Answers
Answer:
A-14
Step-by-step explanation:
All the angles of the triangle ABC are 60°.
Therefore it is an equilateral triangle.
All sides of an equilateral triangle are equal.
Hence, AC = 14
Related Questions
hello help me with this question thanks in advance
Answers
[tex]\bold{\huge{\underline{ Solution\: C }}}[/tex]
Part 5 :-Here,
Two non parallel lines are intersected by three parallel lines .These three parallel lines are also parallel to each other.By using basic proportionality theorem
It states that the line which is parallel to one side of triangle intersects the other two sides then the other two sides are divided in the same ratios. That is,[tex]\sf{\dfrac{ x }{ x + 16 }}{\sf{=}}{\sf{\dfrac{9}{12 + 9}}}[/tex]
By cross multiplication ,
[tex]\sf{ 21x = 9( x + 16)}[/tex]
[tex]\sf{ 21x = 9x + 144}[/tex]
[tex]\sf{ 21x - 9x = 144}[/tex]
[tex]\sf{ 12x = 144}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]
[tex]\bold{ x = 12}[/tex]
Hence, The value of x is 12
Part 6 :-Here also ,
Two non parallel lines are intersected by three parallel lines .These three parallel lines are also parallel to each other.By using basic proportionality theorem :-
[tex]\sf{\dfrac{ 4 }{ 4 + 10 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]
[tex]\sf{\dfrac{ 4 }{ 14 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]
By cross multiplication ,
[tex]\sf{ 4(x + 6) = 6 {\times} 14}[/tex]
[tex]\sf{ 4x + 24 = 84}[/tex]
[tex]\sf{ 4x = 84 - 24}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 60}{4}}}[/tex]
[tex]\bold{ x = 15}[/tex]
Hence, The value of x is 15 .
[tex]\bold{\huge{\underline{ Solution\: D }}}[/tex]
Part 7 :-Here,
Here, JL bisects Angle J in ΔHJK It means Angle JHL = Angle JKLThe length of HJ = 12 , JK = 15 , HL = 18 Therefore,In triangle JHL and In triangle JKL
By using similarity theorem
It states that if the two triangles are similar then the corresponding sides of triangle are in proportion and corresponding angles are equal That is,[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 12 }{ 15 }}{\sf{=}}{\sf{\dfrac{18}{KL}}}[/tex]
By cross multiplication
[tex]\sf{ 12( KL) = 18 {\times} 15}[/tex]
[tex]\sf{ 12(KL) = 270}[/tex]
[tex]\sf{ KL = }{\sf{\dfrac{ 270}{12}}}[/tex]
[tex]\bold{ KL = 22.5 }[/tex]
Hence, The length of KL is 22.5
Part 8 :-Here also,
Here, JL bisects Angle J in ΔHJK It means Angle JHL = Angle JKLThe length of KL = 6 , JK = 20 , HJ = 14Therefore,In triangle JHL and In triangle JKL
By using similarity theorem :-
[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 14 }{ 20}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]
[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]
[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{{\times} 6= HL }}[/tex]
[tex]\sf{\dfrac{ 7 }{ 5 }}{\sf{{\times} 3 = HL }}[/tex]
[tex]\sf{\dfrac{ 21 }{ 5}}{\sf{ = HL }}[/tex]
[tex]\bold{ HL = 4.2 }[/tex]
Hence, The length of HL is 4.2 .
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. At = 3200(1/2) t/14 Find the initial amount in the sample and the amount remaining after 60 hours. Round your answers to the nearest gram as necessary.
Answers
Just calculator work
Step-by-step explanation:
MARK ME AS A BRAINLISTHelp fast I’ll give Brainlyest
Answers
Answer:
47 or 50 will be your answer, my apologies if it's wrong
Step-by-step explanation:
Measure 5 (property taxes) Ballot Measure 5, an initiative passed by Oregon voters in November 1990, fundamentally changed Oregon’s property tax and public school funding systems. Voter approval of Measure 5, and of Measure 47 in 1996 and Measure 50 in 1997, demonstrated the great force of anti-tax fervor in that decade.
f(x) = 3x + 6. Find the inverse of f(x).
