Answer:
If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.
Step-by-step explanation:
hope that helps
n/52 = 180/120 = n
18/n = 21/28 =n
n/4 = 24/6 =n
10/16 = n/56=n
solve each propotion
Answer:
1. n/52 = 180/120
180/120 = 1.5
n/52 = 1.5
Multiply 52 on both sides to simplify:
n=78
2. 18/n = 21/28
21/28 = 0.75
18/n = 0.75
Multiply n on both sides to remove
fraction: 18 = 0.75n and divide both sides
by 0.75 to simplify again.
n=24
3. n/4 = 24/6
24/6 = 4
n/4 = 4
Multiply 4 by both sides to simplify:
n=16
4. n/56 = 10/16
10/16 = 0.625
n/56 = 0.625
Multiply 56 on both sides to simplify:
n=35
Step-by-step explanation:
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.
Based on the results above, predict the number of times a 3 would be rolled if Stacy performs the experiment a total of 480 times
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
In drawing a circle,what instrument is used to ensure that its radius is 6 cm?
Answer:
That would be a compass.
Step-by-step explanation:
This allows you to draw circles with great accuracy.
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the value of 7p7 ?
A: 1
B: 14
C: 49
D: 5040
Answer: 5040
Step-by-step explanation:
7•6•5•4•3•2•1=5040
Help picture below problem 16
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
2. What inference can you make by comparing the measures
of variability?
I need the answer
Answer:
16.02
Step-by-step explanation:
2. What inference can you make by comparing the measures
of variability?
I need the answer
16.02
how do i solve this and what’s there answer?
[tex]\qquad\qquad\huge\underline{{\sf Answer♪}}[/tex]
If the given triangles are congruent, then their corresponding sides are equal as well ~
So, let's use this condition
[tex]\qquad \sf \dashrightarrow \:2y + 5 = 3y + 2[/tex]
[tex]\qquad \sf \dashrightarrow \:3y - 2y = 5 - 2[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 3[/tex]
and
[tex]\qquad \sf \dashrightarrow \:2x + 7 = 15[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
Help picture below problem 14
Answer:
c is the answer
DO MARK BRAINLIEST
A pair of flip flops cost $30. How much will they cost after a 20% discount and 6.5% tax?
Answer: 22.44$
Step-by-step explanation:
1. 30 x 0.20 = 6
2. 30 - 6 = 24
3. 24 x 0.065 = 1.56
24 - 1.56 = 22.44$
what is the total number of unique triangles that can be made with the side lengths of 4cm, 5cm, and 10cm can be drawn? PLS HELP I WILL MARK BRAINLIEST
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
SOLVE please I need it fast it’s for 20 points so please
Step-by-step explanation:
I hope its helped ?? huhuhu sorry if im wrong:)
A 10-inch tire has a diameter of 10 inches. What is the circumference of these tires?
Answer:
31.4
Step-by-step explanation:
diameter (d) = 10
circumference = (3.14)d
= (3.14)10 = 31.4
circumference = 31.4
In the adjoining figure, the parallel lines are marked by arrow lines. The value of angle 1 is:
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
[tex]m\angle 1 = 180\degree- 160\degree[/tex]
[tex]\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}[/tex]
Alternate method:
[tex]m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)][/tex]
[tex]\implies m\angle 1 = 180\degree- [360\degree-200\degree][/tex]
[tex]\implies m\angle 1 = 180\degree- 160\degree[/tex]
[tex]\implies m\angle 1 = 20\degree[/tex]
Answer:
m∠1 = 20°
Step-by-step explanation:
Alternate interior angle theorem (z-angles): when two parallel lines are cut by a transversal, the resulting alternate interior angles are equal.
Therefore, because of the parallel lines, angle 1 is equal to the missing angle in the quadrilateral (see attached diagram - alternate angles marked in red).
Let x = unknown angle in the quadrilateral (marked in blue on attached diagram)
Sum of interior angles of a quadrilateral = 360°
⇒ x + 40° + 70° + 90° = 360°
⇒ x + 200° = 360°
⇒ x = 160°
Angles on a straight line add up to 180°
⇒ x + m∠1 = 180°
⇒ 160° + m∠1 = 180°
⇒ m∠1 = 20°
Can you find the missing side length?
Step-by-step explanation:
you need to calculate all the sides that are given to get the other side
It seems like they have shown you how to calculate so give it a try
This figure represents a flower box.
How much soil will it take to fill the flower box?
