Lines EG and FH are parallel. a. Name all the angles congruent to angle ABE. 7.1 D G b. Wnte an equation that represents the relationship between angle FCD and angle HCD.
Answer a here (separate answers with a comma): *
Answer b here: *
Answer:
a. GBC, FCB, DCH
b. FCD+HCD=180
Step-by-step explanation:
A
by vertical angles ABE=GBCby corresponding angles ABE=FCBby alternate exterior angles ABE=DCHB
FCD and HCD form a straight line which is equal to 180The angles that are congruent to ABE are BCF, DCH, and CBG
Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:
<FCD + <HCD = 180
An angle is a point where two lines meet or intersect.
The angles that are congruent to ABE are BCF, DCH, and CBG
ABE = BCE (corresponding angle)
Since BCE = DCH (vertically opposite angles), hence:
ABE = DCH (vertically opposite angles)
Also, we can see that DCH = CBG (corresponding angles), hence:
ABE = CBG (corresponding angle)
b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:
<FCD + <HCD = 180
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Rationalise the denominator and simplify. 5 over root 3
[tex] \frac{5}{ \sqrt{3} } \\ = \frac{5 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ = \frac{5 \sqrt{3} }{ { \sqrt{3} }^{2} } \\ = \frac{5 \sqrt{3} }{3} [/tex]
This is the answer.
HELP MEE
What is the LCM of 9 and 12?
24
36
3
12
Answer:
It is 36
Step-by-step explanation:
Hopefully this help
Have a good day bye
Please just help a girl out please
Answer:
C
Step-by-step explanation:
If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income
Answer:
Total income is 60,000
Step-by-step explanation:
I. if paid rate is 30%, that's mean 42,000 is 70%
II. Perform ratio 70/100 = 42,000/x
70*x = 100 * 42,000
70x = 4,200,000
x = 60,000
III. If you perform 30/100 = x/60,000 will be 42,000
Sorry for late.
HELPPPPPPPPPPPPPPPPP PLZ
Answer:
GH = 8.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan J = opp side / adj side
tan J = HG / HJ
tan 40 = GH / 10
10 tan 40 = GH
8.39099=GH
Rounding to the nearest tenth
GH = 8.4
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please answer that 2 QUESTIONS please provide the explaination thankyouu
Answer:
9 (a)
x=50
y=75
(b)
(i)
y=105
(ii)
y=145
Step-by-step explanation:
The explanation is in the picture!
The graph of the even function f(x) has five x-intercepts. If (6, 0) is one of the intercepts, which set of points can be
the other x-intercepts of the graph of f(x)?
A (-6, 0) (-2, 0), and (0,0)
B(-6,0), (-2, 0), and (4,0)
C (4,0), (0, 0), and (2,0)
D (4,0), (-2, 0), and (0,0)
Answer:
A (-6, 0) (-2, 0), and (0,0)
Step-by-step explanation:
just took quiz on this
help *ASAP!* thank you
Answer:
C2 because 40+40+25 equals 105 not 110
What is the property tax for a property with the assessed value of $789.999 and a tax rate of
$15.99 per $1000?
Answer:
don't know sorry
Step-by-step explanation:
please answer all the step wise step
factorise
1. a^2 - b^2 - 4a +4
2. x^2 -xy - 3x +2 +2y
3. 4x^2 - 4a^2 - 4a - 1
4. x^2 + 3x + 2 + ax + 2a
5. 7 ( x - 1/x )^2 + 15 ( x - 1/x ) + 2
6. 64 - 144x + 108x^2 - 27x^3
7. ab^2 - b ( a-c ) - c
8. p^2 - a ^2 - 2pr + r^2
Answer:
click the link below for further explanation
Step-by-step explanation:
https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics
A turtle was crawling at the rate of 43 cm per minute. How many kilometers would this turtle crawl in one day (24 hours) if it did not rest and continued to crawl at a continuous pace?
Answer:
0.6192
Step-by-step explanation:
create a line that is perpendicular to AB and passes through C. you can use the tools available in geogebra to create perpendicular lines for this construction display the measurement of the angle of intersection between the two lines???
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-intercept.
If we know that the line passes through two points, (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁).
Also, for a given line:
y = m*x + s
A perpendicular line to that one must have a slope:
a = -(1/m)
And the intersection between two perpendicular lines forms four 90° angles.
So first, we need to find the slope of the line that passes through A and B.
A = (-3, 3)
B = (-1, -1)
Then the slope of the line is:
a = (-1 - 3)/(-1 - (-3)) = -4/2 = -2
a = -2
The slope of a perpendicular line should be:
slope = -(1/a) = -(1/-2) = 1/2
Then the perpendicular line will be something like:
y = (1/2)*x + b
To find the value of b, we can use the other restriction.
This line needs to pass through point C.
And we can see that point C is:
C = (1, 2)
This means that when x is equal to 1, y must be equal to 2.
Then replacing these in the above equation we get:
2 = (1/2)*1 + b
2 = 1/2 + b
2 - 1/2 = 4/2 - 1/2 = 3/2 = b
Then our equation is:
y = (1/2)*x+ 3/2
The graph of this line can be seen in the image below, the green line is the line that we found.
If you want to read more about linear relations, you can see:
https://brainly.com/question/19586594
Answer:
Step-by-step explanation:
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
Answer:
0.5 is the answer of this question
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How would you define a pair of parallel lines?
Answer:
We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
Hope this helps <3
How to do this???????
