Answers
Answer:
m∡EFG = 139°, and m∡ IFH = 49°
Step-by-step explanation:
We know that vertical angles are congruent so we can say that
∡EFG ≅∡DFH and that ∡EFD≅∡GFH
Congruent angles have the same measure therefore
∡EFG = ∡DFH = 6x+25 and
∡EFD = ∡GFH = 2x+3
Use that all those angles add up to 360° to find x
∡EFG +∡GFH +∡DFH + ∡EFD = 360°, substitute the given measures
6x+25 +2x+3 + 6x+25 +2x+ 3 = 360 , combine like terms
16x + 56 = 360, subtract 56 from both sides
16x = 304, divide both sides by 16
x = 19
m∡EFG = 6x +25 , substitute x with 19 and calculate
m∡EFG = 6·19 +25
m∡EFG = 139°
m∡ IFH = 90°- m∡GFH, substitute m∡GFH with 2x+3
m∡ IFH = 90°- (2x +3), substitute x with 19
m∡ IFH = 90°- (2·19 +3)
m∡ IFH = 90°- 41
m∡ IFH = 49°
Related Questions
Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.
Answers
Answer:
See below ↓↓↓↓
Step-by-step explanation:
a) Area of circle with radius 10 units
A = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 sq. unitsb) Circumference of circle with diameter 7 units
r = d/2 = 7/2 unitsC = 2πrC = 2 x 22/7 x 7/2C = 2 x 11 = 22 unitsc) Diameter of circle with area 121π square units
A = πr²121π = πr²r² = 121r = √121 = 11 unitsd = 2r = 2 x 11 = 22 unitsd) Area of circle with circumference 20π units
C = 2πr20π = 2πrr = 10 unitsA = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 square unitsArea of circle with radius 10 units is 314 square units,
Circumference of circle with diameter 7 units is 22 square units,
Diameter of circle with area 121π square units is 22 units and
Area of circle with circumference 20π units is 314 square units
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
a) Area of circle with radius 10 units
A = πr²
A = 3.14 x (10)²
A = 3.14 x 100
A = 314 sq. units
b) Circumference of circle with diameter 7 units
C = πd
C = 3.14×7
C = 21.98 units
c) Diameter of circle with area 121π square units
A = πr²
121π = πr²
r = √121 = 11 units
d = 2r = 2 x 11 = 22 units
d) Area of circle with circumference 20π units
C = 2πr
20π = 2πr
r = 10 units
A = πr²
A = 3.14 x (10)²
A = 3.14 x 100
A = 314 square units
Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units
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What is 0.08÷3.16? as a decimal.
Answers
Answer:
It's 0.03 rounded to the nearest hundredth.
Step-by-step explanation:
The whole answer is 0.0253164557.
HELP I NEED IT
NO LINKS!!
Answers
Answer:
option c
Step-by-step explanation:
Area of triangle:
a = 2 and c = 3
base = 6ac²
= 6 *2 * 3 * 3
= 108 cm
height = base + 3
= 108 + 3
= 111 cm
[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]
Answer:
5,994 cm²
Step-by-step explanation:
Formula
Area of the triangle = 1/2 x base length x heightGiven
Base length = 6ac² cmHeight = 6ac² + 3 cma = 2c = 3Solving
Area = 1/2 x 6ac² x (6ac² + 3)Area = 1/2 x 36a²c⁴ + 18ac²Area = 9ac² (2ac² + 1)Substitute the values of a and c⇒ Area = 9 x 2 x 3² (2 x 2 x 3² + 1)⇒ Area = 162 (36 + 1)⇒ Area = 162 x 37⇒ Area = 5,994 cm²7. Nine more than three times a mumber is -6
Answers
Answer:
-5
Step-by-step explanation:
Your equation will look like this:
3x+9=-6
Subtract 9 from both sides.
3x+9−9=−6−9
3x=−15
Divide both sides by 3.
3x/3=−15/3
x=−5
Hope this helped!
The asked number is -5
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, nine more than three times a number is -6, we need to find the number,
Let us consider the asked number be x
Establishing the equation, we get;
3x+9 = -6
Subtract 9 from both sides.
3x+9-9 = -6-9
3x = -15
Divide both sides by 3.
3x/3 = -15/3
x = -5
Hence, the asked number is -5
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A) not periodic
B) periodic with a period of 6 and an amplitude of about 12.5
C) periodic with a period of 6 and an amplitude of about 25
D) periodic with a period of 12 and an amplitude of about 12.5
Answers
Explanation:
Plot all of the data points on the same xy grid as shown below.
I used GeoGebra to make the diagram.
The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.
Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.
can i pleas have help with this
Answers
Answer:
133m²
Step-by-step explanation:
Super easy!
A = BxH
= 9.5x14
= 133
So hence, your answer is 133.
The area of this rhombus is 133m²
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whats reciprocal of 4 1/4
Answers
Answer:
4 4/1
Step-by-step explanation:
we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.