Answers
Answer:
[tex]\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
Step-by-step explanation:
We're given,
[tex]\tt f(x) = 3x + 6[/tex]
~
[tex]\tt y=3x+6[/tex]
[tex]\tt x=3y+6[/tex]
[tex]\tt x-6=3y[/tex]
[tex]\tt y=\cfrac{x-6}{3}[/tex]
[tex]\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
~
8
Find the mZYXZ.
Please help!!
Answers
Answer:
Step-by-step explanation:
SEE EXAMPLE p. 323 Find each measure. 3. NA 4. XZ. ... Find each measure. 3. NA 4. XZ 10.2 5. NZ 5.6 M M 7. mZYXZ 6. m LMN 8. mZXLM N 29° Z ...
16÷(2+1/2)^2 PLS HELP ME! WORTH 100 POINTS NEED ANSWER AS MIXED FRACTION
Answers
[tex]\\ \rm\Rrightarrow 16\div (2+1/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div(5/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div 25/4[/tex]
[tex]\\ \rm\Rrightarrow 16\div 4/25[/tex]
[tex]\\ \rm\Rrightarrow 64/25[/tex]
[tex]\\ \rm\Rrightarrow 2\dfrac{14}{25}[/tex]
Answer:
Step-by-step explanation:
16÷(2+1/2)^2
= 4^2÷(2+1/2)^2
= (4÷(2+1/2))^2
= (4÷(5/2))^2
= (4*2÷5)^2
= 64÷25
= 2 14/25
Joshua has 390 photos. He pasted 6 photos in each page. How many pages does
he need to paste all the photos?
Answers
Answer:
65
Step-by-step explanation:
Joshua has 390 photos, you need to divide that number by the each amount of photos in each page to figure out how many pages he needs to paste all them.
So you'd divide it like. 390 / 6
And that gives you 65.
Answer:
65
Step-by-step explanation:
It is 360 divided by 6 and you will get 65 (if you need help with long division contact me)
if A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B).
Answers
Answer:
0.41
Step-by-step explanation:
p (A) = 0.2
P (B) =?
P (A or B) = 0.61
but P (A or B) = P (A) + P (B)
therefore P(B) = P (A or B) - P(B)
= 0.61 - 0.2
= 0.41
Convert 3 days into minutes.
Answers
Answer:
4320
Step-by-step explanation:
We need to multiply the time value by 1440, so 3 x 1440 = 4320.
(6.) The point A(-5,12) lies on the circle whose equation is x + y2 = 169. What is the secant of
an angle drawn in standard position whose terminal rays passes through A?
Answers
The secant of the angle through a point (-5, 3) is -13/5
Equation of a circleThe equation of a circle with center (0,0) is given by
x² + y² = r² where r = radius of circle
Now, comparing this to the equation of the given circle x² + y² = 169,
⇒ r² = 169
r = √169
r = 13
Secant of angle
The secant of the angle through a point (x, y) is secФ = r/x where
r = radius of circle and x = x-coordinate of pointNow for the point A(-5,12), x = -5.
Since r = 13
secФ = r/x
= 13/-5
= -13/5
So, The secant of the angle through a point (-5, 3) is -13/5
Learn more about secant of an angle here:
https://brainly.com/question/14910565
Answer:
Step-by-step explanation:
The value of y varies inversely with x, and y = 12 when x = -4. Find y when x = -2
Answers
Have a nice day :)
URMOEMIANSDASDUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Answers
Answer:
Get some sleep...
Step-by-step explanation:
The Petrol tank of a car was full at the start of a Journey and contained 50 liters. After completing two thirds of the Journey tank contained 14 litres. The Car then took on 30 litres and then completed the Journey. At Constant consumption of petrol, what fraction of a tank remained at the end of the Journey?
Answers
Answer:
I'm sorry, but i cant give the whole answer. But every third of the trip the car loses 18 liters. So sorry i cants say full thing.
