In acute triangle $ABC$, points $D$, $E$, and $F$ are located on sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$ so that $\overline{AD} \perp \overline{BC}$, $\overline{DE} \perp \overline{AC}$, and $\overline{DF} \perp \overline{AB}$. Let $R_1$ and $R_2$ be the radii of the circles around $\triangle ABC$ and $\triangle AEF$, respectively. Determine the number of degrees in the measure of $\angle A$ if the area of $\triangle ABC$ is equal to $R_1R_2$.
Answer:
////////A.
Step-by-step explanation://///////
I think
what is the distance between the points (0,-7) and (0, -1)
Answer:
(0,6) is the answer.................
Answer: 6 but also (0,6)
Step-by-step explanation:
In the X-axis : 0, 0 the difference is 0
In the Y-axis : -7, -1 the difference is 6
Because -7+6= -1
Hi Guys please help me I don’t understand
Answer:
Step-by-step explanation:
set them equal to eachother!
Answer:
x=2
Step-by-step explanation:
Hi there! what we have here is something call a corresponding angle. Which means that even though they are not on the same like they are still equal. in order to find the x in the problem you would have to make an equation: 7X+3=8x+1
now its time to solve.
1) add the like terms together on the same side
1-3=8x-7x
2) simplify
x=2
Hope this helps!
Find the equation of the line that passes through the points (4,1) and (-4, -5)
A. y = 4x + 1
B. y = -4x - 5
C. y = 3/4 x -2
D. y = -3/4 x + 2
First, we must find the slope of the line using slope formula*.
[tex]m = \frac{-5 - 1}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}[/tex]
Second, we now find the y-intercept, or b, using slope-intercept form, the slope we found, and one of the given points.
[tex]1 = \frac{3}{4}(4) + b\\\\1 = 3 + b\\\\-2 = b[/tex]
Lastly, we can now create the equation of the line.
[tex]m = \frac{3}{4}\\[/tex][tex]b = -2[/tex]The equation of the line that goes through the given points is C. [tex]y = \frac{3}{4}x - 2[/tex]
The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $3 tip. How many miles can you ride for $20.
Answer:
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
Total charge for 12 miles
=
$
20.75
Explanation:
Building the rule
The trick with algebra is to think what you would do with numbers, then substitute letters.
Mile number 1 costs
$
4.25
The rest of the miles
⇒
(
total miles
−
1
)
×
$
1.50
Putting this all together we have:
$
4.25
+
(
total miles
−
1
)
×
$
1.50
The question instructs that we are to use the letter m for the total miles so we now have:
$
4.25
+
(
m
−
1
)
×
$
1.50
This would be written as:
$
4.25
+
$
1.50
(
m
−
1
)
So
Total charge
=
$
4.25
+
$
1.50
(
m
−
1
)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Determine the charge for 12 miles
Total charge
=
$
4.25
+
$
1.50
(
12
−
1
)
Total charge
=
$
4.25
+
$
1.50
(
11
)
Total charge for 12 miles
=
$
4.25
+
$
16.50
=
$
20.75
Hope this helps you...
:)
Answer:
133 miles
Step-by-step explanation:
3.75 + 3 = 6.75
round to 6.80
20 - 6.80 = 13.2
13.2 / 0.1 = 132
132 + 1 the first mile that you payed $3.75
Is this right??????????????
Answer:
yes it is correct -2x=10
what is the area of the figure in square mm
Answer:
8125 mm
Step-by-step explanation:
Not that sure
PLZ HELP ME AND ANSWER RN PLZ PLZ PLZ!
Jared has $500 in his checking account. He spent $180 on his light bill. What percent of his money is spent on his light bill?
Answer:
36%
Step-by-step explanation:
180/500=36
Hope this helped!
THISS IS SURGENT PLSSS Form a polynomial whose zeros and degree are given.
Zeros: -7, multiplicity 1 3;multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
Answer:
The polynomial is x^3-x^2-33x+63
Step-by-step explanation:
Here, we want to find a polynomial of degree 3 with the given roots
-7 with a multiplicity of 1 and 3 with a multiplicity of 2
if x = -7
x + 7 is a root
if x = 3
x -3 is a root
Since the multiplicity of this is 2, we have x-3 twice
The complete polynomial is;
(x-3)(x-3)(x+7)
= x^2-6x+9(x + 7)
= x(x^2-6x+9) + 7(x^2-6x+9)
= x^3-6x^2 + 9x+7x^2-42x+63
= x^3-x^2-33x+63
Please help with these questions!!:))
Answer:
The first one : decay
The second one : growth
When the argument of the exponential expression is bigger that 1 then it represents a growth
When it's less than 1 and above 0 then it's a decay
(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She can use the computer software to perform transformations on this design.
