
Answer:
c. 4
Step-by-step explanation:
tan (30)/1 = x/7 *cross multiply*
x = 7 (tan(30))
x = 4.04
x = 4
what are prime factors i cant understand
Find the value of x in the figure.
A. 18
B. 33
C. 35
D. 41
Answer:
D 41
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180 degrees.
so, we have already 35 for one angle, that leaves 145 for the other two.
x + 2 + 2x + 20 = 145
3x + 22 = 145
3x = 123
x = 41
Find an equation for the perpendicular bisector of the line segment whose endpoints
(5, -3) and (-7, -7).
are
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3, etc.)1) Determine the midpoint of the line segment
When two lines bisect each other, they intersect at the middle of each line, or the midpoint.
[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex](\frac{5+(-7)}{2} ,\frac{-3+(-7)}{2} )\\(\frac{-2}{2} ,\frac{-10}{2} )\\(-1,-5)[/tex]
Therefore, the midpoint of the line segment is (-1,-5).
2) Determine the slope of the line segment
Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex]\frac{-7-(-3)}{-7-5}\\\frac{-7+3}{-7-5}\\\frac{-4}{-12}\\\frac{1}{3}[/tex]
Therefore, the slope of the line segment is [tex]\frac{1}{3}[/tex]. The negative reciprocal of [tex]\frac{1}{3}[/tex] is -3, so the slope of the perpendicular is -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
3) Determine the y-intercept of the perpendicular bisector (b)
[tex]y=-3x+b[/tex]
Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into [tex]y=-3x+b[/tex] and solve for b:
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept of the line is -8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x-8[/tex]
I hope this helps!
Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
hypotenuse to the nearest tenth of a meter.
Draw a picture
Solve the problem. Show your work!
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
During a school event Mario is selling pizza at a stand for $ 2.50 per slice. How many slices of pizza would Mario have to sell to earn $195? Explain your reasoning.
Answer:
78 slices
Step-by-step explanation:
195/2.5=78
Answer:
78
Step-by-step explanation:
195/2.5=78
he will need to sell 78 pizzas in order to get $195
I need the answer. Please help.
===========================================================
Work Shown:
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(61) = AC/1
tan(61) = AC
AC = tan(61)
AC = 1.80404775527142
AC = 1.8
The river is about 1.8 miles wide between points A and C.
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.
Every 10th student was chosen from the cafeteria line to answer a question about pets. This is an example of:
A)Simple Random Sample
b)Convenience Sample
C)Systematic Random Sample
D)Voluntary Response Sample
Answer:
C)Systematic Random Sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
Every kth element(in this exercise 10th) is systematic sample. So the answer is given by option c.
Lucy and Alicia planned to sell 128 glasses (cups) of lemonade,
How many gallons of lemonade would they need to make?
Lucy and Alicia should be planning to make 8 gallongs of lemonade.
If this helps, please mark brainliest!
Have a wonderful day!
Help i dont know how to do this type of questions
Answer:
x = 28°
y = 23°
Step-by-step explanation:
5y - 4 + 3y = 180
solve for y
8y = 184
y = 23
3y and 2x + 13 are equal
solve for x now that we know y is 23.
3(23) = 2x + 13
69 = 2x + 13
56 = 2x
28 = x
Answer:
y=23 x=28
Step-by-step explanation:
5y-4 + 3y =180⁰
8y-4=180
8y=184
y=23
3y=2x+13
69=2x+13
-13 -13
56=2x
28=x
Hope this is helpful. good luck
Uhm does anyone know what 8x is as an coefficient?
Answer:
yes 8x is a coefficient
Step-by-step explanation:
because I know but if I'm wrong than sry
24% of what is 25? Round to the nearest tenth.
PLEASE HELP ASAP
What is the approximate value of sin e when cose = -0.8 is
A.-1.67
B.-0.6
C.0.6
D.1.67
What the correct answer
Answer:
I probably think it's A..
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are:
Answer:
The null hypothesis is [tex]H_0: \mu = 16.1[/tex].
The alternate hypothesis is [tex]H_1: \mu < 16.1[/tex]
Step-by-step explanation:
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces.
This means that at the null hypothesis, we test if the mean amount of juice is of 16.1, as claimed, that is:
[tex]H_0: \mu = 16.1[/tex]
A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.
This means that at the alternate hypothesis, we test if the mean amount of juice is less than the claimed mean of 16.1 ounces. So:
[tex]H_1: \mu < 16.1[/tex]
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
arc AB = 144°/360° x 2π x 10
= 2/5 × 20π = 8π
A bag of marbles only has red and blue marbles. The bag has a ratio of blue marbles to red marbles of 3:5, and there are 24 blue marbles in the bag. What is the total number of marbles in the bag?
Answer:
64 marbles
Step-by-step explanation:
24 ÷ 3 = 88 × 5 = 40 (40 total red marbles)40 + 24 = 64The solution is, 24 is the total number of marbles in the bag.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
A bag of marbles only has red and blue marbles.
The bag has a ratio of blue marbles to red marbles of 3:5,
and there are 24 blue marbles in the bag.
we have to find the total number of marbles in the bag.
let, there are x red marbles .
we have,
blue marbles : red marbles = 3:5
so, we get,
blue marbles : red marbles = 24 : x
i.e. 3:5 = 24 : x
so, x = 24 * 5 / 3
or, x = 8*5
or, x = 40
so, there are 24 red marbles .
so, total = 24 + 40 = 64
Hence, The solution is, 24 is the total number of marbles in the bag.
