Solve the problems. Write the complete proof in your homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
Answers
Step-by-step explanation:
Well we know that ZACB=LABC because
AABC is isosceles, so base angles theorem applies.
m<ACB=70°
So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°
Finally, DE || CB because the alternate interior angles ECB=<DEC
Related Questions
a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.
Answers
Answer:
3.657 and 7.657 to the nearest thousandth.
Step-by-step explanation:
x - y = 4
x^2 + y^2 = 72
From equation 1
x = y + 4 so
(y + 4)^2 + y^2 = 72
y^2 + 8y + 16 + y^2 - 72 = 0
2y^2 + 8y - 56 = 0
y^2 + 4y - 28 = 0
y = 3.657.
so x = 7.657.
MATH PLEASE HELP ME DO NOT ANSWER THEN DELETE.
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Answer:
here ya go
Step-by-step explanation:
zeros at x = 1 and x = 5
17 in 24 in. 12 in) what is the area of the parallelogram??
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Answer:
53 in.
Step-by-step explanation:
17 + 24 + 12=53
don't forget the in.
elise says if u subtract 12 from my number and multiply the difference by -7 the result is -133 what is Elise's number
Answers
Answer:
40
Step-by-step explanation:
Help with test review homework please.
Answers
A. 11p^13
B. 10m^15
Answer:
11p^(13)
10m^(15)
Step-by-step explanation:
11×11=121 so sqrt(121)=11
Since 26/2=13, then p^(13)×p^(13)=p^(26). This implies sqrt(p^26)=p^13.
sqrt(121p^26)=11p^(13)
In short, you just find sqrt of 121 since 121 is a perfect square and then do p^(26/2) since 26 is even and be done.
Other problem is similar.
Sqrt(100)=10 and m^(30/2)=m^(15).
The answer is 10m^(15).
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
Answers
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Given (x – 7)2 = 36, select the values of x.
Answers
2(x-7)=36
Divide both sides by two
X-7= 36/2
Simplify 36/2 to 18
X-7=18
Add 7 to both sides
X=18+7
Simplify 18+7 to 25
X = 25
The values of the variable "x" which satisfy the equation (x – 7)² = 36 are x = 13 and x = 1.
To find the values of x in the expression (x - 7)² = 36, we need to solve for x using the given equation.
We Expand the square of the binomial: (x - 7)² as x² - 14x + 49,
Now, We Set up the equation as : x² - 14x + 49 = 36,
Next, We Subtract 36 from both sides: x² - 14x + 13 = 0,
Factoring the quadratic equation: (x - 13)(x - 1) = 0,
At last, Applying the zero-product property: x - 13 = 0 or x - 1 = 0,
Solving for x, We get : x = 13 or x = 1.
Therefore, The required values of "x" are x = 13 and x = 1.
Learn more about Equation here
https://brainly.com/question/30398551
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The given question is incomplete, the complete question is
Given the equation (x – 7)² = 36, Find the values of x.
Suppose z varies directly with x and inversely with the square of y . If z=18 when x=6 and y=5 , what is z when x=11 and y=10?
Answers
I need help with this math problem
Answers
Answer:
F(x)=(x+6)^2
Step-by-step explanation:
Hope this helps!
Once the high temperature was 30°F. Then at night the temperature dropped by 23 degrees. does the expression 30 + (-23) mean the temperature at night? explain.
Answers
Answer:
7°
Step-by-step explanation:
simple arithmetic duh
This graph represents 2x+y=−4.
Which ordered pair is in the solution set of 2x+y≤−4?
Question 6 options:
(2, −2)
(−2, −2)
(2, 2)
(−2, 2)
Answers
Answer:
(-2, -2)
Step-by-step explanation:
A student bought 44 pencils for school. if he sharpened 8 of the pencils before school, what is his ratio of unsharpened pencils to sharpened pencils
Answers
Answer:
8:36
Step-by-step explanation:
if you sharpened 8 pencils out of 44 that means 8 pencils are sharpened and the other 36 aren't
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?
Answers
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
https://brainly.com/question/11897796
Which expression is equivalent to -19-11?
Answers
Answer:
uh lol can i get sum more context
Step-by-step explanation:
find the value of x 4x + 3 = -5x + 21
Answers
4x + 3 = -5x + 21
9x + 3 = 21
9x = 18
x = 2
Hope this helps!! :)
Answer:
x=2
Step-by-step explanation:
4x + 3 = -5x + 21
add 5x on both sideswhich will get u to 9x +3 = 21subtract 3 from both sideswhich will get u to 9x = 18divide 9 from both sides and the answer is x = 2pls help I will put brainliest
Answers
26
the number line ticks count by 2
hope this helped :)
HELP SOLVE PLEASEEE
Answers
Answer:
d. -6x + 2 = -15
Estimate a 15% tip on a dinner bill of $39.42 by first rounding the bill amount to the nearest ten dollars.
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Now we take $40 x 0.15 = $6.00
The answer is : $6 tip
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
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Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
1/2 : 10 = 2 12 : x
What is the value of x
Answers
If measure angle 4 is equal to 35 degrees, find the measure angle 2 and measure angle 3.
Answers
Answer:
< 2 = 35 degrees and
<3 = 55 degrees
Step-by-step explanation:
<3 = 90-35
= 55 degrees
<1 = 90 degrees
<2 = 180 - 90 - 55
= 35 degrees
A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y=0x+2
Step-by-step explanation:
50×54+35-44
Simplification
no spam
steps must
Answers
Answer:
=2691
Step-by-step explanation:
=2700+35−44
=2735−44
=2691
Drag each label to correct location on the image. Identify which equations have one solution, no solution, or infinitely many solutions?
Answers
Answer:
2z+2+4z=16/5+2z-6/5; 5r+2=6r+3-r
One Solution: 3/2x+2.3-1/2x=4.3+x; 2x+2/3=2x+4/5-4x; 32p-2.5+2.1p=5p-7/2
Infinite Solution: 17/4+4.2y-9/4=2.2y+6+2y-4
Step-by-step explanation:
solve pls branliest !
Answers
Answer:
72
Step-by-step explanation:
8×3²
=8×9
=72
so it is the answer
What does 1/2 + 1/4 equal
Answers
1/2 is the same thing as 2/4. 2/4 plus 1/4 equals 3/4
Answer:
0.75 as a decimal, and 3/4 as a fraction
Step-by-step explanation:
You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?
Answers
Answer:
$32.50
Step-by-step explanation:
The equation for simple interest is
Simple Interest=P×r×n
where:
P=Principal amount
r=Annual interest rate
n=Term of loan, in years
so
P=200
r=0.0325
n=5
so 200*0.0325*5=32.5
solve the system x+2y-5z=10, y+2z=2, z=-1
Answers
Answer:
x=-3,y =4 z=-1
Step-by-step explanation:
x+2y-5z=10
y+2z=2
z=-1
Since z = -1, substitute into the second equation
y + 2(-1)=2
y -2 =2
y = 2+2
y=4
We can substitute into the first equation
x+2(4) -5(-1) =10
x+8+5=10
x+13 = 10
x = 10-13
x=-3
Find the unknown number in the equation 4 x 12 = 6 x n.
Answers
Answer:
n = 8
Step-by-step explanation:
hope this helps
what is the distance between the two numbers on a number line
−7,−3 2/3
Answers
Answer:
5/21
Step-by-step explanation:
Take -3/7 and -2/3 subtract them. (-3/7) - (-2/3) find a common denominator and alter fractions based on it. -9/21 + (14/21)