Answers
Answer:
60°
Step-by-step explanation:
<DGC = <AGB
90 = 90
You know that line E and F is 180° since it is a straight line. On the staright line you now have two angels. You can now frigure out x° by doing this:
180° - (30° + 90°)
180° - 120°
60°
Answer:
x=60
Step-by-step explanation:
using verticle theorem angle FC is 30 and angle AB is 90. Angle D = x
240+2x=360
x=60
Related Questions
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2? StartFraction x Superscript one-half baseline Over y z squared EndFraction StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction StartFraction y Superscript one-half Baseline Over x z squared EndFraction
Answers
Answer:
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]
Required
Find the equivalent
To find the equivalent of the given expression; we have to apply laws of indices;
As a law;
[tex]a^{-m} = \frac{1}{a^m}[/tex]
So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]
This is further simplified to
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]
[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]
Combine to form a single fraction
[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]
Multiply numerator
[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
The expression can not be further simplified
Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]
Answer:
c
Step-by-step explanation:
x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.
Hope this helped other than the guy above lol
What is the cost of an $8,000 car including 5½% tax?
Answers
Answer:
Car Price:
$8,000.00
Interest Paid:
$492.48
Sales Tax:
$448.00
Total Cost:
$8,940.48
Which is true regarding the graphed function f(x)?
O FO) = 3
O f/5) = -1
Of(3) = 2
Of(2)= -2
Answers
Answer:
The answer is option B
f( 5) = - 1
Hope this helps you
Regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.
The slope (m) of the graph is
m = (4 - 0) / (0 - 4)
m = -1
From general linear equation: y = mx + c
The equation of the function is;
y = -x + 4
f(x) = -x + 4
Let us check all the options one by one.
If x = 0,
F(0) = 4 This is not true
If x = 5
F(5) = -5 + 4
F(5) = -1 This is true.
Therefore, regarding the graph function f(x), it is only F(5) = -1 that is true. Option B is the correct answer.
Learn more about Function here : https://brainly.com/question/17043948
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, -3)?
2
y + 3 = -4(x + 4)
y + 3= -1/4x + 4)
y + 3 = 1/4x + 4)
y + 3 = 4(x + 4)
Answers
Answer:
the answer is y+3=1/4x+4
A rectangle has a perimeter of 269.4 miles and a base of 77.6 miles. What is the height?
Answers
Answer:
you have to divivide both number to find the height=57.1
Step-by-step explanation:
Step-by-step explanation:
Perimeter = 2×(Height × Base)
269.4 = 2(Height × 77.6)
269.4 = 155.2 × 2Height
2Height = 114.2
Height = 57.1 miles
rewrite the rational exponent as a radical by extending the properties of integer exponents
Answers
Answer:
Step-by-step explanation:he correct answer is:
the eighth root of 2 to the fifth power .
Explanation:
What we have is:
Using the rules of exponents, we know that when we divide powers with the same base, we subtract the exponents. The base of each exponent is 2, so we subtract:
7/8 - 1/4
We find a common denominator. The smallest thing that both 8 and 2 will evenly divide into is 8:
7/8 - 2/8 = 5/8
This gives us:
When rewriting rational exponents as radicals, the denominator is the root and the numerator is the power. This means that 8 is the root and 5 is the power, which gives us:
,
or in words, the eighth root of 2 to the fifth power.
What will the sign be on the solution to this problem: (-3)(-4)(5)(6)(-7)
+
-
Answers
Answer:
-
Step-by-step explanation:
becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive
Answer:
Negative
Step-by-step explanation:
[tex](-3)(-4)(5)(6)(-7)\\\\-3*-4*5*6*-7\\\\\boxed{-2520}[/tex]
The product has a negative sign.
Brainilest Appreciated.
Find the missing segment in the attached image
Answers
Answer:
The length of the missing segment is 44
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{20}{x} = \frac{10+20}{22+x}[/tex]
[tex]\frac{20}{x} = \frac{30}{22+x}[/tex]
Cross Multiply
[tex]20 * (22 + x) = 30 * x[/tex]
Open bracket
[tex]20 * 22 + 20 * x = 30 * x[/tex]
[tex]440 + 20x = 30x[/tex]
Subtract 20x from both sides
[tex]440 + 20x - 20x= 30x- 20x[/tex]
[tex]440 = 30x- 20x[/tex]
[tex]440 = 10x[/tex]
Divide both sides by 10
[tex]\frac{440}{10} = \frac{10x}{10}[/tex]
[tex]\frac{440}{10} = x[/tex]
[tex]44 = x[/tex]
[tex]x = 44[/tex]
Hence, the length of the missing segment is 44
the two rectangular similar
no the ratios of corresponding sides are not equal
yes the lengths of the corresponding sides form equal ratios
no. the figures are facing different directions
yes they are both rectangles
Answers
Answer:
no the ratios of corresponding sides are not equal
Step-by-step explanation:
For two rectangles to be considered similar, the ratio of the length of their corresponding sides must be of equal measure.
