Answer:
True
Step-by-step explanation:
The measure of the angle where secants intersect outside the circle is half the difference of the measures of the intercepted arcs. A pair of tangents is a special case where the intercepted arcs meet each other. The same relation regarding arc and angle measures still applies.
The given statement is true.
The measure of a tangent-tangent angle is one - half the difference of the measures of the intercepted arcs.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, The diagram is attached below
AB and BC are the two tangents
By exterior angle theorem
∠3 = ∠2 + ∠4
So ∠2 = ∠3 - ∠4
Now we find angle 3 and 4, we know when a chord and tangent intersect at a point then the measure of angle is one half of measure of intercepted arc
∠3 = 1/2 arc ADC
∠4 = 1/2 arc AC
∠2 = ∠3 - ∠4
∠2 = 1/2 arc ADC - 1/2 arc AC
∠2 = 1/2 ( arc ADC - arc AC)
Thus, The measure of a tangent-tangent angle is one half the difference of the measures of the intercepted arcs.
Learn more about the angle visit:;
https://brainly.com/question/25716982
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if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
x^2 + 6x + 5 show equation
Answer:
[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]
Step-by-step explanation:
[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]
so
[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]
hope this helps
Graph g(x), where f(x) = 4x – 2 and g(x) = f(x + 1).
Answer:
Please see attached image
Step-by-step explanation:
We start by finding the actual algebraic expression for g(x):
g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2
Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:
for x = 0 g(x) = 2
for x = 1 g(x) = 6
for x = -1 g(x) = -2
and joining them with a line.
PLS HELP ME GUYS I NEED HELP WITH GEOMETRY
Answer:
7, -21
Step-by-step explanation:
F could be located 14 to the left of -7 or 14 to the right of -7. 7 and -21 could be the possible locations of F.
PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches
Answer:
48.5
Step-by-step explanation: i just did the problem
Answer:
48.5 is your answer
Step-by-step explanation:
Solve x+ y = 5 and 2 x - y = 3
Answer:
[tex] x=\frac{8}{3}\: \: y=\frac{7}{3}[/tex]
Step-by-step explanation:
Add the two equations:
$ x+y +(2x-y)=5+3$
$\implies 3x=8$
$\implies x=\frac{8}{3}$
Use this value in the first equation:
$\frac{8}{3}+y=5$
$\implies y=\frac{15-8}{3}=\frac{7}{3}$
Answer:
x + y = 5 Equation 1
2x-y = 3 Equation 2
Add both Equations
y will be eliminated so it will be
3x = 8
x = 8/3
Substitute x into equation 1
8/3 + y = 5
y = 5 - 8/3
y= 7/3
x = 8/3 y = 7/3
Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
find the values of x and y
Answer:
x = 85 Degrees
y = 85 Degrees
Step-by-step explanation:
20 Degrees + 90 Degrees -->
90 and 20 are given => 110 Degrees
e triangle angles sum = 180 Degrees
180 - 110 = 70 Degrees
=> Vertical angles so 25 + x + 70 = 180
x = 85
x + (z) = 180 e sum of half 360
85 + z = 180
z = 95 Degrees
--> z + (y) = 180 e same as above (sum of interior angles)
95 + y = 180
y = 85
Hope this helps!
hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
Step-by-step explanation:
-3.25a+4a=2-5
0.75a=-3
a = -4
Tell me if its right
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answer:
[tex]A = 20,000(0.85)^t[/tex]
Step-by-step explanation:
We will use the formula for compound interest here
where [tex]A = p( 1 + r)^t[/tex]
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula [tex]A = p( 1 + r)^t[/tex]
[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]
Thus, model equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]
1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer
Answer:
3
Step-by-step explanation:
1/2(8+6)-2=4+x-2
1/2*14 -2 = 2+x
7-2=2+x
5=2+x
x=5-2
x=3
i need help please...
Answer:
A. 5 units
Step-by-step explanation:
What is the range of f(x) = |-x|? y ≤ 0 y ≥ 0 y = 0 all reals
Answer:
y≥0
Step-by-step explanation:
no matter what is written inside it,
|x|≥0
so here
f(x)≥|-x|
so
f(x)≥0
then
y≥0
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
Help will give brainliest
Answer:
C
Step-by-step explanation:
55% is the same thing as 0.55. 0.55(300) equals 165
Hope this helps! Please give brainliest!!
(08.03 MC)
Solve for x using the Quadratic Formula: x2 - 6x + 9 = 0
-bt/6².
-4ac
X=
2a
A. x = 6
B. x = 3
C. x=1
D. x=0
Answer:
B. x = 3
Step-by-step explanation:
You really don't need to quadratic formula for this. It would take too much time. Instead, factor out the equation:
(x -3)(x - 3) = 0
Once you found that, you should see that your roots will equal to 3.
Answer:
x=3solution,
Rewrite x^2-6x+9 in the form a^2-2ab+b^2 where a=X and b=3.
