Answer: D) ABCD ∼ EFGH
Step-by-step explanation:
From the given picture,
In parallelogram ABCD, ∠A= 80° .
In parallelogram EFGH, ∠E= 100° .
Since the sum of two adjacent angles in a parallelogram is 180°.
So, ∠A + ∠B = 180°
⇒ ∠B = 180° -∠A = 180°- 80° = 100°
So, ∠B = 100°
Similarly in parallelogram EFGH, ∠ E= 80° .
Also, the opposite angles of a parallelogram are equal,
∠A =∠C= 80° and ∠B=∠D=100°
∠E =∠G= 80° and ∠F=∠H=100°
So, the corresponding angles of both parallelograms are equal.
That means they are similar.
So the required similarity statement : ABCD ∼ EFGH
Hence, the correct option is D.
Answer:
it is not D i got it wrong on the test
Step-by-step explanation:
ASAPPP What is the slope of the line represented by the equation y
3?
-3
4
o
O
The slope of the line represented by this equation is 4/5.
We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).
This equation is in slope-intercept form, or
y = mx + b where m is the slope and b is the y-intercept. The number in the m position in our equation is 4/5, so the slope is 4/5
Hope this helps!
please mark me brainliest!
an air conditioning system can circulate 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute
Answer: 13.32 yards per minute
Step-by-step explanation:
given that an air conditioning system can circulate 360 cubic feet of air per minute.
This is the rate of cubic feet per minute. That is,
Rate = volume/time. Which is
360 = volume/ 1
Cross multiply
Volume = 360 cubic feet
Convert cubic feet to cubic yard
1 cubic foot = 0.037 cubic yards
Multiply this by 360
Cubic yards = 360 × 0.037
Cubic yards = 13.32
Therefore, if 360 cubic feet can circulate air per minute, this is equal360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute to 13.32 cubic yards of air which can circulate air per minute
Which graph shows a dilation? On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0). On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0). On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0). On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 0.5, 0), (negative 1, 2), (1, 2), (1.5, 0).
Answer:
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).
Step-by-step explanation:
Larger quadrilateral
Length of the top and bottom segments are 6 units.
Length of the left and right sides:
d = √[(-5 - (-2))² + (3 - 0)²] = √[3² + 3²] = √(2*3²) = 3√2 units
From point (-5, 3) to point (-2, 0) the slope is:
m = (3 - 0)/(-5 - (-2)) = -1
Smaller quadrilateral
Length of the top and bottom segments are 2 units.
Length of the left and right sides:
d = √[(-2 - (-1))² + (1 - 0)²] = √[1² + 1²] = √2 units
From point (-2, 1) to point (-1, 0) the slope is:
m = (1 - 0)/(-2 - (-1)) = -1
If you dilate the smaller quadrilateral by a factor of 3, you get the larger quadrilateral (they have the same slope, and 3 times length of the smaller quadrilateral is equal to the length of the larger quadrilateral).
Answer: C
Step-by-step explanation:
Please help me answer this question ASAP!
Answer:
B, D and E are correct
Step-by-step explanation:
because
4(3n-2)=4*3n-4*2=12n-8
4n+4-12+8n=12n-8
11n+4+n-12=12n-8
hope this helps
Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores.
Answer:
Mean?
Step-by-step explanation:
Not enough context
Answer: √C.both the mean and the median
Step-by-step explanation:
So here is the full text of your question.
Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari’s grade?
A. the mean
B.the median
√C.both the mean and the median
D.neither the mean nor the median
*I know this ? was awhile back, However I thought it may help someone else who may be looking for the answer :)
I need help please........
Answer:
the answer is option A
[tex]\left[\begin{array}{ccc}56&56&-14\\-126&92&62\\-78&26&2\end{array}\right][/tex] I HAVE CHECKED THE VALUES THIS ANSWER IS CORRECT
Step-by-step explanation:
Help will give brainliest
Answer:
64 mL
Step-by-step explanation:
Step 1: Find % of milk in each cup
1600(0.6) = 960 mL in cup A
1600 - 960 = 640 mL in cup B
Step 2: Find % milk drank in each cup
960(0.4) = 384 mL drank from cup A
640(0.7) = 448 mL drank from cup B
Step 3: Find the difference
448 - 384 = 64 mL
If the two factors in a multiplication problem are integers with different signs how does the product compared to other number?
Answer and Step-by-step explanation:
Well, the product would not change much. If we took the problem -3*7 it has one negative number and one positive number. Now, the rule is when there is two different signs, the answer becomes negative right away. So, your answer would be -21. If the integers were the same, the equation would be 3*7=21. Therefore, there is not much change in the product only the signs.