Which sequence of two transformations could she perform so that the transformed vertices become A'(4,-5), B'(7,-7), and C'(7,-4)?
a. translating 6 units down, followed by translating 8 units to the right
b. reflecting about the line y = -2, followed by translating 8 units to the right
c. reflecting about the line y = -1, followed by reflecting about the y-axis
d. reflecting about the line y = -1, followed by translating 8 units to the right
Answer:
The correct option is;
d. Reflecting about the line y = -1, followed by translating 8 units to the right
Step-by-step explanation:
The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)
By reflecting across the line y = -1, we get
A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)
B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)
C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)
By translating 8 units to the right get
A(-4, 3) by translation 8 units right gives A prime (4, -5)
B(-1, 5) by translation 8 units right gives B prime (7, -7)
C(-1, 2) by translation 8 units right gives C prime (7, -4)
Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;
1) Reflection across the line y = -1
2) An horizontal translation 8 units to the right get.
Transformation involves changing the size and position of a shape.
The sequence of two transformations are: (d). reflecting about the line y = -1, followed by translating 8 units to the right
The coordinates of ABC are given as:
[tex]\mathbf{A =(-4,3)}[/tex]
[tex]\mathbf{B =(-1,5)}[/tex]
[tex]\mathbf{C =(-1,2)}[/tex]
First, the coordinates of ABC are reflected across the line [tex]\mathbf{y =-1}[/tex]
The transformation rule is:
[tex]\mathbf{(x,y) \to (x,-y -2 \times 1)}[/tex]
So, we have:
[tex]\mathbf{A' = (-4,-3 -2 \times 1)}[/tex]
[tex]\mathbf{A' = (-4,-5)}[/tex]
[tex]\mathbf{B' =(-1,-5 - 2 \times 1)}[/tex]
[tex]\mathbf{B' =(-1,-7)}[/tex]
[tex]\mathbf{C' =(-1,-2 -2 \times 1)}[/tex]
[tex]\mathbf{C' =(-1,-4)}[/tex]
Next, the shape is translated 8 units right.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x + 8, y)}[/tex]
So, we have:
[tex]\mathbf{A" = (-4 + 8, -5)}[/tex]
[tex]\mathbf{A" = (4, -5)}[/tex]
[tex]\mathbf{B" =(-1+8,-7)}[/tex]
[tex]\mathbf{B" =(7,-7)}[/tex]
[tex]\mathbf{C" =(-1+8,-4)}[/tex]
[tex]\mathbf{C" =(7,-4)}[/tex]
Hence, the sequence of two transformations are:
(d). reflecting about the line y = -1, followed by translating 8 units to the right
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A projectile is thrown upward off a 130ft cliff at a velocity of 15ft/second. How long before it reaches a height of 25ft?
Answer:
The time taken for the projectile to reach the given height is 1.2 s.
Step-by-step explanation:
Given;
height of travel, h = 25 ft
initial velocity of the projectile, u = 15 ft/s
The time taken for the projectile to travel a height of 25 ft is given by the following kinematic equation;
h = ut + ¹/₂gt²
25 = 15t + ¹/₂(9.8)t²
25 = 15t + 4.9t²
4.9t² + 15t - 25 = 0
solving the quadratic equation, we will have the following solution of t;
t = 1.2 s
Therefore, the time taken for the projectile to reach the given height is 1.2 s.
Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15, what is the area under the density curve from 20 to 100?
The solution is, 0.85 is the area under the density curve from 20 to 100.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15
The area under the density curves for the continuous random variables always add up to unity.
Thus, the area under the density curve from 20 to 100 is ;
1 - 0.15
which is;
1 - 0.15
= 0.85
Hence, The solution is, 0.85 is the area under the density curve from 20 to 100.
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what is the indication of having a zero remainder? what happen if the remainder is zero?
Answer:
If the remainder happens to be zero, this means that you can divide the dividend exactly by the divisor. Therefore, this indicates that the divisor and the quotient are both factors of the dividend
Step-by-step explanation:
Thomas Jefferson borrowed an idea from John Locke that he used in the Declaration of Independence. What did Jefferson call this idea?
A. executive branch
B. peoples rights
C. natural rights
D. unalienable rights
Answer:
The answer to your question is D.unalienable rights.
Step-by-step explanation:
He borrowed this idea from John Locke, a political philosopher of the Enlightenment. Locke said people were given certain "natural rights" which were life, liberty, and property. So, to clarify, Jefferson called this idea "unalienable rights".
Answer:
I believe it is D) unalienable rights
Step-by-step explanation:
Please help if you can!!
Answer:
12.5
Step-by-step explanation:
three ratios that are equivalent to 11:111:111, colon, 1.
