Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. What type of quadrilateral is formed?
Answer:
A rectangle
Step-by-step explanation:
The given parameters are;
The quadrilateral ABCD is a rhombus;
The length of the sides of the rhombus = 12 inches
The lengths of the sides of a rhombus are equal
The opposite interior angles of the rhombus are equal
The length of each midpoint from the vertex = 12 in./2 = 6 in.
Therefore, we have;
The line joining the midpoints form a quadrilateral with the length of the opposite sides equal
The sum of the interior angles of the rhombus = 180°
From the diagram created with Microsoft Visio, we have;
4·a + 4·b + 360 = 4 × 180 = 360 + 360
4·a + 4·b = 360
a + b = 90°
We have;
The interior angles of the quadrilateral formed = x
a + b + x = 180° Sum of angles on a straight line
∴ x = 180° - (a + b) = 180° - 90° = 90°
x = 90°
Therefore, the interior angles of the quadrilateral formed = 90°
The quadrilateral formed having equal opposite sides, and all interior angle of 90° each is a rectangle
Whitch expression is equivalent to 7 to the 3rd power? 7*7*7. Or 21. Or. 3 to the power of. Or. 10
Answer:
7x7x7
Step-by-step explanation:
What is the volume of a hemisphere with a radius of 2.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
36.81
Step-by-step explanation:
V= (2/3)pir
Answer:
36.8 m^3
Step-by-step explanation:
Suppose you roll two fair, six-sided dice and record the sum of the numbers that appears on top. What is the probability that you roll an 4
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1/3 chance
Explanation: If you have a 1/6 chance of rolling a four, and then you role two die, you now have two 1/6 chances, meaning you have 1/6 + 1/6, AKA, 1/3 chance
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Chau made $105 for 7 hours of work.
At the same rate, how much would he make for 13 hours of work?
Answer:
$195
Step-by-step explanation:
102/7 = $15/hour
15 x 13 = $195
Si al doble de 3,4 se le resta el triple de 4,3 resulta
Answer:
I would help you but I can't read the question.
Step-by-step explanation:
Help plz
What different and similar between Rectangle and square
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 4 cos 5θ
Answer:
It's symmetrical to the origin
Step-by-step explanation:
Use desmos for further graphing
Name an event that has a probability of 2/7
Answer:
2/7
Step-by-step explanation:
7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?
If a circle has a diameter of 8cm, what is the radius of this circle?
Answer:
r=4cm
d Diameter
cm
d
r
r
r
d
d
C
A
Unit Conversion:
d=8cm
Using the formula
d=2r
Solving forr
r=d
2=8
2=4cm
Step-by-step explanation:
Adrien and his family are enjoying a vacation in the wild west. One place they really want to visit is the Grand Canyon. The total distance they will drive is 400 miles. If they have already driven 280 miles, what percent have they driven?
Answer:
70%
Step-by-step explanation:
Kata gets on a moving walkway at the airport. Then, 8 s after she gets on, she taps Lisa, who is standing alongside the walkway. The graph shows Kata's distance from Lisa over time. Calculate the rate of change in her distance from Lisa from 6 s to 8 s, and then from 8 s to 12 s. What do the rates of change mean in terms of Kata’s movement?
The average rate of change over each interval is given as follows:
6 s to 8 s: -1 ft/sec.8 s to 12 s: 2.5 ft/sec.The meaning of these rates is that Kata was behind Lisa, then met her after 8 seconds and started distancing herself.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The numeric values for the function are given as follows:
d(6) = 2.d(8) = 0.d(12) = 10.Then the rates are calculated as follows:
6 s to 8 s: (0 - 2)/(8 - 6) = -1 ft/sec.8 s to 12 s: (10 - 0)/(12 - 8) = 2.5 ft/sec.Missing InformationThe graph is given by the image presented at the end of the answer.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
#SPJ1
Please help me with this, it's urgent and due tonight (Ylasterdev125 do not try to answer this with your petty virus file)
Answer:
domain is (-1 , 2) and the range is (0 , 4)
I need help with this problem, if you could describe how to do it thats fine aswell, but im a little confused with this
Answer:
That it's confusing to you is understandable, these problems are confusing, They take a bunch of real world things and put it into abstract concepts. The graph of the line is just that, an idea of how math represents the cost of the milk.