To learn more on ratio click:
brainly.com/question/13419413
#SPJ2
Ashley's purchasing school uniforms for children if the cost of the uniforms is $136.50 if there is 8% sale tax in the community how much sales tax in dollars will she pay?
Answer:
10.92
Step-by-step explanation:
136.5*(8/100)that is tax
Answer:10.92
Step-by-step explanation:
answer this please .
Answer:
[tex] \frac{3}{5}x + 2 = \frac{2}{3} x[/tex]
[tex]2 = \frac{2}{3} x - \frac{3}{5} x[/tex]
[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]
[tex]2 = \frac{1}{15} x[/tex]
[tex]x = 2 \times 15[/tex]
[tex]x = 30[/tex]
Your answer is x=30
If you are helped with my answer pls tag me brianliest I really want it....... Plzz
THANK YOU......
What is the probability of rolling a six-sided number cube and getting an odd number or a number less than 4?
Answer:
[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- roll of a die
[tex]n(S) = 6[/tex] ---- the sample size
[tex]Odd = \{1,3,5\}[/tex]
[tex]<4 = \{1,2,3\}[/tex]
Required
[tex]Pr(Odd\ or\ <4)[/tex]
First, list out the event of odd or <4
[tex]Odd\ or\ <4 = \{1,2,3,5\}[/tex]
So, the probability is:
[tex]Pr(Odd\ or\ <4) = \frac{n(Odd\ or\ <4)}{n(S)}[/tex]
[tex]Pr(Odd\ or\ <4) = \frac{4}{6}[/tex]
Simplify
[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]
2(b+14) = -7 (1 - b) solve
Answer:
Step-by-step explanation:
2(b+14)=-7(1-b)
2b+28=-7+7b
28+7=7b-2b
35=5b
35/5=b
7=b
okay so a circle has half a line of 11 in. , what's the circumference and area?? i'm not good at math and so confused
Answer:
C = 69.12 in.
A = 380.13 in.²
Step-by-step explanation:
Circumference of a circle is the length around the circle.
Circumference, C = 2πr
where,
Radius (r) = 11 in. (Given)
To find the circumference, substitute r = 11 into the circumference formula
C = 2*π*11
Input this into your calculator, you would get:
C = 69.1150384
C = 69.12 in. (Approximated to nearest hundredth)
Area = πr²
Plug in the value of r
A = π*11²
A = 380.132711
A = 380.13 in.² (to nearest hundredth)
What are the distance between the pair of points E(-5,4) and F(6, 4)
Answer:
The distance is 11 units.
Step-by-step explanation:
First you look at the difference between the x values and then you look at the distance between the y values. Since the x values here are -5, and 6 then you count the distance between -5 and 6. This would be 11 since 6 is 6 units away from 0 and -5 is 5 units away from 0. Since the y values are the same then the distance will just be the distance between the x values.
Carlos is making a model pyramid for a history project. A net of his pyramid is
shown. What is the lateral surface area of the pyramid?
9514 1404 393
Answer:
60 cm²
Step-by-step explanation:
The lateral surface area is the area of the four blue triangles. Each one has an area of ...
A = 1/2bh
A = 1/2(6 cm)(5 cm) = 15 cm²
The lateral surface area is 4 times the area of one triangle, so is ...
LA = 4(15 cm²) = 60 cm²
Select the correct answer from each drop-down menu.
A quadrilateral has vertices A{11, -7), 89,-4), (111, -1), and D13,-4).
Quadrilateral ABCD is a
If the vertex c (11, -1) were shifted to the point c(11,1) quadrilateral Abcd would be a
Answer:
A non-equilateral rhombus.
Step-by-step explanation:
We can solve this graphically.
We start with square:
ABCD
with:
A = (11, - 7)
B = (9, - 4)
C = (11, - 1)
D = (13, - 4)
Only with the vertices, we can see that ABCD is equilateral, as the length of each side is:
AB = √( (11 - 9)^2 + (-7 -(-4))^2) = √( (2)^2 + (3)^2) = √(4 + 9) = √13
BC = √( (11 - 9)^2 + (-1 -(-4))^2) = √13
CD = √( (11 - 13)^2 + (-1 -(-4))^2) = √13
DA = √( (11 - 13)^2 + (-7 -(-4))^2) = √13
And we change C by C' = (11, 1)
In the image you can see the 5 points and the figure that they make:
The figure ABCD is a rhombus, and ABC'D is also a rhombus, the only difference between the figures is that ABCD is equilateral while ABC'D is not equilateral.
Adil ran 5 rounds of a square ground of side 70 m. Find the total distance
he ran.
Answer as soon as possible my answer is 350
Answer:
Step-by-step explanation:
Calculate perimeter first
70 x 4 = 280
1 lap is 280m
Adil ran 5 laps so:
5 x 280m = 1400m
please help asap!!!!
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
if you were to roll a dice one time what is the odds of rolling a number less than three?
Answer:
1/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. On a fair die, the number are 1 to 6 while 1 and 2 are the only numbers less than 3.
Hence the odds of getting a number is the ratio of 6 to 6 while the odds of getting a number lower than 3 will be
= 2/6
= 1/3 (in the lowest term)
This is because the odd of getting 1 is 1/6 and the odd of hetting 2 is 1/6 9 recall that both numbers appear once on a die). Hence the odd of getting 1 or 2 will be
= 1/6 + 1/6
= 2/6
=1/3