In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?
Answer:8/15
Step-by-step explanation:
Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.
[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]
Further, the sides can be written as,
[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]
Now, the Tan(∠H) can be written as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
Substituting the value for the ∠H in ΔHJG,
[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]
As the ratio is already known, therefore,
[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]
Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
if it is exactly 8:00, How long does it take for the hands of the clock to be pointed in the same direction
Answer:
Hey! do not go to brainly for this, sometimes brainly can be no help and people will scam for points, or maybe try to hack you (pt virus) with those links saying the answers there.. I am not saying this for points but go to https://www.varsitytutors.com/basic_geometry-help/how-to-find-the-distance-between-clock-hands for that
Step-by-step explanation:
So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.
let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5
Who u think is better ???? Kageyama orrr katsuki bakugou
Answer:
Step-by-step explanation:
kageyama. ig
Answer:
Kageyama takes the cake 100%
Step-by-step explanation:
PLZ HELP
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
x 1 2 3 4
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = −9
Geometric, common ratio = 9
Geometric, common ratio = −9
Answer:
The second item is the correct one , i mean arithmetic , common difference = -9 .
Step-by-step explanation:
Hope this helps u , good luck ;)
Answer:
The correct option among the others is B
Step-by-step explanation:
Can somebody plz help answer these last questions correctly (only if u know how to do this) if u can answer the because ones too I would appreciate it
Thanks :2
WILL MARK BRIANLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
∠e = 105° because ∠e and the 105° angle are vertically opposite angles
∠h = 75° because ∠h and the 105° angle are supplementary angles
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles
∠b = 75° because ∠b and ∠f are corresponding angles
∠a = 105° because ∠a and ∠e are corresponding angles
∠d = 75° because ∠d and ∠h are corresponding angles
Step-by-step explanation:
The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines
By sing angle properties, we have;
∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal
∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal
Similarly, we have;
∠b = ∠f = 75° because ∠b and ∠f are corresponding angles
∠a = ∠e = 105° because ∠a and ∠e are corresponding angles
∠d = ∠h = 75° because ∠d and ∠h are corresponding angles
Which of the following is the solution (x,y) of the system of equations x-2y = 2 and -x+2y = 2
Answer:
Step-by-step explanation:
x-2y = 2
-x+2y = 2
set 1st eq. equal to 2nd equation since they both equal 2
x -2y = -x + 2y
2x = 4y
x = 2y
1/2x = y
(x, 1/2x ) :P
Comert
3T=_b
3 tons is equal to
pounds.
Answer:
i think 3 tons equal 6000 pounds
If DE is the midsegment of ABC what is the value of x AND y?
Answer:
3.) x = 4.5
4.) y = 7
Step-by-step explanation:
3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!
[tex]AB = 2(ED)\\9=2(ED)\\4.5=ED[/tex]
Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.
But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have! We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...
[tex]4.5(7+y) = 9y\\31.5 + 4.5y = 9y\\31.5=4.5y\\7=y[/tex]
Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)
Have a nice day. Feel free to Ask questions. Spread The Love.
What is the area of the shape?
Answer:
12 unit sq
Step-by-step explanation:
here's your solution
=> the above picture is trapezium
=> so, area of trapezium = 1/2*sum of parrel side * distance between them
=> area = 1/2(10+2)*2
=> area = 12units^2
hope it helps
Answer:
12
Step-by-step explanation:
The left triangle: 2x2=4 4/2=2
The square in the middle: 2x2=4
The right triangle: 6x2=12 12/2=6
Altogether: 2+4+6=12
What is the length of a in this triangle?
a^2 = 37^2 - 35^2
a^2 = 1369 - 1225
a^2 = 144
___
a = /144
a = 12
In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?
Answer:
1995
Step-by-step explanation:
Percent of students that get more than 8 hours of sleep = 100 -43 = 57%
Number of students that get more than 8 hours of sleep = 57% x 3500
0.57 x 3500 = 1995 students
I need this done, please
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
the heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 feet.
what is the height of a peach tree with a z-score of -0.5?
Enter your answer rounded to the nearest tenth, in the box.
Answer:
i think 1.8 not sure tho
Answer:
Z-score Formula: z = (x - μ)/σ
Plug in: -0.5 = (x - 12.5)/1.8
Solve: -0.5 * 1.8 = x - 12.5
-0.9 = x - 12.5
-0.9 + 12.5
x = 11.6
Therefore, the height of a peach tree with a z-score of -0.5 is 11.6 feet.
NEED HELP ASAP!!!!!!!!!!!!!!
Answer:
its B
Step-by-step explanation:
just run all of them through the equation.
Answer:
A
Step-by-step explanation:
Please help I really need it
Answer: The answer is the Median(D)
Step-by-step explanation:
Answer:
Median
Step-by-step explanation:
Which event is most likely to occur?
A. flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails
B. choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble is red
C. rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six
D. spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one
Evaluate the expression: 5 + 3 × (5 - 2)²
Answer: 32
Step-by-step explanation:
5+3*(5-2)^2
5+3*(3)^2
5+3*9
5+27
32
Answer:
32
Step-by-step explanation:
5 + 3 * (5 - 2)^2
5 + 3 * 3^2
5 + 3 * 9
5 + 2
= 32
Form and solve an equation for .
5x - 7
23
Answer:
x = 6
Step-by-step explanation:
5x - 7 and 23 are vertical angles and are congruent , then
5x - 7 = 23 ( add 7 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Can someone help me with this PLZ
Answer:
6 and 8
Step-by-step explanation:
Answer:
6 and 8
Step-by-step explanation:
Q1: 6 and 8
Q2: 8 and 12
Q3: 12 and 15
Q4: 15 and 20
Brainlist Pls!
Match the statements to the correct ratios. 6 : 5 1 : 3 3 : 4 1 : 4 1 : 2 3 : 1 There are 12 boys and 8 girls in a class. If 2 more girls join the class, what is the new ratio for the number of boys to the number of girls in the class? arrowRight Joshua is 11 years old, and his dad is 33 years old. What is the ratio of Joshua's age to his dad's age? arrowRight Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box? arrowRight
Answer:
Step-by-step explanation:
The one about the boys and girls are 3:1
The one about the balls no h0m0 is 1:4
The one about the chocolates is 1:3
The one about the Joshua and his dad is 3:4
If you be so kind mark me as brainliest
Answer:
A box contains 84 chocolates - 1 : 3
Jemma has 24 balls - 1 : 4
There are 12 boys - 3 : 1
Joshua is 11 years old - 3 : 4
Step-by-step explanation:
This is the correct answer for edmentum
Use your answer from Part I to find the slope of a line going through each set of points. Then
describe the line as positive, negative, zero, or undefined. Show your work and explain your
answer.
A. (5, 7) and (-4,-2)
B. (1, 3) and (1, -10)
Answer:
Step-by-step explanation:
to find the slope of a line that passes for two given points we can use this formula (y2-y1)/(x2-x1). x and y inidcate the coordinates of the two points.
A (-2-7)/(-4-5) = (-9)/-9 = 1 (m is positive)
B (-10-3)/(1-1)) = the denominator is equal to zero, so the division is impossibile. This mean that m is undefined and the line is parallel to y axis
What value of x makes x - 10 = -5 true?
-5
15
5
-15
Answer:
5
Step-by-step explanation:
x - 10 = -5
+ 10. +10
x = 5
hope this helps
A shipping container is in the shape of a right rectangular prism with a length of 5 feet, a width of 12.5 feet, and a height of 14 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Volume of Right rectangular prism = 12 * 8.5 * 4 = 408 cubic feet
Density = Mass / Volume
=> 0.25 = Weight of contents in container / Volume of container
=> 0.25 = Weight of contents in container / 408
=> Weight of contents in container = 0.25 * 408
=> Weight of contents in container = 102 pounds
Answer:
683lb
Step-by-step explanation:
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how
many miles did the bus travel per hour?
Answer:
55 miles per hour
Step-by-step explanation:
.......ur welcome.......
330÷6=55
we divide the amount of miles by the time it took the bust to travel
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel approximately 55 miles per hour.
To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.
Given:
Total distance traveled = 330 miles
Time taken = 6 hours
To find the miles per hour, we divide the total distance traveled by the time taken:
Miles per hour = Total distance traveled / Time taken
Miles per hour = 330 miles / 6 hours
Miles per hour ≈ 55 miles per hour
Therefore, the bus traveled approximately 55 miles per hour.
To know more about "traveled." here
https://brainly.com/question/28779362
#SPJ2
Full Question
A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?
(No graph Needed)
I really need help! On either one!!
Answer:
512 cm3252 cm2Step-by-step explanation:
The first dimension to measure is length. Length is always the longest side of the box that has a flap. The next dimension is width. The width side also has a flap but is always the side shorter than the length. Measure the height of the package. Height is the only dimension without a flap.Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)Perimeter of the rectangle = PQ + QR + RS + SP
= b +l + b + l
= 2b +2l
Again,
ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.
Perimeter of a Rectangle
AB = CD = 5 cm and BC = AD = 3 cm
So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm
It can be written as 5 cm + 5 cm + 3 cm + 3 cm
= (2 × 5) cm + (2 × 3) cm
= 2 (5 + 3) cm
= 2 × 8 cm
= 16 cm
We add length and breadth twice to find the perimeter of a rectangle.
Given f (x) = -4x+6, find f (10)
f ( x ) = - 4x + 6
f ( 10 ) = - 4 ( 10 ) + 6
f ( 10 ) = - 40 + 6
f ( 10 ) = - 34
attach a link if needed<3
Juice: Different
Burritos: Same
Soup: Same
Peanut Butter: Different
non proportional or proportional ?
y= 3.75x + 2