a tangent to a circle passes through the center of the circle
True
false
sometimes true
Answer:
False.
Step-by-step explanation:
A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)
what is an equation of the line that passes through the point (-6,-1) and is perpendicular to the line 6x-y=7? (has to be in y=mx+b form)
Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Slopes of perpendicular lines are opposite reciprocals.
If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
~~~~~~~~~~~
6x - y = 7 ⇔ y = 6x - 7
Slope of given line is 6
Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]
( - 6, - 1 )
y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)
y = [tex]-\frac{1}{6}[/tex] x - 2
Help? Show work!
Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Given:
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ=3a+4[/tex]
[tex]XY=5a-12[/tex]
To find:
The value of a and PQ.
Solution:
We have,
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ\cong XY[/tex] (CPCTC)
So,
[tex]PQ=XY[/tex]
[tex]3a+4=5a-12[/tex]
Isolating variable terms, we get
[tex]3a-5a=-4-12[/tex]
[tex]-2a=-16[/tex]
Divide both sides by -2.
[tex]a=\dfrac{-16}{-2}[/tex]
[tex]a=8[/tex]
Now,
[tex]PQ=3a+4[/tex]
[tex]PQ=3(8)+4[/tex]
[tex]PQ=24+4[/tex]
[tex]PQ=28[/tex]
Therefore, the value of a is 8 and the value of PQ is 28.
Find the value of X in order to prove that the two triangles are congruent by the SSS Congruence Postulate
Answer:
x=2
Step-by-step explanation:
17x-8=11x+4
Add 8 to both sides:
17x=11x+12
Subtract 11 x from both sides:
6x=12
Divide both sides by 6:
x=2
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.
Side-Side-Side PostulateAccording to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.
Congruent triangles have the same shape as well as the same size.
[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]
This implies [tex]PM,PN[/tex] are same in length.
[tex]17x-8=11x+4[/tex]
[tex]6x=12[/tex]
[tex]x=2[/tex]
So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].
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kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?
If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.
How to find the height?Given data:
kiersten height = 6ft tall
Shadow = 9 feet away
Shadow of tree = 84 feet
The equation that will be use to find the height is 6/9= x/84
Let x represent the tree's height
So, let solve for x
6/9= x/84
Cross multiply:
9x = 6(84)
9x = 504
Divide both side by 9x
x= 504/9
x = 56 feet
Therefore we can conclude that the height of the tree is 56 feet.
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Evaluate the function: f(x)=x2+2x, find f(−1)
Answer:
[tex]f( - 1) = - 1[/tex]
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 2x[/tex]
Substitute x = -1 in the equation.
[tex]f( - 1) = {( - 1)}^{2} + 2( - 1) \\ f( - 1) = 1 - 2 \\ f( - 1) = - 1[/tex]
The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.
Answer:
l=25, w=10
Step-by-step explanation:
2(25)+2(10)=70
25*10=250
25-5=20
10+5=15
20*15=300
Answer:
width = 10
lenghth = 25
Step-by-step explanation:
HELP 80 POINTS DUE SOON
Answer:
a = 1
Step-by-step explanation:
The important point here is that both lines are horizontal reflections of each other. If we treat the line x = a as a kind of "mirror" for these lines, every point at the same y value on each line is going to be an equal horizontal distance from that "mirror". If that's confusing, think about how, as you pull your hand away from a mirror, your hand's reflection seems to go deeper into it. As you bring it closer, your reflection gets closer too. And when you're touching the mirror, it seems like your hand and its reflection are touching!
We want to find that "touching" point for the two lines, the intersection, because it'll tell us exactly where our "mirror" - more commonly called the axis of symmetry - is. The point of intersection of any two lines is the point where their equations are exactly equal to each other.
Our equations are y = 3x - 5 and y = 1 - 3x, so setting those two equal to each other and solving for x:
[tex]3x-5=1-3x\\6x=6\\x=1[/tex]
This tells us that the two lines intersect at x = 1, which is exactly our axis of symmetry, so a = 1!
The diameter of a circle is 20 centimeters.
What is the length of its radius?
Answer:
10 cm
Step-by-step explanation:
Diameter= 2X radius
20/ 2 = radius
20/2 = 10 cm
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
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Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
158, 155,152,...