Answer:
sdsadasdads121
Step-by-step explanation:
Answer:
22:222:222
33:333:333
44:444:444
Step-by-step explanation:
22:222:222
33:333:333
44:444:444
This means ratios which when reduced give us 11:111:111
HOPE THIS HELPED
A contractor brought 10.8 ft^2 of sheet metal. She has used 3.7 ft^2 so far and has $127.80 worth of sheet metal remaining. The equation 10.8x-3.7x=127.8 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
[tex]\$18[/tex]
Step-by-step explanation:
Let the cost of sheet metal per square feet be [tex]x[/tex]
Amount of sheet metal bought is [tex]10.8\ \text{ft}^2[/tex]
Amount of sheet metal used is [tex]3.7\ \text{ft}^2[/tex]
Remaining value of the sheet metal is [tex]\$127.8[/tex]
So we get the equation
[tex]10.8x-3.7x=127.8\\\Rightarrow 7.1x=127.8\\\Rightarrow x=\dfrac{127.8}{7.1}\\\Rightarrow x=18[/tex]
So, cost of sheet metal per square feet is [tex]\$18[/tex].
Solve the following inequality -3m + 18 < 30
Answer:
m>-4
Step-by-step explanation:
Find the Slope of the Line
Answer:
I think it is five but I cannot see all the lines too well so I don't know
Answer:
the slope is 5
Step-by-step explanation:
50/10 = 5
y= 5x
John puts the base of a 13 foot ladder 4 feet from the wall of his house. How far up the wall does the ladder reach? Round your answer to two decimal places.
Answer:
12.04 feet
Step-by-step explanation:
Applying Pythagoras theorem,
[tex]a^{2}= b^{2} + c^{2}[/tex]
[tex]13^{2} =4^{2} + c^{2}[/tex]
[tex]c^{2} = 145[/tex]
c=[tex]\sqrt{145}[/tex]
c=12.04
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is [tex]\mathbf{y=-4x-3}[/tex]
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: [tex]y=mx+b[/tex]
First we need to find slope
The formula used for finding slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given: [tex]x_1=-7, y_1=25, x_2=-4, y_2=13[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4[/tex]
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
[tex]y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3[/tex]
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
[tex]y=mx+b\\y=-4x-3[/tex]
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is [tex]\mathbf{y=-4x-3}[/tex]
Find the m *With work*
Answer:
MNI = 135º
Step-by-step explanation:
From the picture, we have the two internal angles as [tex]6x[/tex] and [tex]15x-12[/tex]. The third, the angle ∠MNL is 180 - 19x-2. Therefore,
[tex]15x-12+6x+(180-19x-2)=180[/tex]
So,
[tex]15x-12+6x+180-19x-2=180[/tex]
[tex]15x-14+6x-19x=0[/tex]
[tex]2x=14[/tex]
[tex]x=7[/tex]
Finally,
∠MNI = 19x+2 ⇒ ∠MNI = 19(7)+2 ⇒ ∠MNI = 135º
The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
Then the equation is given as,
∠NLM + ∠LMN = ∠MNI
6x + 15x - 12 = 19x + 2
2x = 14
x = 7
Then the measure of the angle ∠MNI is calculated as,
∠MNI = 19 (7) - 2
∠MNI = 133 - 2
∠MNI = 131°
The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.
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When you flip a biased coin the probability of getting a tail is 0.35.
Find the probability of getting a head.
Answer:
0.65
Step-by-step explanation:
a coin has 2 sides so there is two outcomes
1-0.35=0.65
Four posts with 3-in. radii are bound together with a wire. Find the length of the shortest wire that will go around them.
A. 42.85 inches
B. 36.22 inches
C. 12.94 inches
D. 24.45 inches
pizza costs 14 dollars each how many pizza can you buy with 60 dollars
Answer:
3
Step-by-step explanation:
because i am smart
Answer:
4
Step-by-step explanation:
the quoteint is 4 and the remainder is 4
you can buy 4 pizzas
The graph of a function g is shown below.
Find its inverse.
A.)g-1( x) =2/5 x + 5
B.)g-1( x) =5/2 x + 2
C.)g-1( x) = - 2/5x + 2
D.)g-1( x) =5/2 x + 5
Answer:
D
Step-by-step explanation:
the slope =
[tex] \frac{0 - ( - 2)}{5 - 0} = \frac{2}{5} [/tex]
y =mx+b
m = slope
when x = 0 , y = -2
y =(2x/5)-2
x =(2y/5)-2
x+2 = (2y/5)
5x+10 = 2y
y =(5x/2)+5 = g-1(x)
how do you this problem?
Answer:
8
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
7x+13= 90 should be your equation.
when you solve you should have:
7x+13=90 but you want to start to solve so the first step would be to subract 13 from both sides because your adding 13 you wanna do the opposite of that and the opposite of addition is subtraction.
7x=77 now you wanna divide 7 from both sides
x=11
Use fraction bars and the rules of dividing signed numbers to divide.
Negative StartFraction 15 over 5 EndFraction divided by three-fifths
d. -5 .............................................................
The required solution for the given expression is -5.
Given that, using the fraction bars and the rules of dividing signed numbers to divide. Negative StartFraction 15 over 5 EndFraction divided by three-fifths.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question
= -15/5÷3/5
= -15 / 5 × 5 / 3
= -15 / 3
= -5
Thus, the required solution for the given expression is -5.
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