Answer:
4×4=16
16+1=17
=4/17
step-by-step explanation:
since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator
Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1
long. How long, in feet, will the table be when the carpenter builds it?
Answers
The length of the rectangular table the carpenter builds given the scale is 110 feet
What is the length of the drawing?A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension
Length of the table = (11 x 7 1/2) ÷ 3/4
(11 x 15/2) x 4/3 = 660/6 = 110 feet
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Express the first 10 terms of a sequence 2,5,8,11 in sigma notation
Answers
The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29
Explanation:
You can notice that to get to the next term, you have to add 3.
So we add 3 every next term
Find the slope and the y-intercept of the linear equation: 2x+y=7
slope: 7; y-intercept: 2
slope: 2; y-intercept: 7
slope: -2; y-intercept: 7
slope: 1/2; y-intercept: 7
Answers
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .
Could someone help me please.
Answers
Answer:
D
Step-by-step explanation:
The expression is equal to 1/300
D is the only other one equal to 1/300
Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft
Answers
The value of the mean height for the given data will be 84.6 ft. Option A is correct.
What is the standard deviation?It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.
Given data;
Mean,[tex]\rm\bar x = 84[/tex]
Standard deviation,[tex]\sigma= 2[/tex]
No of sample,n=64
The mean height is foundd as;
[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]
84.6>84.49
The value of the mean height for the given data will be 84.6 ft.
Hence option A is correct.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
Help!!!
I need help
Answers
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Answers
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
Does this mean my data is normally distributed or not? How did you know?
Answers
Answer:
There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...
Step-by-step explanation:
#caryonlearning correct me if im wrong
CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!
Answers
how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?
assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:
o²= m²+n²
= 4.7²+5.5²
=52.34
o=V52.34
≈7.23
A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
Answers
Answer:
18
Step-by-step explanation:
8 2/8+ 1 7/8=9 11/8= 10 3/8
5) Dane makes a budget for her birthday, she plans to
spend 3/36 Cthree misty-sixths) of her budget on a
cake that costs $24.00. How many much is her total
budget for the birthday.
Answers
Answer:
Step-by-step explanation:
She plans to spend 3/36 of her budget on a cake ($24.00).
Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.
[tex]\frac{24}{1}[/tex] ÷ [tex]\frac{3}{36}[/tex]
Then, multiply the reciprocal of 3/36, which is 36/3.
= [tex]\frac{24}{1}[/tex] × [tex]\frac{36}{3}[/tex]
= [tex]\frac{864}{3}[/tex] = 288
So, Dane's total budget for the birthday is $288.
Hope this helped !
A total of 640 people voted in an election. The circle graph shows the results.
A.) How many people voted for Gordon? Show your work
B.) How many people voted for Smith or Fishman? Show your work
Answers
.35 x 640= 224
B. 96 people voted for smith
.15 x 640=96
256 people voted for fisherman
.40 x 640= 256
If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference
Answers
Answer:
110 cm
Step-by-step explanation:
Hope it will help you.
HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.
Answers
Answer:
91
Step-by-step explanation:
130 - 1 1/2 ( 26) = 91
Kira and Bill are collecting clothes for a clothing drive. Bill collected 3/5 as many clothes as Kira did. If Kira collected 1/3 of a bag of clothes, how many bags of clothes did Bill collect?
Answers
Answer:
1/5
Step-by-step explanation:
because 3/5*1/3=1/5
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Transform the solid black function to match the dotted function.
y= Voc
I f(x+
fx- +
O
+
o
у
LO
9
00
8
N
6
5
4
3
2
1
1
-18 9 8
-6 54
-3
2
1
N
-1
-
3
4
in
X
5
7
8
9 to
N
3
3
4
5
in
-6
-8
9
9
-10
Answers
Transforming the solid line to the dotted line would change the equation of the functions
The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]
How to transform the function?The equation of the solid line is given as:
y = √x
The solid line undergoes the following transformation to match the dotted line
Reflection across the x-axisTranslate 6 units rightTranslate 3 units upThe rule of the above sequence of transformations is:
(x,y) -> (x - 6, -y + 3)
Using the above transformation rule, the equation of the dotted line is:
[tex]f(x) = -\sqrt{x - 6} + 3[/tex]
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1
unit.
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of
2
1
How many
unit cubes does it take to fill the prism?
2
NI
Answers
Answer:
48
Step-by-step explanation:
If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.
What were the overall returns during the bull market from 1970 to 1973?
Answers
The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.
Hope this was helpful to you
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9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?
Answers
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988
Let x represent the cost of mailing the letter in 1938, hence:
x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
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567.3
What is the value of the digit 5 in this number?
Answers
Answer:
hundredth place
Step-by-step explanation:
because ummmm yeah
Helppp plssssss!!!!!!
Answers
Because the triangle DEF only corresponds in triangle XYZ so it means that EDF will only correspond in YXZ.
y = 2x -1, y = 3x + 5 solve
Answers
Answer:
the answer is x= -6 and y= -13