Let's find out if the 2 given rectangles are similar or not by finding the ratio of the length of their corresponding sides as follows:
3/3 = 1
4/6 = 2/3
Thus, 3/3 ≠ 4/6
The ratio of their corresponding sides are not equal. Therefore, the two rectangles bare not similar.
The answer is: "no the ratios of corresponding sides are not equal".
In which quadrant does the point (25 , 21) lie? A. Quadrant I B. Quadrant IV C. Quadrant III D. Quadrant II
Answers
Not 2,3,4
Answer:
A
Step-by-step explanation:
Both of the coordinates are positive. The quadrant that has points with positive x and y coordinates is Quadrant I.
1) Explain the Distributive Property in your own words.
2) Give an example that shows how to use the Distributive Property to rewrite a one-variable expression.
Answers
Answer:
The Distributive Property states that when a number in parentheses is next to a number, you distribute the number outside of the parentheses and multiply by each of the numbers in parentheses.
5(10+x)=5(10)+5(x)=50+5x
:)
Reflection over the y-axis and a translation of shifting down 7 units.
Answers
Answer: (-x, y-7)
Step-by-step explanation:
A reflection across the y-axis changes the sign of the x-value.
(x, y) → (-x, y)
Shifting down 7 units subtracts 7 from the y-value.
(-x, y) → (-x, y-7)
If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74
Answers
Answer:
mean =sum of all data values
total number of data
13+91+44+68+54+16+88+74
8
448
8
=56
therefore the mean is 56
Answer: 51
Step-by-step explanation:
A nautical mile is the unit of length used in sea and air navigation. A
nautical mile is equal to 6,174 feet. What percent of a statute mile, (5,360
feet) is a nautical mile? (Round to the nearest hundredth.)
Answers
Answer:
86.82%
Step-by-step explanation:
A nautical mile = 6,174 feet.
Statute mile =5,360 feet
The percentage of a statute mile to a nautical mile is calculated as:
5360/6174 × 100
= 0.8681567865 × 100
= 86.81567865%
Approximately to the nearest hundredth = 86.82%
Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%
HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answers
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles
Answer:
21h miles
Step-by-step explanation:
The appropriate relation is ...
distance = speed · time
__
We are given that ...
biking time = h
walking time = 2h
running time = (1/4)(2h) = h/2
The total distance traveled is ...
total distance = biking distance + walking distance + running distance
= (10)(h) +(3)(2h) +(10)(h/2)
= 10h + 6h + 5h
total distance = 21h . . . miles:
*PLEASE ANSWER PLS N TY * Which statement(s) are true about inscribed angles? Statement 1: The vertex of an inscribed angle lies on the circle. Statement 2: The sides of an inscribed angle are tangent lines to the circle. Statement 3: The sides of an inscribed angle are chords of a circle. Statement 4: The vertex of an inscribed angle lies outside a circle.
a.) 4 only
b.) 1 only
c.) 1 & 3 only
d.) 2 & 4 only
Answers
Answer:
c) 1 & 3 only
Step-by-step explanation:
In the picture attached, an example of an inscribed angle is shown.
In the example, the vertex is point B, which lies on the circle.
A chord of a circle is a straight line segment whose endpoints both lie on the circle, like segments BA and BC from the picture
What is the perimeter of this polygon?
(2,3)
(-4, 2)
(3,-2)
(-2, -3)
A. 25.5 units
B. 21.7 units
O C. 24.4 units
D. 22.8 units
Answers
Which student correctly solved their equation below?
a. Emery
b. Savannah
c. Both students
d. Neither student
Answers
Answer:Savannah
Step-by-step explanation:Just subsitute the variables for the nuber they said it is equal to and if it is true then it is correct
Answer: Savannanah subsitute the variables for the number they said it is equal to and if it is true then it is correct
Please hurry❗️❗️❗️!!!!!!
Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7
Answers
Answer:
The answer is (a+c) + 7
Since addition is associative a + ( C + 7) can also be written as (a+c) + 7
Hope this helps you
Answer:
(a+c)+7
Step-by-step explanation: This method is called associative property.
On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.
Hope it would help :)
The sum of two consecutive integers is 61. What are the integers?
Include a let statements and checks in your answer.
Answers
Answer:
30, and 31
Step-by-step explanation:
Let n=the smaller of the two integers
n+n+1=61
2n+1=61
2n=60
n=30
Answer:
30, and 31
Step-by-step explanation:
Let the "x" mean the smaller of the two integers
x+x+1=61
2x+1=61
2x=60
x=30
CHECK:
30+30+1=61
2(30)+1=61
60+1=61
61=61 ✓
HOPE THIS HELPS
A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.
What is the input if the motor delivers 10.75 hp. ( Round your answer to 1
decimal place.)
Answers
Answer:
12.6 hp
Step-by-step explanation:
output of motor = 85.4% of input of motor.
Given that motor delivers 10.75 hp, it means output of motor is 10.75hp
Using both the given conditions
10.75 = 85.4% of input of motor
=> 10.75 = 85.4/100 * input of motor
=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.
Input of motor rounded to 1 decimal place = 12.6 hp
HELP!!!
Describe the shape of the data distribution
Answers
What does the perimeter of this figure consist of?
A.) one semicircle and one line segment
B.) one semicircle and two line segments
C.) one semicircle and three line segments
D.) two semicircles and two line segments
I hope you can help!
Answers
Answer:
B.) one semicircle and two line segments
Step-by-step explanation:
The curve would be part of the 'semicircle'. The two line segments would make up the outside of the triangle. The perimeter would have to go around the semicircle's curve and the outside of the triangle.
Option B should be the correct answer.
Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.
Answers
Step-by-step explanation:
We khow the sum and the product of the zeroes of this quadratic polynomial
Here is a trick :
when we khow the sum S and the product P ofvtwo numbers we can find them by solving :
x²-Sx+p=0
here S= -8 and P=12
so:
x²+8x+12=0
Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12
Δ= 8²-4*12 =16
the zeros are:
(-8-4)/2= -6
(-8+4)/2 = -2
verify:
-6+(-2)= -8
-2*(-6)= 12
now the polynomial quadratic is:
(x+6)(x+2)
Plz help asap!!!!!!!
Answers
7 - x + (2 - 3x + 5y)
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
9 - 4x + 5y
▹ Step-by-Step Explanation
7 - x + (2 - 3x + 5y)
Remove the parentheses
7 - x + 2 - 3x + 5y
Collect like terms
9 - x - 3x + 5y
Final Answer
9 - 4x + 5y
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
A box of cereal is supposed to weigh 13.8 oz, but it's acceptable for the weight to vary as much as
0.1 oz. Write and solve an absolute value inequality to find the range of acceptable weights.
Answers
A ramp is being built to an entrance of a school. The ramp will begin 4 feet from the entrance and have an incline of 6°. How long is the ramp? Question 18 options: A) 38.06 units B) 3.82 units C) 38.27 units D) 4.02 units
Answers
Answer:
D) 4.02 units
Step-by-step explanation:
This will be a right triangle, where b = 4 and angle A is 6 degrees
We want to find c
cos A = adjacent / hypotenuse
cos 6 = 4/c
c cos 6 =4
c = 4/ cos 6
c =4.022033118
In how many different ways can 6 people be seated at a round table
Answers
1x5x4x3x2x1
The nth term is going to be (n-1)
Find the missing segment in the attached image
Answers
Answer:
The length of the missing segment is 24
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{15}{x} = \frac{15+5}{8+x}[/tex]
[tex]\frac{15}{x} = \frac{20}{8+x}[/tex]
Cross Multiply
[tex]15 * (8 + x) = 20 * x[/tex]
Open bracket
[tex]15*8 + 15 * x = 20 * x[/tex]
[tex]120 + 15x = 20x[/tex]
Subtract 15x from both sides
[tex]120 + 15x -15x= 20x-15x[/tex]
[tex]120 = 20x-15x[/tex]
[tex]120 = 5x[/tex]
Divide both sides by 5
[tex]\frac{120}{5} = \frac{5x}{5}[/tex]
[tex]\frac{120}{5} = x[/tex]
[tex]24 = x[/tex]
[tex]x = 24[/tex]
Hence, the length of the missing segment is 24