Answers
Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
what is rhombus ?A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal. A rhombus also has equal-length sides and diagonals that are at right angles to one another. The term "rhombus" can also refer to a diamond or rhombus. A rhombus has equal opposite angles. At a 90° angle, the diagonals split in half. 180 degrees is the sum of adjacent angles.
given
There is a line that passes through the parallel line; the alternate interior angles are 3 and 39.
The alternative interior angles are similar, hence Angle 3 = 39.
Since the upper left triangle is a triangle, angles 3, 4, and the center angle all add up to 180 degrees. The angle in the middle is 90 degrees. hence, we may locate angle 4.
angle 4=51.
Since Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
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Related Questions
Is 8:2 greater than 5:1?
I need someone to help me clarify if this is correct. Thanks.
Answers
Answer:
No, 8:2 = 4:1 which is less than 5:1
Step-by-step explanation:
Answer:
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[tex]8 : 2 \\ = \frac{8}{2} \\ = 4[/tex]
[tex]5 : 1 \\ = \frac{5}{1} \\ = 5[/tex]
8 : 2 = 4, while 5 : 1 = 5.
4 < 5.
•°• 8 : 2 is not greater than 5 : 1.
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What is the mzb?
34°
76°
bº
Answers
Answer:
b^=118
the mzb is 42 we add each numbers by 42
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
Answers
Answer:
1/2
Step-by-step explanation:
simlified would be 1/2
(1/24)x =1/6
you would multiply everything by 24 which would make 1/24 into 1 and 1/6 into 24/6
(24/24)x=24/6
x=4
and you can check it by plugging in x
(1/24)(4)=1/6
4/24=1/6
1/6=1/6
A jet is flying with an air speed of 480 miles per hour at a bearing of N82 °E. Because of the wind, NE° . the ground speed of the plane is 518 miles per hour at a bearing of 79°E.
a- What are the speed and direction of the wind?
b- If the pilot increased the air speed of the plane to 500 miles per hour, what would be the resulting ground speed and direction of the plane?
Answers
A) Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE
B)The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.
How to find the direction of the wind?To find the speed and direction of the wind, we can use the fact that the ground speed vector (GS) is the sum of the air speed vector (AS) and the wind speed vector (WS).
Given that:
AS = 480 miles per hour at a bearing of N82°E
GS = 518 miles per hour at a bearing of 79°E
We can use the law of cosines to find the wind speed (WS) and the angle between AS and WS.
WS = √(GS² - AS² + 2AS * GS * cos(GS - AS))
WS = √(518² - 480² + 2(480)(518)cos(79 - 82)) = √(268816 - 230400 + 466560cos(-3)) = √(28672) = 168 miles per hour
Then we can use the angle between AS and WS to find the direction of the wind:
Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE
To find the resulting ground speed and direction of the plane if the pilot increased the air speed to 500 miles per hour, we can use the same method as before.
Given that:
AS' = 500 miles per hour at a bearing of N82°E
GS' = √(AS'² + WS² - 2AS'WS * cos(direction of WS - direction of AS'))
GS' = √(500² + 168² - 2(500)(168)cos(80.5 - 82)) = √(250000 + 28672 + 118400cos(1.5)) = √(284872) = 535.5 miles per hour
The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.
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On a certain hot summer day, 431 people used the public swimming pool. The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $788.50. How many children and how many adults swam at the public pool that day?
Answers
The number of adults at the public pool that day is 284 and the number of children is 147.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Let x be the number of adults and y be the number of children who used the swimming pool.
Total number of people used the swimming pool = 431
x + y = 431
Daily price for adults = $2.00
Daily price for children = $1.50
Total amount for admission = $788.50
2x + 1.5y = 788.5
We got two linear equations here :
x + y = 431 and 2x + 1.5y = 788.5
x + y = 431 ⇒ x = 431 - y
Substituting this in second equation,
2(431 - y) + 1.5y = 788.5
862 - 2y + 1.5y = 788.5
-0.5y = -73.5
y = 147
x = 431 - 147 = 284
Hence the number of adults is 284 and the number of children is 147.
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Using the least common denominator rename 3/5 and 11/20?
Answers
Answer:
12/20 and 11/20.
Step-by-step explanation:
The least common denominator between 3/5 and 11/20 is 20.
For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.
The second equation already has a denominator of 11/20 so we can leave it as is.
3/5-> 12/20
11/20-> 11/20
Graph the line that passes through the points (9, -1) and (6, 1) and determine the equation of the line.
Answers
The equation of the line will be y = -2/3x + 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line passes through points (9, -1) and (6, 1).
