Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure of angle 6?... Help
Answer:
54°
Step-by-step explanation:
Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.
So angle 6 is 54°.
Alternative
Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.
So angle 4 + angle 6 = 180°.
Find angle 4 first:
180° - angle 3 = angle 4
180° - 54° = 126°
So the measure of angle 6 is
180° - 126° = 54°
Answer:
54 degrees
Step-by-step explanation:
A dilation of (x, y) → (0.75x, 0.75y) is applied to a triangle. The resulting image coordinates are at (−3, −3), (3, 3), and (−2, −3). Which of the following could be a coordinate of the original figure?
(−1,−1)
(−4,−4)
(−1.5,−2.25)
(2.7,4)
Answer:
the third one
Step-by-step explanation:
3
Answer:
The third one
Step-by-step explanation:
3
log x + log (x-3) = 1
Given:
The logarithmic equation is:
[tex]\log x+\log (x-3)=1[/tex]
To find:
The value of x.
Solution:
Properties of logarithm used:
[tex]\log a+\log b=\log (ab)[/tex]
[tex]\log 10=1[/tex]
[tex]\log x[/tex] is defined for [tex]x>0[/tex].
We have,
[tex]\log x+\log (x-3)=1[/tex]
Using properties of logarithm, we get
[tex]\log [x(x-3)]=\log 10[/tex]
[tex]x^2-3x=10[/tex]
Splitting the middle term, we get
[tex]x^2-5x+2x-10=0[/tex]
[tex]x(x-5)+2(x-5)=0[/tex]
[tex](x-5)(x+2)=0[/tex]
[tex]x=5,-2[/tex]
In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:
[tex]x=5[/tex]
Therefore, the value of x is 5.
which angle is supplementary to.... asap plz
Answer:
Angle AGC
Step-by-step explanation:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
I need this done for a test, and if someone can answer one of my past questions, thank you
Answer: #1 D 60 2# H
Step-by-step explanation:
The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is the distance that the particle traveled on this time interval?
Answer:
0.44237 units
Step-by-step explanation:
Given
[tex]v(t) = e^t*sin(e^t)[/tex]
[tex]0 \le t \le \frac{\pi}{2}[/tex]
Required
The distance traveled in this interval
We have:
[tex]v(t) = e^t*sin(e^t)[/tex]
The distance is calculated as:
[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]
So, we have:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]
Let:
[tex]u = e^t[/tex]
Differentiate
[tex]\frac{du}{dt} = e^t[/tex]
So:
[tex]dt = e^{-t} du[/tex]
So, we have:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]
Rewrite as:
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]
[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]
Integrate:
[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]
Substitute [tex]u = e^t[/tex]
[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]
Split
[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]
[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]
[tex]d(t) = -0.09793 + 0.5403[/tex]
[tex]d(t) = 0.44237[/tex]
The distance traveled in this interval is: 0.44237 units
dt =
d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt
I just need help graphing!
Ready mathematics lesson 15 quiz
Answer:
question please I'm waiting
In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
1843:6754.9709254546.,657675
Step-by-step explanation:
The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔRST
Now , the measure of s = 620 cm
The measure of side r = 210 cm
And , the measure of angle m∠R = 17°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin ( 17 )° / 210 = sin ( S ) / 620
Multiply by 620 on both sides , we get
sin ( S ) = ( 620 / 210 ) x 0.2923717
On further simplification , we get
sin S = 0.86319265203
Taking inverse on both sides , we get
S = sin⁻¹ ( 0.86319265203 )
S = 59.68°
S = 59.7°
Therefore , the value of S is 59.7°
Hence , the measure of angle m∠S = 59.7°
To learn more about law of sines click :
https://brainly.com/question/13098194
#SPJ3
What is 2x times 3x............................
Answer:
What is 2x times 3x
6x
Step-by-step explanation:
3•2=6
name the property illustrated. 6 + (4+9) = (6 + 4) + 9
Answer:
associative property
Step-by-step explanation:
happy to help :)
Answer:
Associative Property
Step-by-step explanation:
The property says you can regroup the three numbers being added.
(a + b) + c = a + (b + c)
Either add a and b first, then add c, ...
or, add b and c first, then add that result to a.