Answer:
x=14
Step-by-step explanation:
Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve
2x=x+14
x=14
then you can plug it back in to check if you want
2(14)-9 = 19
14+5 = 19
Answer:
14
Step-by-step explanation:
2x-9=x+5 (being isosceles triange)
2x-x=5+9
x=14
hope u understood
Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.
Answer:
y=(3/4)x+2
Step-by-step explanation:
write the equation in slope-intercept form: y=(3/4)x - 3
since it is parallel the slope is the same so we have y=(3/4)x + b
then plug in the point (-1) = (3/4)(-4) + b
-1 = -3 +b, b=2
y= (3/4)x + 2
Write an exponential function in the form y = ab^x that goes through points
(0,12) and (2,300).
Answer:
y(x)=12*(5)^x
Step-by-step explanation:
y=ab^x, y(0)=12. 12=a.
y=12*b^x, y(2)=300. 12*b^2=300. b^2=25. b=5
G is a transformation of f. What is the formula of g in terms of f?
A. [tex]-\frac{1}{2}f(x)[/tex]
B. -2f(x)
C. f ([tex]-\frac{1}{2}x[/tex])
D. f(-2x)
Answer:
C
Step-by-step explanation:
First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by
f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us
f(c(x))
= f(1/2(x))
Let's say f(a) = f(1/2(x))
Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in
f (-(a))
= f(-(1/2)(x))
= g(x)
HELPPPP area of triangle
Answer:
20.66 cm^2
Step-by-step explanation:
area =1/2 AxB sine C
=1/2 x11x8 x sine 152
=11x4x0.46947156279
20.65674876258 cm^2
=20.6567cm^2
rounding it to the nearest hundredth we get,
20.66 cm^2
Consider the quadratic expression 13x^2 + nx - 17. For certain values of n, it may be factored into a product of two linear polynomials, both of which have integer coefficients. What are all such values of n?
Answer:
n = 220, 4, -4, -220
Step-by-step explanation:
factors of 17: 17, 1, -1, -17
13 is prime number: 13 x 1 = 13
(ax+b)(cx+d) = axcx+axd+bcx+bd
(x + 17)(13x - 1) = 13x^2 + 220x - 17, n = 220
(x - 17)(13x + 1) = 13x^2 - 220x - 17, n = -220
(x + 1)(13x - 17) = 13x^2 - 4x - 17, n = -4
(x - 1)(13x + 17) = 13x^2 + 4x - 17, n = 4
factorize 3x²-11x-20
What is the cost of buying 5 kg of cheese worth
$9.00 per kg?
Cost of 1 kg = $9
So, cost of 5 kg = $9 × 5 = $45
Two angles are a linear pair. The measure of one angle is 10 more than 25% of the other. Find the measures of both angles.
Answer:
Linear pairs add up to 180°
1st angle = x
2nd angle = x+24 (24° more than the first)
The equation would be
1st angle + second angle = 180 Subbing in the expressions we came up with:
x+x+24 = 180
3x°
30°
x =
degrees dhdjdjdjdjfj
Answer:
x=10
Step-by-step explanation:
since the angles seem similar they're most likely to be the same but since its 3x and you have to find the value of x then we will do 3 x ?=30, which is 10. if you want to check there is one way, since the angle on a straight line is 180 you can do 180 - 30 =150 which will be the unknown value next to the given angle. Since the unknown angle is on the line with the 150 degree angle we can do 180 - 50 to get the unknown angle (3x) which is 30. So in conclusion x will be 10
Answer: x = 10
Step-by-step explanation:
The angles are voa which means vertically opposite angles which means they are conguerent and also equal
ATQ
⇒3x = 30
⇒x = 30/3
⇒x = 10
Therefore x = 10 degrees
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A. 0.002
B. 0.02
C. 0.2
D. 2.1
Answer:
0.02
Step-by-step explanation:
X has 10 boxes and when divided by 100 is equal to 0.1. Y is 2 boxes so just divide it by 100 and you get 0.02.
A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.
Answer:
c 0.28 m
Step-by-step explanation:
A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.
a 1.28 m
b 2.8 m
c 0.28 m
d 0.028 m
Given:
Length of the pipe in fraction = 28/100
What is the equivalent length in decimal?
28/100
How many hundred can you get in 28
= 0. Remainder 28
Add 0 to 28 which makes it 280
How many hundred can you get in 280
= 2 remainder 80
Add 0 to 80 which makes it 800
How many hundred can you get in 800
= 8 remainder 0
Bring all the quotient together
Therefore,
28/100 m = 0.28 m
Explain why cos(-3π/4)=cos(5π/4).
Answer:
Step-by-step explanation:
Because the cosine is a positive function from which we can deduce [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{Rule : cos(-\alpha)=cos\alpha } \\\\\\ \cos\bigg(\frac{-3\pi }{4} \bigg)=cos135=-sin45=-\frac{\sqrt{2} }{2} \\\\\\cos\bigg(\frac{5\pi }{4} \bigg)=cos225=-sin45=-\frac{\sqrt{2} }{2}[/tex] Therefore, they are equal
Which numbers are solutions of each inequality?
Answer:
45. -7.1, -7 1/7
46. 3.7
Step-by-step explanation:
45. y < -7
Answer: -7.1, -7 1/7
46.
z > 3 2/3
Answer: 3.7
use logarithm tables to evaluate
the following
723.7 X 0.0667
Answer:
1.68
Step-by-step explanation:
log723.7=2.86
multiplication in log is addition so 2.86+
log0.0667=-1.18
so 2.86+-1.18=1.68