Step-by-step explanation:
The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?
Answers
Answer:
71 m x 45 m
Step-by-step explanation:
Length = x, Width = y
x * y = 3,195
2(x + y) = 232, so
x + y = 232/2 = 116, they y = 116 - x
x * (116 - x) = 3,195
116x - x² = 3,195
x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71, 45
so x = 71, y = 45
Trevor makes essential oil using 15 drops of rose oil for every 6 drops of lavender oil.
How many drops of lavender oil would Trevor need if he uses 5 drops of rose oil?
Answers
Answer:
Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Step-by-step explanation:
If 15/5 = 3
Then, all we have to do is 6/3=2.
So hence, Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Thanks
compare, using subtraction and division, the amount of sugar used in two recipes, if Recipe 1 used two and two thirds (2 2/3) cups and Recipe 2 used one and a half (1 1/2) cups. Show your calculations and then write your answers as sentences.
Answers
Answer:
Recipe 1 used [tex]1\frac{7}{9}[/tex] times as many cups and [tex]1\frac{1}{6}[/tex] more cups than Recipe 2.
Step-by-step explanation:
By subtraction:
2 [tex]\frac{2}{3}[/tex] - 1 [tex]\frac{1}{2}[/tex]
[tex]\frac{8}{3}[/tex] - [tex]\frac{3}{2}[/tex]
[tex]\frac{8*2}{3*2}[/tex] - [tex]\frac{3*3}{2*3}[/tex]
[tex]\frac{16}{6}-\frac{9}{6} = \frac{7}{6} =1\frac{1}{6}[/tex] cups more
By division:
2 [tex]\frac{2}{3}[/tex] / 1 [tex]\frac{1}{2}[/tex]
[tex]\frac{8}{3}[/tex] / [tex]\frac{3}{2}[/tex]
[tex]\frac{8}{3}[/tex] * [tex]\frac{2}{3}[/tex]
[tex]\frac{8*2}{3*3}=\frac{16}{9} =1\frac{7}{9}[/tex] times as many cups more
Please help me solve this
Answers
Answer:
Step-by-step explanation:
[g . h[(x) = -8(2x + 3) = -16x - 24
[h . g](x) = 2(-8x) + 3 = -16x + 3
Two parallel lines were cut by a transversal. Which of the following scenarios is NOT a possible result?
Question 1 options:
A a pair of supplementary angles with measures of 105° and 75°
B a pair of alternate exterior angles with measures of 72° and 72°
C a pair of corresponding angles with measures of 30° and 30°
D a pair of same side interior angles with measures of 50° and 50°
Answers
Answer:
Option DStep-by-step explanation:
The first three options are correct.
The last option is incorrect as same side interior angles are supplementary, so they should sum to 180° but in the given option their sum is 100°.
Answer:
D
Step-by-step explanation:
Smae side interior angles are supplementary i.e they have sum 180°
If one is 50°
Then other one must be 180-50=130°
The perimeter of a rectangle is 45 inches. One side of the rectangle
is 5 inches. Find the area of the rectangle.
Answers
Answer: 17.5*5=87.5
Step-by-step explanation:
Since we know that l=5, we can say that:
2(5)=10
45-10=35 , which is the remaining perimeter aside from the 5-inch side lengths.
35=2w
w=17.5 inches
5*17.5=87.5 in^2
So, the area of the rectangle would be 87.5 in^2.
please math help
graphing an integer function and finding its range for a given domain
Answers
Answer:
{-3, -1, 1, 3}
Step-by-step explanation:
The range is the set of function values corresponding to the values in the domain. They are generally sorted into numerical order.
range = {-3, -1, 1, 3}
__
Each value is found by evaluating the function at the domain value:
f(-1) = 1 -2(-1) = 3
f(0) = 1 -0 = 1
f(1) = 1 -2(1) = -1
f(2) = 1 -2(2) = -3
Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the minimum number of days Nadia will need to sell tickets to reach her goal?