Step-by-step explanation:
the graph you are given is a straight line, not all graphs are straight lines, but b/c it's a straight line we get to "categorize" it as linear. linear graphs are nice to work with, as compared to curvey ones. aka non-linear. There are a few famous formulas that go along with linear graphs. Remember graphs are just representations of info in a way that we can use math to understand that real thing in abstract ways.
the problem asks what is the slope of the line. Think of the idea of a mountain slope here, when we look at the graph.. and move over it like we would read, from left to right, the graph moves up hill.. or positive, so this graph is a positive slope graph. now we just need to figure out a way to say that with numbers.
often times slope is represented with the variable 'm' . why 'm' you ask? it's just a convention, it's not important which letter you use to represent slope but by convention we use 'm' There is a formula for slope that goes like this,
m = (y2-y1) / (x2-x1)
we can use that to find the slope of this line, but we already know it's positive just by quickly looking at the graph.
the x's and y's in the formula are the x and y points of some exact point on the graph that we can find just by looking at the graph. :) yes we get to make our own points. P1 and P2 ( point 1 and point 2)
somebody has already made two nice black dots, on your graph for you, let's use those two black dots, you don't have to, but those do look convenient. :)
using those two black dots and going from left to right.. I see the 1st point as P1 = (x1,y1) =( 2,10) and the second point as P2 = (x2,y2) = (4,20)
then plug those into the above fomula
m = (20-10) / (4-2)
m = 10 / 2
m = 5
yep, it's positive and steep up , that the answer to (a)
for (b)
we just need the formula called the point slope
y = mx + b
since we know m
y = 5x + b
for use b = 0
so just
y = 5x
now plug in x= 1/2, for the 1/2 gallon of milk
y = 5(1/2)
y = 2/5
that's (b) :)
find the value of given expression
[tex] \sqrt{2 - 1} [/tex]
Answer:
Answer is 1 I hope this help
Please help me on 4 and 5
Answer:
there is nothing there
Step-by-step explanation:
Answer:
what's the question ?
.
.
.
Write a rational number between -1to0
You can download answer here
tinyurl.com/wpazsebu
Problem PLS HELP MY GRADES GOING DOWN
Answer:
$248
Step-by-step explanation:
given:
4 deposits
$62
solve:
4 × $62= $248
Answer:
$248
Step-by-step explanation:
You can answer it two ways:
1) add 62 + 62 + 62 + 62 = 248
2) multiply 4 * 62 = 248
Answer: $248
#6thgrademath help
At the music store Katelyn bought 2 packs of
guitar strings and a music book. The book cost
$18.00. Her total purchase was $46.00. How
much is one pack of strings?
Helppppp pleaseeeee I don’t knowwww
The rectangle below has an area of 81-x^281−x
2
81, minus, x, squared square meters and a width of 9-x9−x9, minus, x meters.
Answer:
1
Step-by-step explanation:
1x1
Which equation represents a linear function
Answer: B
Step-by-step explanation:
The dimensions of a right rectangular prism are 8/5 cm, 10/3 cm, and 7/4 cm. What is the volume of the prism?
Answer:[tex]9.33\ cm^3[/tex]
Step-by-step explanation:
Given
The dimension of the prism is
Length [tex]l=\frac{8}{5}\ cm[/tex]
width [tex]w=\frac{10}{3}\ cm[/tex]
height [tex]h=\frac{7}{4}\ cm[/tex]
The volume of Prism is [tex]V=l\times w\times h[/tex]
Putting values
[tex]\Rightarrow V=\dfrac{8}{5}\times \dfrac{10}{3}\times \dfrac{7}{4}=\dfrac{560}{60}=9.33\ cm^3[/tex]
find the solutions to x^2=27
Answer:
≈5.20
Step-by-step explanation:
[tex]x^{2} =27[/tex]
you are going to use the square root on both sides to cancel out the x^2
[tex]\sqrt x^{2}=\sqrt 27[/tex]
find the square root of 27
x= about 5.20
you will have to round up when you see the actual result when you follow these steps
Answer:
x = +3 square root of 3
Step-by-step explanation:
yea
Which inequality is equivalent to this one? y-85-2 y-8+82-2+8 oy- 8+8
Answer:
The answer is the forth one , Y-8+2⩽-2+2
The equivalent inequality of y - 8 ≤ -2 is y - 8 + 8≤ -2 + 8
How to determine the equivalent inequality?The inequality is given as:
y - 8 ≤ -2
Add 8 to both sides of the inequality
y - 8 + 8≤ -2 + 8
Hence, the equivalent inequality of y - 8 ≤ -2 is y - 8 + 8≤ -2 + 8
Read more about inequalities at:
https://brainly.com/question/11234618
Choose the graph of the solution to this inequality.
–6x < 21
Answer: A
Step-by-step explanation:
c - 12 > -16
c > -4
A
Sean and his cousin are playing a game where they pick up colored sticks. Sean currently has 50 points and likes to pick up the white sticks, earning 2 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by getting all the purple ones, earning 12 points per turn. In a certain number of turns, the score will be tied. How long will that take?
Answer:
It would take 5 turns
Step-by-step explanation:
A gardener is planting two types of trees: Type A is 4 feet tall and grows at a rate of 24 inches per year. Type B is 5 feet tall and grows at a rate of 21 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
Given f(x) = -10x + 11, find f(22)
Answer:
-209
Step-by-step explanation:
-10*(22)+11
-220+11
-209
Answer: -209
Step-by-step explanation:
f(22)=-10(22)+11
f(22)=-220+11
f(22)=-209