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 1 - (-1) / ( 6 - 9 )
Sloe = - 2 / 3
The y-intercept will be calculated as,
y = mx + c
-1 = (-2/3) x 9 + c
c = 5
The equation of the line,
y = mx + c
y = -2/3x + 5
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3x2 – 7x 7x = 4x – 8
Answers
Answer:
x =−1−√93/23,−1+√93/23
Step-by-step explanation:
x=0.37581090…,−0.46276742...
Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 + 5 = 0 3x2 − 6x + 8 =
Answers
Answer:
Only equation 1 and 2 are equal.
Step-by-step explanation:
2 (x + 4)2 = 2
2( x² + 8x+ 16) = 2 Applying the square formula
2x² + 16x+ 32 = 2
2x² + 16x+ 32 -2= 0
2x² + 16x+ 30 = 0
2( x² + 8x+ 15)= 0 Taking 2 as common
x2 + 8x + 15 = 0------------eq 1
x2 + 8x + 15 = 0-------------eq 2
(x − 5)2 = 1
x²-10x+25= 1 Applying the square formula
x²-10x+25- 1= 0
x²-10x+24= 0-------------eq 3
x2 − 10x + 26 = 0 -------------eq 4
3(x − 1)2 + 5 = 0
3( x²-2x+1)+5= 0 Applying the square formula
3x²-6x+3+5= 0
3x²-6x+ 8= 0-------------eq 5
3x2 − 6x + 8 =1
3x2 − 6x + 8 -1=0
3x2 − 6x + 7 =0-------------eq 6
A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer
Answers
Answer:
multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
then you will subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
= $336. 38(round off)
can someone pls help me
Answers
Answer:
16. 68
17. 97
18. 81
19. 96
20. 84.2
Step-by-step explanation:
A stem in a stem and leaf plot represents the tens place, and the leaf represents the ones place. The dat represented by the graph is the same exact as the numbers:
68, 75, 77, 79, 80, 82, 92, 96, 96, 97
Just by looking at the data, the minimum is 68 and the maximum is 97.
Next, to find the median, we can cross off the same amount of numbers from both sides until we are left with only two,:
68, 75, 77, 79, 80, 82, 92, 96, 96, 97
To find the median, we just find the mean of 80 and 82, which is 81.
The mode is the number that repeats the most, and that number is 96.
Lastly, to find the mean, we add up all the numbers and divide them by the amount of numbers:
(68 + 75 + 77 + 79 + 80 + 82 + 92 + 96 + 96 + 97) / 10
842 / 10
84.2 would be the mean.
Which expression can represent 4 less than the quotient of 192 and 3?
A (192 x 3) - 4
B (192 ÷ 3) - 4
C 4 - (192 x 3)
D 4 - (192 ÷ 3)
Answers
Answer: B
Step-by-step explanation:
Because if you were finding the quotient, you would divide, then subtract 4.
F
E
58>D
C
128
B
128
Answers
Answer:
What is the question???
Step-by-step explanation:
Which graph shows a reflection of point A over the line? *
Answers
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the left point in graph B is left 2 and up 1 from the line while the right point is right 2 and down 1 making them a reflection of each other.
Evaluate the expression 2a+3d
Answers
Answer:
Step-by-step explanation:
Nothing further can be done with this topic
So, your answer would have to be 2a+3d
can someone please help me
Answers
Answer:
58
Step-by-step explanation:
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The difference between two numbers is 10. The smaller number is 8.
Which of the following is the equation of the statement above?
10 - x = 8
x + 8 = 10
x - 8 = 10
8 - x = 10
Answers
Answer:
x - 8 = 10
Step-by-step explanation:
The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.
Solve the Equation.
6x−3(x+8)=9
x=?
Answers
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]
Answer:
X=11
Step by step:
6x-3(x+8)=9
=6x-3x-24=9
=3x-24=9
+24 +24
=3x=33
=3x/3=33/3
X=11
What percent students have height between 62 inches and 64 inch
Answers
Answer:The following list of data represents highway fuel consumption in miles per gallon. (mpg) for Hint: you will need to calculate the midpoint for each class. Age (yrs) C. What percentage of women are between 62.5 inches and 67.5 inches? 65. 68 ... If the top 15% of the students get A's, what is the cut-off score for an A? 75.
Step-by-step explanation:
sorry if this is wrong
Percent students having height between 62 & 64 inches, is 25%
As per the linear presentation, data is spread evenly between 58 to 66 inches.
The total 100% students are divided evenly in 8 segments, from 58 - 59 inches to 65 - 66 inches. So each segment has 100 / 8 = 12.5%
Hence, percentage students having 62 to 64 inches has 2 unit segments. They are 12.5 x 2 = 25% students.