What is the radius and center for (x - 2)2 + y2 16? 0000 A. r = 16; center is (2,0) B. r = 4; center is (-2,0) C. r = 16; center is (-2,0) D. r = 4; center is (2,0)
Answer:
D. r = 4; center is (2, 0)Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radiusGiven equation:
(x - 2)² + y² = 16Rewrite as:
(x - 2)² + (y - 0)² = 4²The center is (2, 0)
The radius is r = 4
Correct choice is D
General equation
(x-h)²+(y-k)²=r²Where centre is (h,k)
radius is r
(x-2)²+(y-0)²=4²Radius=4
centre (2,0)
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%
The Percentage increase in the purchase price each year is 4.5%.
The given function is:
[tex]V(t)=P(1.045)^t[/tex]
Where P is the purchase price of the baseball card and t is the time.
What is a function?A function is a rule that establishes a relation between two variables.
[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]
[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]
Percentage increase in the purchase price each year
=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]
[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]
[tex]=4.5%[/tex]%
Hence, the Percentage increase in the purchase price each year is 4.5%.
To get more about functions visit:
https://brainly.com/question/2833285
What is the volume of the right prism with height h=14cm, if the base of the prism is a triangle ABC with side AB=9cm and the length of the altitude to that side is ha= 6 cm. It is not 476cm2 btw.
Answer:
378 cm
Step-by-step explanation:
what is 1 half times 2
Answer:
1
Step-by-step explanation:
1/2 x 2 = 1
2 and 2 cancel out, leaving 1/1
Hope that helps! :)
<3 Cin
Answer:
I got the answer one
Step-by-step explanation:
1/2 x 2
2 x 1 = 2 ÷ 2 = 1
I HELP NEED ASAP PLZ HELP ME
Answer:
Step-by-step explanation:
you would do 60 divided by 5 which would get you 12
then you multiply 12 by 3 which would be 36
lastly you would multiply 36 by 7 which would get you
252
Answer:
so first you take 7 and you multiply by 60 bc that way you will have the minutes 60x7=420 then you divide 420 by 5 and get 84 then 84x3=252
Step-by-step explanation:
x+y=1212
x-y=518
please help me with it
Here,
x+y=1212••••••[tex]\bold{equation~I }[/tex] x-y=518••••••[tex]\bold{equation~II }[/tex]ADDITIONALL,both two equation.
we get that,
x+y+x-y=1212+5182x=1730x=865so,
x-y=518865-y=518y=860-518y=347Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
question 5. find the total number of unit cubes that fill the entire prism
Answer:
72
......................
2 in.
2 in.
2 in.
Fine the area
What are two partial products you would add to find 21 x 509?
can anyone explain how this is done.
Answer:
The answer is C. How many 3/4 -pound molds are in 1/3 pound of sand?
Answer:
The answer is C sorry I didnt answer earlier I had to do something and left brainly open-
Ross drives 305 miles in 5 hours. If Ross continues to drive at the sqme rate, how many miles can he drive in 15 hours?
Answer:
915 miles
Step-by-step explanation:
15 divided by 5 is 3
305 times 3
Answer:
915 miles
Step-by-step explanation:
If ross drifves 305 miles in 5 hours, then he would drive 915 miles because 5 hours multiplied by 3 is 15 hours and 305 multibplied by 3 is 915
A park in the shape of a right triangle, one leg of the triangle is 2 kilometers long, the hypotenuse measures 2.9 kilometers how long in kilometers is the other leg?
Answer:
2.1 kilometers
Step-by-step explanation:
Pythagoras' Theorem
a^2 + b^2 = c^2
2^2 + b^2 = 2.9^2
2.9^2 - 2^2 = b^2
8.41 - 4 = 4.41
b = √4.41
b= 2.1
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
prove the following identity showing all steps:
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} =-sec(x)[/tex]
please help fast
Answer:
See solution below
Step-by-step explanation:
Given the expression
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]
Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute
[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]
HELP PLEASE ANSWER I NEED HELP
Answer:
x=30
Step-by-step explanation:
x/5-16=-10
x/5=-10+16
x/5=6
x=6×5
x=30
Find the volume of the cylinder. Use 3.14 to approximate π. Round your answer to the nearest tenth.
V =
Answer:
V≈100.5
Step-by-step explanation:
V=πr2h=π·22·8≈100.53096
Find the length of BC .
72
54
40.5
108
value of n=72
Answer:
∆ABC~DEF
since the side of similar triangle are proportional
[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]
[tex] \frac{54}{9} = \frac{n}{12} [/tex]
6×12=n
n=72
If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
To know more about translation follow
https://brainly.com/question/12861087
#SPJ2