PLS HELP 30 PIONTS AND I HAVE NO IDEA HOW TO DO IT SO MOST EXPLANATORY GETS BRAINLIEST
Answer:
9y+24
Step-by-step explanation:
2(3y+6)-3(-4-y)
6y+12+12+3y
9y+24
Answer:
[tex]9y+24[/tex]
or
[tex]3(3y+8)[/tex]
Step-by-step explanation:
The expression is:
[tex]2(3y+6)-3(-4-y)[/tex]
In order to simplify the expression first multiply the numbers inside the parenthesis by the factor:
[tex]6y+12+12+3y[/tex]
[tex]6y+24+3y[/tex]
[tex]9y+24[/tex]
Another alternative is:
[tex]3(3y+8)[/tex]
Because 3 is a common factor of 9 and 24
Which elements in a set below are integers?12,-3/4,5,-7,2.24,14/7,9
Answer:
12, 5, -7, 14/7, 9
Step-by-step explanation:
Integers are numbers that are either positive or negative and are whole numbers (no decimals).
If you travel 200 miles in 300 minutes. How fast did you travel in MPH...mile per hour?
Answer: 40 miles per hour
Step-by-step explanation:
first you do 300 divided by 60 to see how many hoiurs there is in 300 min. (5)
then you devide 200 by 5 to get 40 miles per hour
a rectangle is 14 inches long and 4 inches wide. a smaller, similar rectangle is 2 inches wide. to the nearest inch what is the length of the length of the smaller rectangle A 3 1/2 inch B 7 inch C 8 inch D 28 inch
Answer:
7
Step-by-step explanation:
4/2 = 14/x, cross multiply and simplify, x=7
Answer:
7
Step-by-step explanation:
Since the rectangle is 14 inches long and 4 inches wide, and the similar rectangle is 2 inches wide we can set up a proportion. We have[tex]\frac{14}{4} = \frac{x}{2}[/tex]. Now we can cross multiply. We get 28 = 4x, and x = 7.
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and eam an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answer:30,000
Step-by-step explanation:
HELP ME PLEASE! i need help.
Answer: 2 goes to 3 3 goes to 2 1 goes to 4 and 4 goes to 1
Step-by-step explanation:
Step-by-step explanation:
i think like this one
hope it right
Which equation represents that line that passes through (-6,7) and (-3,6)
Answer:
B. [tex]y=-\frac{1}{3}x+5[/tex]
Step-by-step explanation:
Can you identify a cluster on a scatter plot
Answer:
[see below]
Step-by-step explanation:
There are no given options, but here's a basic definition of a cluster:
Clusters are points on a scatter plot that have very close value to one another, which results in the points being "grouped together". I have attached an example of a cluster.
Hope this helps.
Answer:
some times the data points in a scatter plot form distinct group. these groups are called cluster
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles. Find the distance from city B to city C
Answer:
10 miles
Step-by-step explanation:
A & B is 100
A & C is 110
the difference is 10, Which should make B & C 10 miles
The distance from city B to city C will be 10 miles.
What are collinear points?An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.
Let A, B, C, and D be the collinear points. Then the condition of the collinear will be
AB + BC = AC
The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from city A to city B is 100 miles. The distance from city A to city C is 110 miles.
The distance from city B to city C will be given as,
AB + BC = AC
100 + BC = 110
BC = 110 - 100
BC = 10 miles
The distance from city B to city C will be 10 miles.
More about the collinear points link is given below.
https://brainly.com/question/1593959
#SPJ2
I. Let xOy be an angle, A and are two points on [Ox), C and D are two points on [Oy)such
that OC = OA and OD = OB.
a) Show that triangles OAD and OCB are congruent.
b) Give the corresponding congruent elements.
c) Prove that AB = CD.
d) Let I be the point of intersection of [AD] and [BC]. Show that the two triangles IAB and ICD
are congruent.
e) Compare IA and IC.
f) Prove that (OI) is bisector of xOy
Answer:1. Angle-Side-Angle (ASA) Postulate
2. corresponding parts of congruent triangles are congruent (CPCTC)
Step-by-step explanation:
-16 + 2x = -32 + 8x
X =
Answer:
[tex]x=\frac{8}{3}[/tex]
Step-by-step explanation:
Add 16 to both sides:
2x = -16 + 8x
Subtract 8x from both sides
-6x = -16
Divide by negative -6
x = 8/3
Answer:
x = 8/3
Step-by-step explanation:
-16 + 2x = -32 + 8x
Subtract 2x from each side
-16 + 2x-2x = -32 + 8x-2x
-16 = -32 + 6x
Add 32 to each side
-16+32 = -32+32 +6x
16 = 6x
Divide by 6
16/6 = 6x/6
8/3 =x
Which of the following correctly expresses sin (70) + sin(30) as a product?