[tex] {x}^{2} - 2(x)(3) + {3}^{2} = 0[/tex]
Use square of difference,
[tex] {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ {(x - 3)}^{2} = 0[/tex]
Take the square root of both sides
[tex]x - 3 = 0[/tex]
Add 2 to both sides,
[tex]x - 3 + 3 = 0 + 3 \\ x = 3[/tex]
hope this helps..
Good luck on your assignment..
Someone with the right answer help me
Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
Help please, will mark brainliest
Answer:
Step-by-step explanation:
LET ORANGES=X
PEARS ARE 3 TIMES =3X
LET CHILDREN=Y
IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X
X=5Y........................I
IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS
8Y+21=3X....................II
SUBSTITUTING FOR X FROM EQN.I..
8Y+21=3*5Y
15Y-8Y=21
7Y=21
Y=3
X==5Y=5*3=15..
SO CHILDREN =3
ORANGES=15
PEARS=3*15=45
THANKYOU AND PLEASE AMRK IT BRAINLIEST
Please help me ASAP!!!
Answer:
Yes
No
Yes
No
Step-by-step explanation:
9, 15 have 3 as the GCF
12, 18 have 6 as the GCF
15, 27 have 3 as the GCF
30, 45 have 15 as the GCF
What is the area of a rectangle with vertices (-8, -2), (-3,-2).(-3,-8), and (-8, -B)?
Answer:
The area of the rectangle would be 20 square units.
Step-by-step explanation:
The distance between the points (-8, -2) and (-3,-2) is 5. This is the length of the rectangle. The distance between (-3,-6) and (-3,-2) is 4. This is the width of the rectangle. To find the area, multiply the length and the width to get the 20 square units as the area.
Answer:
Area = 20
As B = -4
Where -3-1 = -4
We look at x for first measure = -8 -3 = 5
We look at y first sequence change for second measure = -B
x/y = -3-8 /-8 + B
= -3-8 = -8(-8)+B
B = -3+B = -3+1
B= -3+1 = -4
Second measure = -8-4 = 4
Therefore, using both measures in bold : the Area = 4 x 5 = 20
Step-by-step explanation:
pls help will mark brainliest
Answer:
[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]
Step-by-step explanation:
[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]
[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]
[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into
[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into
[tex]123456654321 - 12345654321[/tex] subtract turns into
[tex]111111000000[/tex]
Answer: 111,111,000
Step-by-step explanation: Logically it should be that
-5x[tex]\sqrt{3}[/tex]+11=-34
Answer:
-5√3x = -45
√3x = 9
x = 3√3
In 1995, the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010, the
USPS reported that they handled 1.7 x 10^11 pieces. How many more pieces of mail were
handled in 1995 than in 2010?
Answer:
[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.
Step-by-step explanation:
We are given that in 1995, the USPS approximated that they handled [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex] pieces.
To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.
Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]
Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]
As it is clear that more pieces of mail were handled in 1995.
So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]
= [tex]10^{11} \times (1.8 -1.7)[/tex]
= [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]
Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.
A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?
Answer:
4000 N
Step-by-step explanation:
this question should be in physics actually
m = 1200 kg
initial velocity = vo = 15 m/s
final velocity = vt = 0 because it stops
time needed = t = 4.5
so we can find the Force F by these step
first find deacceleration
vt = vo + at
0 = 15 + a(4.5)
15 = -4.5a
a = - 15/4.5 = - 10/3 = - 3.33 m/s²
F = m.a = 1200 . 10/3 = 4000 N
The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each
month they received $5.50 as a credit on the bill. Which equation and solution shows
the cost of their monthly Internet service before the credit?
3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x - 5.50) = 111.75; the monthly Internet service is $42.75
1/3 (x + 5.50) = 111.75; the monthly Internet service is $31.75
Answer:
3 (x - 5.50) = 111.75
Step-by-step explanation:
They paid $111.75 for three months, that means they minus $5.50 every month which means a total of $16.5 for three months.
So you need use $111.75 plus the credit $16.5 for three months
111.75 + 16.5 = 128.25
Then use divide them by 3, (three months)
128.25 / 3 = 42.75
So they pay $42.75 per month before the credit.
I wish this could help you.
Answer:
b
Step-by-step explanation:
because i just took the test
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31
Answer:
The answer is a
Step-by-step explanation:
Becuase its right
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be: [tex]4b\leq 96[/tex]
Find the value of Y.
[tex]( {x}^{2} + 6x - 5) - ( {8x}^{2} - 7x + 5)[/tex]Find..
I NEED THIS ASAP !! Which expression is modeled by this arrangement of tiles?
30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30
Answer:
C
Step-by-step explanation:
Answer:
30 divided by 3
Step-by-step explanation:
30 positive tiles are divided into 3 sets of 10 positive tiles.
+30 ÷3 = +10