Answer:
Step-by-step explanation:
Let CE and DE be the bisectors of ∠C and ∠D respectively. Then, ∠1 = 1/2∠C and ∠2 = 1/2∠D
In △DEC, we have
→ ∠1 + ∠2 + ∠CED = 180° [Sum of angles of a triangle]
→ ∠CED = 180° - (∠1 + ∠2). .....(i)
Again, the sum od the angles of a quadrilateral is 360°.
∴ ∠A + ∠B + ∠C + ∠D = 360°
→1/2(∠A + ∠B) + 1/2∠C + 1/2∠D = 180°
→1/2(∠A + ∠B) + ∠1+ ∠2 = 180°
→1/2(∠A + ∠B) = 180° - (∠1+ ∠2)....(ii)
From (i) and (ii), we get 1/2(∠A + ∠B) = ∠CED
Hence, ∠A + ∠B = 2∠CED
Determine the value of y, if x is -5.
y = |x| – 6
Answer:
The value of y = -1 , if x is -5.
Step-by-step explanation:
y = |x| – 6
y = |-5| – 6
|-x| = x ---> this is the rule of absolute value, so let's apply this to our equation.
y = 5 – 6 --------------> -5 becomes 5
y = -1
A bag contains 4 purple beads and 3 green beads. A bead is drawn and then replaced before drawing the second bead. Find the probability both beads drawn are green.
A) 16/49
B) 6/7
C) 6/49
D) 9/49
Answer:
9/49
Step-by-step explanation:
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
Replace the bead
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
P( green , replace, green) = 3/7 * 3/7 = 9/49
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -37
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex], so the slope is [tex]\frac{y}{x}[/tex], which also equals [tex]-\frac{37}{4}[/tex].
What is the slope of the line joining (15, 12) and (9, 4)
[tex]\\ \sf\longmapsto Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto Slope=\dfrac{4-12}{9-15}[/tex]
[tex]\\ \sf\longmapsto Slope=\dfrac{8}{6}[/tex]
[tex]\\ \sf\longmapsto Slope=\dfrac{4}{3}[/tex]
if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?
Answer:
It's going to take you 17 min to travel 12 miles
assuming you are going with mph
Step-by-step explanation:
I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
the question is in the picture
Answer:
∠CBA
Step-by-step explanation:
Answer:
<CBA
Step-by-step explanation:
The vertex has to be in the middle
<CBA
<ABC
or we can name it with just the vertex
<B
what is 5cd
when c = 3
and d = 4
Answer:
60
Step-by-step explanation:
5*3*4
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
Find the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1.
wrong answers = reported
ty<3
Answer:
y = 2 x^2 - 4 x + 1
parábola
Step-by-step explanation:
Answer please ??????????????????????
Answer: -1/2
Step-by-step explanation:
[tex]\\\displaystyle \lim_{x \to 3} \ \dfrac{\dfrac{1}{x+5}-\dfrac{1}{8}}{\sqrt{x+1}-2} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{\dfrac{3-x}{8} }{\sqrt{x+1}-2} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{(\sqrt{x+1}+2)*\dfrac{3-x}{8} }{(\sqrt{x+1}-2)*(\sqrt{x+1}+2)} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{(\sqrt{x+1}+2)*({3-x)} }{8*(x+1-4)} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{(\sqrt{x+1}+2)*({3-x)} }{8*(x-3)} \\\\\\\displaystyle =\lim_{x \to 3} -\dfrac{ (\sqrt{x+1}+2)} {8} \\\\[/tex]
[tex]=-\dfrac{1}{2}[/tex]
Help this needs to be answered
The equation of the linear function in slope-intercept form is [tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of a linear function can be written in the slope intercept form as:
f(x) = mx + b,
where,
m represents the slope of the linear function
b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)
we need to find the value of m and b to be able to write the equation of the linear function.
Find slope (m):
From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).
Slope (m) = rise/run
Substitute:
Slope (m) = 3/6
m = 1/2
Find the y-intercept (b):
From the graph, the line cuts the y-axis at y = -5.
Therefore,
b = -5
Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:
[tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]
Learn more about how to write the equation of a linear function here:
https://brainly.com/question/12184348
(|5 - 3x | - 1) - ( 1 - 3x ) = 0
(| 5 - 3x | - 1) - (1 - 3x) = 0
|5 - 3x| - 1 - 1 + 3x = 0
|5 - 3x| - 2 + 3x = 0
1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0
3 = 0. has no solutions
2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0
-5 + 3x - 2 + 3x = 0
6x = 7
x = 7/6
5 - 3x < 0
-3x < -5
x > 5/3.
has no solutions
need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only
Answer:
True
Step-by-step explanation:
integers like 5 or 4 can be put over one to be a fraction.
For example: 5/1 or 4/1
Answer:true
Step-by-step explanation:
they can
eg 1/1, 7/1
Translate into an alegbraic expression and simplify if possible.
I have a total of 10 gigabytes of data on my computer, x gigabytes are movies and the rest is music. how many gigabytes of music is stored on my computer?
Answer:
(10-x)GB
Step-by-step explanation:
Music=10-x, simple arithmetic
evaluate 7-3s for s= -3
Answer:
16
Step-by-step explanation:
Substitute s = - 3 into the expression
7 - 3(- 3) = 7 + 9 = 16
Find the missing length indicated.
Answer:
Does the answer help you?
Pls help ASAP will give brainliest
Answer:
hope it help you.........
Answer:
[tex]\boxed {\boxed {\sf y= -1.2 }}[/tex]
Step-by-step explanation:
We are asked to solve the following equation for y.