Enter your answer in the box.
in³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the longer part of the L is on the bottom and the shorter part of the L extends up from the left side. The longer part of the L has a length of 20 inches, a width of 9 inches, and a height of 9 inches. The shorter part of the L extends 10 inches above the longer part of the L and has a length of 5 inches.
Answer:
The Answer Is 2200in^3
Step-by-step explanation:
I Took The Test And Got It Right
can you write 2 expressions that will simplify to 6x-4y
Hello, the answer to your question is "Sure!"
These are the expressions:
12x-6x-9y+5y
Combine Like Terms:
6x-4y
Bingo! Now, one more:
Hmmm, let me think...
-18x+24x+16y-20y
Combine Like Terms:
6x-4y
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
What is the slope-intercept equation for this line?
y = [?]x+ [ ]
Answer:
y = -2x - 2
Step-by-step explanation:
show how you know, thank you :)
~giving brainliest!~
Answer:
V≈180.96
Step-by-step explanation:
what is 3.1 converted into a simplified fraction?
Answer:
31/10
Step-by-step explanation:
What is the rate of change for the equation x+0.5y=5
Answer:
Step-by-step explanation:
The rate of change can be found by using the difference quotient formula and in this case it would be -0.5
┍━━━━━»•» «•«━━━━━━»•» «•«━┑
[tex]f (x)= x^{2},(2, 3) -2[/tex]
The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2
┍━━━━━»•» «•«━━━━━━»•» «•«━┑
HOPE THIS HELPS
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many smarties as marshmallows. What proportion of the bag of sweets are cola bottles?
Give your answer in its simplest form
(1)
If there are three times as many males as females, the ratio of males to females would be 3:1.
To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.
We can then say there are 75 males and 25 females.
Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;
[tex]r(m) = \frac{3}{4} [/tex]
(2)
Let x be the number of cola bottles
Let y be the number of smarties
Let z be the number of marshmallows
x=3y (since there are 3 times more x than y)
y=2z (since there are 2 times more y than z)
we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.
Adding up our total sweets we get;
1+2+6=9
But how many of those are cola bottles? 6!
So the ratio of cola bottles can be expressed as,
[tex]r(c) = \frac{6}{9} = \frac{2}{3} [/tex]
You can simplify the numerator and denominator by 3 to get 2 over 3.
how does the distributive property work
Explanation:
The distributive property tells you that multiplication distributes over addition. In equation form, it looks like ...
a(b +c) = ab +ac
__
Groups and Multiples of GroupsThe parentheses are a grouping symbol. In the above equation, they indicate that the sum (b+c) is to be treated as a group. When it is multiplied by 'a', everything in the group is multiplied by 'a'.
In the real world, there are many ways things are grouped. Baseball cards are packaged together with bubble gum; Cracker Jacks® are packaged together with a prize; left gloves are packaged together with right gloves; a bicycle is a package that has a frame, 2 wheels, a seat, handlebars. If you purchase a number of any of these packages, each of the items in the package is part of your purchase that number of times.
For example, 3 bicycles will have 3 frames, 3×2 = 6 wheels, 3 seats, 3 sets of handlebars. In algebraic form, this might look like ...
3(f +2w + s + h) = 3f +6w +3s +3h
__
Eliminating ParenthesesUsing the distributive property to eliminate parentheses is like regrouping the contents of the packages so like items are grouped together. In our above example, the 3 frames were grouped together when we considered that part of the group of 3 bicycles. The multiplier multiplies every member of the group.
__
Adding ParenthesesThe reverse of the distributive property tells us we can regroup items into sets. It tells us we can take 3 frames, 6 wheels, 3 seats, and 3 handlebars and group them together in a way that makes 3 bicycles, each having a frame, 2 wheels, a seat, and handlebars.
3f +6w +3s +3h = 3(f +2w + s + h)
Often, we're asked to choose the multiplier to be the greatest common factor (GCF) of the numbers of things in the group. That makes each group as small as possible. The multiplier only needs to be a common factor, not necessarily the greatest common factor.
What is 1/3 of 9/5 cookies?
Answer:
9/15 (0.6)
Step-by-step explanation:
(9/5) x(1/3)= 9/15
Answer:
32\15
Step-by-step explanation
(Score for Question 1:
of 5 points)
1. The diagram shown is two intersecting lines. The measure of 5 is 47°
(a) What is the measure of 7? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 6 can be represented by (2x-5). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:
Answer:
a ground fault circuit interrupted
Answer:
By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491
How to solve 4 divided by 5
Answer: HELLO THERE! Here's what I found from study dot com "4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form)."