Find the 34th term.
Answer:
56
Step-by-step explanation:
158 - ( 3 * 34) = 56
answer pleaseesesese
Answer:
a
Step-by-step explanation:
its a bc a is the only one that is the answer
ILL GIVE BRAINLIEST
An angle measures 100° less than the measure of its supplementary angle. What is the measure of each angle? _° and _°
Answer:
Step-by-step explanation:
the sum of supplementary angles equal to 180
let x=angle
180-x= the other angle
180-x=x-100
2x=280
x=140
the other angle is 40
Which of the following are polynomials
Answer:
I would think that 2x+3y+4 would be the answer.
Step-by-step explanation:
If 2 : 9 = x : 18, then find the value of x
Answer:
4
Step-by-step explanation:
4 is the answer
Answer:
4
Step-by-step explanation:
2/9=x/18
9x=36
x=4
❗️DO NOT GIVE THE ANSWERS❗️
Please explain the process on how to do it.
Answer:
Check below for the process
Step-by-step explanation:
So ill take a) for example. it says that y is equal to 4 times x. y referring to the column y. So in the first row when it says x is one you would have to do 4 times 1 to find what would be in y
HELPPPP
Predict the number of sales in month 5.
The store sold fewer blue jeans
after the
new pants became popular.
Enter the correct answer.
7904
3952
1976
988
?
What is the square root of 100?
Answer:
the square root of 100 is 10
10x10=100
Answer:
the square root of 100 is 10
Step-by-step explanation:
A cookie recipe states for every 3 cups of flour, 1.5 teaspoons of vanilla are
needed. How many teaspoons are needed for 5 cups of flour? Answer as a
decimal and without units. *
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
Tell which number is greater.
17%, 4/25
can someone pls answer this question for my sis she's in the 4th grade and i don't remember how to solve this
17/15 - 4/5
TYSM( btw worth twelve points )
Answer:
i think its 13/45
Step-by-step explanation:
hi please help me , if u dont mind
Answer:
C or B
Step-by-step explanation:
Answer: i believe it would be B
Step-by-step explanation: Basically the graph points keep moving up.
Iready: using a graph to analyze a functional relationship.
Describe the function between x = -4 and x = -1
Answer:
A
Step-by-step explanation:
Hello! The answer is linear and increasing !
Step-by-step explanation:
As you see on the graph it’s increasing ! And it’s linear !
What is a number increased by 7 multiplied by 4?
Answer:
9?
Step-by-step explanation:
9 + 7 is `16, and 16 is a multiple of 4
Evaluate -x + 8 for x = 5.
Answer:
3 is the answer
Step-by-step explanation:
-(5)+8
-5+8=3
you just change x for 5 and go from there
In this problem, you have to use substitution!
-x + 8, when x = 5
1) Substitute the value of 'x' with '5'
-x + 8
= -5 + 8
2) Reverse the expression to make it easier to solve [optional]
-5 + 8
= 8 - 5
3) Solve!
8 - 5
= 3
Your answer is 3
I hope this helps!
- sincerelynini
Simplify. 11 3/4 - 8 1/2 A. 3 1/4 B. 3 1/3 C. 4 1/4
Answer:
A
Step-by-step explanation:
11 3/4 - 8 1/2 = 3 1/4
Solve the following word problem using two variables. Show each step of your work.
John is five years older than Maya. The sum of their ages is 27. Find both ages.
Answer:
John is 16 and Maya is 11
Step-by-step explanation:
x=Maya's age
x+5=John's age
x+x+5=27
2x+5=27
-5 -5
2x=22
/2 /2
x=11
x+5=
11+5= 16
Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes.
How many more baskets did Nico shoot per minute? (If you answer this one, you will 15 points and I can answer one of urs too!)
nico shot 42 basket in 6 minutes
per minute =42÷6
7
nico shot 7 basket per minute
.
Answer:
2
Step-by-step explanation:
Molly 60.4=240 20:4=5
Nico 60.6=360 42:6=7
7-5=2
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
Given that the line y=mx+b has a slope of -3 and passes through (6,-4)
Find b, the value of the y-intercept of the line.