[tex]-2y-4.2= 1.8 + 3y[/tex]
To solve for y, we have to isolate the variable by performing the inverse operations. First, move all the terms without a variable or the constants to one side, and the terms with a variable to the other side.
4.2 is being subtracted and the inverse operation of subtraction is addition. Add 4.2 to both sides.
[tex]-2y-4.2 +4.2= 1.8 + 3y+ 4.2[/tex]
[tex]-2y=1.8 + 4.2 + 3y[/tex]
[tex]-2y= 6 + 3y[/tex]
3y is being added and the inverse operation of addition is subtraction. Subtract 3y from both sides.
[tex]-2y-3y= 6+ 3y -3y[/tex]
[tex]-2y-3y= 6[/tex]
[tex]-5y=6[/tex]
y is being multiplied by -5. The inverse operation of multiplication is division. Divide both sides by -5.
[tex]\frac {-5y}{-5}= \frac{6}{-5}[/tex]
[tex]y=- 1.2[/tex]
Check the answer by substituting -1.2 back into the original equation.
[tex]-2 (-1.2)-4.2 = 1.8 + 3(-1.2)[/tex]
[tex]2.4-4.2=1.8 + - 3.6[/tex]
[tex]-1.8 = -1.8[/tex]
This checks out, so we know our answer is correct.
Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a
Answer:
[tex](6a-7)5a=30a^2-35a[/tex]
Step-by-step explanation:
Message if you want a detailed explanation.
What is the volume of the regular pyramid?
576m
96 m
480 m
240 m
Answer:
volume is 576
Step-by-step explanation:
all you do to find volume is multiply LxWxH which will give you volume so just take 18m x 4m x 8m = 576m hopefully its a simply and direct explanation make me brainlist please !!!
The volume of a pyramid is 720 m³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
Base area:
A = (1/2) x apothem x perimeter
where the perimeter is the total length of all five sides of the pentagon.
So,
= 1/2 x 4 x (5 x 8)
= 2 x 40
= 80 m²
Height.
= 18 m
Now,
The volume of a pyramid.
= 1/2 x 80 x 18
= 80 x 9
= 720 m³
Thus,
The volume of a pyramid is 720 m³.
Learn more about pyramid here:
https://brainly.com/question/17615619
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Solve for x.
A) -6
C) -8
B) 12
D) -10
Answer:
i believe it's -6? option a.
Step-by-step explanation:
okay.
60 degrees + a right angle, 90 degrees = 150 degrees
a triangle is normally 180 degrees.
180-150=30
so we need to get 30 from that equation, x + 36
x + 36 = 30
you solve.
x = -6
if im wrong, feel free to correct me + sub to gauthmath sub reddit if ya can !
Can an infinite arithmetic series ever converge?
You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?
Answer: C) You choose account #2
===================================================
Explanation:
Let's compute the final balance for account 1.
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of yearswhere in this case
P = 10,000r = 0.035 n = 4 t = 10So with all that in mind, we get
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.035/4)^(4*10)
A = 14,169.0883793113
A = 14,169.09
Account #1 gets us $14,169.09 which is over our goal of $14,000
--------------------------
Let's repeat this idea for account 3. I'll get back to account 2 in the next section.
For account 3, we have these inputs
P = 10,000r = 0.032n = 1t = 10leading to...
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.032/1)^(1*10)
A = 13,702.4104633564
A = 13,702.41
This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.
--------------------------
Now let's compute account 2. We'll use the continuously compounded interest formula which is
A = P*e^(rt)
The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.
I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.
So,
A = P*e^(rt)
A = 10,000*e^(0.036*10)
A = 14,333.2941456052
A = 14,333.29
This exceeds 14,000 so we can use this account.
Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.
This is why we should go for account 2.
find the missing side lengths
Answer:
x= 4 square root 3 y=4
Step-by-step explanation:
Its 30 60 90 triangle
Hope this helps <3
16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15
Answer:
the fourth option : 5x - 3y = 15
Step-by-step explanation:
the slope of the original line is given by the coordinate differences between the 2 points on the line.
remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.
so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.
therefore, the slope is -3/5.
the slope of a perpendicular line simply switched x and y. and the sign of the slope.
therefore the slope of the perpendicular line is 5/3.
and the line equation is
y = (5/3)x + c
to get c we need the point on the line (3, 0).
0 = (5/3)×3 + c = 5 + c
c = -5
y = (5/3)x - 5
3y = 5x - 15
3y - 5x = -15 or (after multiplying both sides by -1)
5x - 3y = 15
What are the solutions to the equation f(x)=g(x)?
A) x= -3, 4
B) x= -4, 2.5
C) x= -0.8, 2.5
D) x= 8, -8
Answer:
B
Step-by-step explanation:
The points where f(x) intersects g(x) are - 4 and 2.5. These points are the solution of the equation f(x)=g(x)
Answer:
(-4,8) and ( 2.5, -8)
Step-by-step explanation:
The solutions are where the two graphs intersect
They intersect at x = -4 and y = 8 and at x = 2.5 and y = -8
(-4,8) and ( 2.5, -8)
A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A
Answer: A) 1
Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1It's estimated that 330 billion photographs are taken each year. If there are 6.9
billion people in the world, how many photos on average is that per person?
PLS HELP- please look at the picture below
9514 1404 393
Answer:
1/3
Step-by-step explanation:
To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.
Then f(2) = 1/x = 1/3.
use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement.
the measure of the angle is twenty-nine times greater than its supplement