Step-by-step explanation:
Hope this helps, have a good day!
Find the surface area of the cone. Use 3.14 for it.
The surface area is about in.2.
look at the picture ⬇️⬇️⬇️
This value is approximate since pi = 3.14 is approximate.
=======================================================
Work Shown:
r = radius = diameter/2 = 20/2 = 10 inches
L = slant height = 40 inches
SA = surface area of the cone
[tex]\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\[/tex]
The surface area of the cone is approximately 1570 square inches.
We can abbreviate "square inches" into [tex]\text{in}^2[/tex]
If you want to get a more accurate surface area value, then use more decimal digits of pi.
Solve for x. Leave your answer in simplest radical form. X 4 3
Apply Pythagorean theorem
P²=H²-B²P²=4²-2²P²=16-4P²=12Now
Again apply Pythagorean theorem
x²=12-3²x²=12-9x²=3x=√3Answer:
the final answer for this problem is √3
3.99 million - 47,000,000
Answer: -43010000.
Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.
Have a great day! :)
Is (8, 7) a solution of y > 4x − 6?
No, (8, 7) is not a solution of y > 4x − 6.
Yes, (8, 7) is a solution of y > 4x − 6.
Answer:
no
Step-by-step
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
4
b
=
−
6
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
4
y-intercept:
(
0
,
−
6
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Find the x-intercept.
Tap for fewer steps...
To find the x-intercept(s), substitute in
0
for
y
and solve for
x
.
0
=
4
x
−
6
Solve the equation.
Tap for fewer steps...
Rewrite the equation as
4
x
−
6
=
0
.
4
x
−
6
=
0
Add
6
to both sides of the equation.
4
x
=
6
Divide each term by
4
and simplify.
Tap for fewer steps...
Divide each term in
4
x
=
6
by
4
.
4
x
4
=
6
4
Cancel the common factor of
4
.
Tap for fewer steps...
Cancel the common factor.
4
x
4
=
6
4
Divide
x
by
1
.
x
=
6
4
Cancel the common factor of
6
and
4
.
Tap for fewer steps...
Factor
2
out of
6
.
x
=
2
(
3
)
4
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
4
.
x
=
2
⋅
3
2
⋅
2
Cancel the common factor.
x
=
2
⋅
3
2
⋅
2
Rewrite the expression.
x
=
3
2
x-intercept(s) in point form.
x-intercept(s):
(
3
2
,
0
)
Find the y-intercept.
Tap for fewer steps...
To find the y-intercept(s), substitute in
0
for
x
and solve for
y
.
y
=
4
(
0
)
−
6
Solve the equation.
Tap for fewer steps...
Remove parentheses.
y
=
4
(
0
)
−
6
Simplify
4
(
0
)
−
6
.
Tap for fewer steps...
Multiply
4
by
0
.
y
=
0
−
6
Subtract
6
from
0
.
y
=
−
6
y-intercept(s) in point form.
y-intercept(s):
(
0
,
−
6
)
Create a table of the
x
and
y
values.
x
y
0
−
6
3
2
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
y-intercept:
(
0
,
−
6
)
x
y
0
−
6
3
2
0
Two students determined the value of this expression.
-2.5(1.4+3.1) + 6.9(-4.3)
These are the steps each student used.
Student P
Step 1: -3.5 + 7.75 + 6.9(-4.3)
Step 2: -3.5 + 7.75 - 29.67
Step 3: 7.75 - 3.5 - 29.6
Step 4: -25.42
Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q.
Let's solve
[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]
[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]
[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]
[tex]\\ \rm\rightarrowtail -40.92[/tex]
Both did error in signs
Answer:
Given expression:
-2.5(1.4+3.1) + 6.9(-4.3)
Student P
Step 1: -3.5 + 7.75 + 6.9(-4.3)
Step 2: -3.5 + 7.75 - 29.67
Step 3: 7.75 - 3.5 - 29.67
Step 4: -25.42
Student P made an error in step 1. When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.
So Step 1 should be: -3.5 - 7.75 + 6.9(-4.3).
This error then impacted all following steps and gave an incorrect final solution.
Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Student Q made an error in step 3. When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.
So Step 3 should be: -(3.5 + 7.75 + 29.67).
This error then impacted all following steps and gave an incorrect final solution.
Correct steps and solution
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 + 7.75 + 29.67)
Step 4: -(40.92)
Step 5: -40.92