:
Select the correct answer below:
-2 sin (50)cos (20)
2sin (50)sin(20)
2sin(50)cos(20)
2sin(20)cos (50)
Answer:
2sin50 cos20
Step-by-step explanation:
We need to write sin (70) + sin(30) as a product. The formula used here is :
[tex]\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})[/tex]
Here, A = 70 and B = 30
So,
[tex]\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20[/tex]
So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is (c).
Here's a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form
Answer:
y = 0.5x + 3
Step-by-step explanation:
First consider the slope of this line. If two points that lie on this line are ( 0, 3 ) - ( which is supposedly the y - intercept ), and ( 2, 4 ) take that change in y / change in x to derive the slope;
[tex]( 0, 3 ), ( 2, 4 )\\\\\\Slope = 3 - 4 / 0 - 2,\\Slope = - 1 / - 2\\Slope = 1 / 2 \\\\Slope = 0.5[/tex]
I did mention earlier that the y - intercept was found to be 3. If that is so, taking the equation in point - slope form, we can tell the equation of the line through the following steps;
[tex]y = mx + b,\\m = slope, \\b = y - intercept\\\\Equation, y = 0.5x + 3[/tex]
You work for a florist. Normally, it takes you 20 hours to assemble 10 flower arrangements. How long does it take you to assemble one flower arrangement?
Answer:
2 hours
Step-by-step explanation:
We want to find the unit rate, or time per flower arrangement.
To find the unit rate, divide the number of hours by the number of flower arrangements.
hours/flower arrangements
It takes 20 hours to assemble 10 flower arrangements.
20 hours/ 10 flower arrangements
Divide 20 by 10 (20/10=2)
2 hours/ flower arrangement
It take 2 hours to assemble one flower arrangment.
10. Simplify this expression: 13+ (-12) - (-5) = ?
A.-30
B. -6
C.6
D. 30
Answer:
C
Step-by-step explanation:
Noting that
+ (- ) is equivalent to subtraction
- (- ) is equivalent to addition
Given
13 + (- 12) - (- 5)
= 13 - 12 + 5
= 1 + 5
= 6 → C
Answer:
C) 6
Step-by-step explanation:
13 + (-12) - (-5) = 13 + (-12) + 5
= 1 +5
= 6
13 & (-12 ) have different sign, so subtract and put the sign of the greater number's sign.
There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but everyone else shakes hands exactly once, how many handshakes are there?
Answer:
9120
Step-by-step explanation:
Given ;
Total people =96
It means 48 are male and 48 are females
Handshake can be determined by = Handshake of male+ handshake of female
=48*95+48*95
=4560+4560
=9120
A great white shark swims 22 feet below sea level.
If the shark is 67.7 feet from the sailboat, what is the angle of
denression of the boat to the shark
Answer:
x = 18 degrees
Step-by-step explanation:
Use tan to find the value of x
tan x = 22/67.7 Simplify
tan x = 0.3298 Take the negative of tan to find x
tan^-1 x = 18
The required angle of depression of the boat to the shark is 18.96°.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
Applying trig ratios, to determine the angle of depression.
Sin x = 22 / 67.7
x = sin ⁻¹[22/67.7]
x = 18.96°
Thus, the required angle of depression of the boat to the shark is 18.96°.
Learn more about trig ratios here:
https://brainly.com/question/14977354
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some steps to construct an angle MNT congruent to angle pqr
What is the value of x
Answer:
A. 36 degrees
Step-by-step explanation:
180 is for straight lines,
180-79-68
= 36 degrees
Find the slope of the line that passes through (93, -6) and (11, 24).
Answer:
-15/41
Step-by-step explanation:
Answer:
-15/41
Step-by-step explanation:
We can use the slope formula since we have 2 points
m = (y2-y1)/(x2-x1)
= (24 - -6)/(11 - 93)
= (24+6)/ (-82)
= 30/ -82
-15/41
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Find the exact values of the following, giving your answers as fractions.
a) 2^-3
b) 3^-2
c) 10^-4
Answer:
a) 1/8
b) 1/9
c) 1/10,000
Step-by-step explanation:
When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:
x^-y = 1/x^y (i apologize, exponents on here are really messy)
Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8
b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9
c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.
Sorry fractions and exponents don't work well on my computer. Hope this helps!