Answers
Answer:
9 days is neeeded for Nadia to reach her goal
Please I need more help
Answers
Type the correct answer in the box. Use numerals instead of words.
An arc of circle M has a length of 32π centimeters and the corresponding central angle has a radian measure of 8/9π. What is the radius of the circle?
Answers
Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36
The radius of the circle is 36 centimeters when the arc length is 32 centimeters and the corresponding central angle is (8/9)π radians.
What is an arc of the circle?A circle's arc is defined as a portion or segment of its circumference.
How is the length of an arc calculated?The length of an arc, s. of a circle having a radius r, with the central angle θ, is given as s = rθ.
How to solve the question?In the question, we are given an arc of a circle having a length (s) = 32π centimeters, and the corresponding central angle (θ) = (8/9)π radians.
We are asked to find the radius (r) of the circle.
We know that the arc length is the product of the radius and the central angle, that is, s = rθ.
Following this, we can write:
32π = r(8/9)π,
or, r = (32π*9)/(8π) = 36.
Therefore, the radius of the circle is 36 centimeters.
Learn more about arc length at
https://brainly.com/question/2005046
#SPJ2
PLEASE HELP ME ITS DUE ON SUNDAY NIGHT
Answers
Answer:
Each side will measure 15.5 cm.
The diameter of a basketball rim is 45 centimeters. What is the measurements around the rim. Use 3.14 for π.
Answers
Answer: 141.3
Step-by-step explanation:
I got it correct
Marcus is 48 inches tall. If Marcus is 2/3 of his
older brother's height, how tall is his older brother?
Answers
Answer:
48=2/3
48×3÷2= Marcus older brother height
72 inches
PLEAS GIVE THE APPROPRIATE ANSWERS
Answers
Answer:
Page 1 Answer: [tex]\frac{9}{5}[/tex]
Page 2 Answer: 175
Page 3 Answer: Alicia used 1.5 gallons to travel a distance of 37.5 miles.
Page 4 Answer: I think its 117 but I could be wrong...
Step-by-step explanation:
Page 1:
We just simplify [tex]\frac{36}{20}[/tex] by dividing and get 9/5
Page 2: Since they want to DOUBLE her amount in her savings, we double her current amount (125) and get 250 by adding.
Next, we subtract 125 from 300 in her checking and get 175.
Page 3:
We use the titles so solve the graph.
Answer:
Step-by-step explanation:
Expression 1:
b) [tex]\frac{36}{20} =\frac{36/4}{20/4}=\frac{9}{5}[/tex]
Gabrielle:
$125 * 2 = $250
300 - 125 = $175
c) $175 will be her new checking account balance.
Alicia:
d) Alicia used 1.5 gallons to travel a distance of 37.5 miles.
Kenneth:
Area of a triangle: A = 1/2*b*h (base = 6, height = 6)
A = 1/2 * 6 * 6
A = 1/2 * 36
A = 18 square inches
Since there are two triangles, it would be 18 * 2 = 36 square inches
Area of a rectangle: A = l*w (length = 9, width = 9)
A = 9 * 9
A = 81 square inches
Add the two areas together:
b) 36 + 81 = 117 square inches
Hope this helps!
Please helppppp asap
Answers
2/6= 1/3
1/2 * 1/3 = 1/6 is the probability
Star Wars is showing in two adjacent theaters. One
theater sells 80 adult tickets and 50 child tickets and
collects $1310. The other theater sells 98 adult tickets and
50 child tickets and collects $1526. What is the cost for
each adult ticket and each child ticket? Write and solve a
system of equations.
Answers
Answer:
700$
Step-by-step explanation:
find the value of x y and z in the rhombus below
Answers
Answer:
x = y = 13, z = 18
Step-by-step explanation:
6x + 8 = 86
6x = 86 - 8 = 78, so x = 78/6 = 13
7y + 3 + 86 = 180
7y = 180 - 86 - 3 = 91
y = 91/7 = 13
5z + 4 + 86 = 180
5z = 180 - 86 - 4 = 90
z = 90/5 = 18