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What are quadrants examples?
Answers
The examples for each of the quadrant is explained below.
Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.
Here we have to know the value that must be placed on each quadrant.
Here the first quadrant has both x and y-coordinates are positive.
The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.
The third quadrant has both x and y-coordinates are negative.
The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.
Therefore, the example for each of them are written as
=> Quadrant I = (1, 1)
=> Quadrant II = (-1, 1)
=> Quadrant III = (-1, -1)
=> Quadrant IV = (1, -1)
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Write (-6,3) (4,-3) in slope intercept form
Answers
Answer:
y=-3/5x-3/5
Step-by-step explanation:
I started off by finding the slope by using the slope formula. then i plugged in one of the ordered pairs into thr slope intercept form to find the value of b.
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answers
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Simplify all the equations, then we have
A. 2 + x = 5, to simplify the equation, then we have
2 + x = 5
x = 3
B. x + 1 = 4, to simplify the equation, then we have
x + 1 = 4
x = 3
C. 9 + x = 6, to simplify the equation, then we have
9 + x = 6
x = - 3
D. x + (- 4) = 7, to simplify the equation, then we have
x - 4 = 7
x = 11
E. - 5 + x = - 2, to simplify the equation, then we have
- 5 + x = - 2
x = 3
The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.
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Shawn keeps his photos in a box like the one shown.
What is the volume of the box?
Answers
Answer:
288 in.
Step-by-step explanation:
when it comes to finding the volume of a box you just multiply the width, length and height and you will get the volume
6 in. x 12 in. x 4 in. = 288 in.
Between which two positive integers does V33 lie?
Answers
Answer:
0-1 Integers are whole numbers
Step-by-step explanation:
hello please help i’ll give brainliest
Answers
Two has 4 2/3 pitches of juice. One glass holds 1/6 of a pitcher. How many glasses can teo fill?
Answers
Teo can fill 28 glasses in 4 2/3 pitches of juice.
Teo has 4 2/3 pitches of juice.
First we write the improper fraction (mixed fraction) as a proper fraction.
4 2/3
= [(4 × 3) + 2] / 3
= (12 + 2) / 3
= 14/3
One glass holds 1/6 of a pitcher.
Let m number of glasses hold 14/3 pitches of juice.
By unitary method,
m × (1/6) = 14/3
To find the value of m we need to divide fractions.
m = (14/3) / (1/6)
m = (14/3) × (6/1)
m = 14 × 2
m = 28
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What is the area of the base in the figure below? A cylinder with height 12 and diameter 6. 9 square units 9 pi square units 72 square units 72 pi square units
Answers
Answer:
Area of circle = 9π square unit
Step-by-step explanation:
Given:
Height of cylinder = 12 units
Base diameter of cylinder = 6 units
Find:
Area of base
Computation:
Base Radius of cylinder = Base diameter of cylinder / 2
Base Radius of cylinder = 6 / 2
Base Radius of cylinder = 3 unit
Area of circle = πr²
Area of circle = (π)(3)²
Area of circle = 9π square unit
Answer:
Option B, 9 pi square units.
Step-by-step explanation:
Item 4
What value of a makes the equation true?
1.7a+0.3a=45
a=−115
a=25
a=135
a=245
Answers
Answer:
a = 22.5
Step-by-step explanation:
1.7a+0.3a=45
Add like terms
2a = 45
Divide by 2
2a/2 = 45/2
a = 22.5
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[tex]\maltese[/tex]1.7a+0.3a=45
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[tex]\bold{1.7a+0.3a=45 }[/tex] [tex]\bold{(1.7+0.3)a=45 }[/tex] [tex]\bold{ 2a=45 }[/tex] [tex]\bold{a=\dfrac{45}{2} }[/tex] [tex]\blue{a=22.5 }[/tex]hey guys can anyone help me!.
Answers
Answer:
m=4
Step-by-step explanation:
Answer:
m = 4
Step-by-step explanation:
The shape on the right is 2/3 times smaller than the shape on the left.
This means multiplying the side lengths of the shape on the left by 2/3 will give you the side lengths of the shape on the right.
Take a look.
[tex]9 * \frac{2}{3} = 18/3 = 6[/tex]
[tex]6 *\frac{2}{3} = 12/3 = 4[/tex]
Therefore, the value of the missing side length, m, is 4.
PLS HELP WILL MARK BRAINEST
Answers
Answer:
Step-by-step explanation:
Answer is choice A
Both functions are decreasing at a rate of -2. You can find this by finding the slope.