Question:
[tex]\triangle[/tex]HLI is shown. Line segment JK is drawn near point L to create [tex]\triangle[/tex]JLK. If [tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK by the SSS similarity theorem, then [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex] is also equal to which ratio?
[tex]\frac{H I}{J K}[/tex] [tex]\frac{H J}{J L}[/tex] [tex]\frac{I K}{K L}[/tex] [tex]\frac{J K}{H I}[/tex]
Answer:
[tex]\frac{H I}{J K}[/tex]
Step-by-step explanation:
Given
HLI ~ [tex]\triangle[/tex]JLK
[tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Required
Which other ratio equals [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
[tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK implies that:
HL, IL and HI corresponds to JL, KL and JK respectively.
So, the possible ratios are:
HL : IL : HI = JL : KL : JK
Convert to fractions
[tex]\frac{HL}{JL} = \frac{IL}{KL} = \frac{HI}{JK}[/tex]
So, from the list of options
[tex]\frac{H I}{J K}[/tex] is equivalent to [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Answer:
its A
Step-by-step explanation:
Find the area of the polygon.
Answer: use formulas for area of square/triangle
Step-by-step explanation:
1st one is a rhombus so use A= BH
which is 5x4 = 20
2nd one is a kite
i assume you have not learnt the formula for kites so u can use triangles (A=1/2BH)
triangle CBA: 1/2 x (6+6)(2) = 12
triangle ACD: 1/2 x (6+6)(10)= 60
area = 12 + 60 = 72
Four equal triangles inside a polygon, so we have to find an area of one triangle and multiply that area with four since there are four triangles in total.
base is 5, height is 4. area of triangle formula: A = (bh) / 2 = (5x4) / 2 = 20 / 2 = 1010 x 4 = 40 (b/c there are four equal triangles)40 square units is the area of green/second polygon________________________________________________________
teal/second polygon:Two equal triangles and another two (different) equal triangles, so we have to find an area of a smaller triangle and multiply that area with two since there are two equal smaller triangles.
Then we have to find an area of a larger triangle and multiply that area with two since there are two larger equal triangles.
(smaller triangle)base is 6, height is 2. area of triangle formula: A = (bh) / 2 = (6x2) / 2 = 12 / 2 = 66 x 2 = 12 (b/c there are two equal smaller triangles)12 square units of the area of two equal smaller triangles (so we're not done yet!)------------------------------------------------------------
(larger triangle)base is 10, height is 6. area of triangle formula: A = (bh) / 2 = (10x6) / 2 = 60 / 2 = 3030 x 2 = 60 (b/c there are two equal larger triangles)60 square units of the area of two equal larger triangles12 + 60 = 72
72 square units is the area of teal/second polygon.
What is the missing value in the table below?
Answer:
11
Step-by-step explanation:
round to nearest hundredth :3,353
Answer:
3,000
Step-by-step explanation:
Since the next number is less than 5 you round down
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
Learn more about the trapezoid here:
https://brainly.com/question/4758162
Michael needs at least $200 to buy airpods. He already has $50. If he saves $15 each week, how many weeks will it take for Michael to reach his goal? Write and solve an inequality.
Answer:
it will take him 3 weeks to reach is goal.
Step-by-step explanation:
if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3
hopethis helped.
sovle????
10x + 15 =
Answer:
x=3
Step-by-step explanation:
10x - 15 = 15
10x = 15 + 15
10x = 30 (divide both sides by 10 to get x)
10x/10 = 30/10
x = 3
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2
Step-by-step explanation:
[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]
If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.
Answer:
height = 8.5 feet
Step-by-step explanation:
Area of a triangle formula:
a=1/2bh
substitute what's given
93.5 = (1/2)22h
93.5=11h
divide both sides by 11 to isolate h
h=8.5 ft
Convert the fraction into a percentage.
3 = %
(Enter number as a whole number without the percentage sign.)
Pls help me
Answer:
75%
Step-by-step explanation:
3 is 75 the way to 4 so it would be 75%
is it weird that im scared of my boy bsf
Answer:
No, not really.
Step-by-step explanation:
It kinda depends on what your best friend does. Do they act suspicious around you? Feel free to talk to me if you need help.
How do snakes get their energy in this food web? A) By consuming toads and mice B) By consuming deer and raccoons C) By consuming grass and deer D) None of the above
Identify the inverse operation:r/4
Answer:
The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r
Step-by-step explanation:
So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed
9514 1404 393
Answer:
s = (8 mi)/(24 min/(60 min/h))
Step-by-step explanation:
Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...
speed = distance/time
Darnell's speed in miles per hour is ...
s = (8 mi)/(24 min/(60 min/h)) . . . . equation representing Darnell's speed
_____
This simplifies to ...
s = 20 mi/h
Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
kyle starts with $15.00 and saves 3.50each day. which expression reprensets the total amount kyle saves?
3.5x+15
Step-by-step explanation:
standard form 2.975 x 10-7-
Help plz!!!!!!! Help plzzzz!!!!!!
Instant Meals sent out free samples to introduce its new product, Sesame soup. Each sample weighs 69 g. The post office charges thirty-six cents for every 23 g of weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight samples?
Answer:
$203.04
Step-by-step explanation:
The computation is shown below:
23 ounces to be $0.36
And,
69 ounces be x
So here x
= (69 ounces × $0.36) ÷ 23 ounces
= $1.08
Since there is 188 samples, so the total value is
= $1.08 × 188
= $203.04
50 points!
-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.
Answer:
I will ask a freind if they know
Step-by-step explanation:
Answer:
t > 5
Step-by-step explanation:
Time : liters
[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]
We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.
En el transcurso del 2015 – 2018 visitaron alrededor de 8700 turistas la playa, de los cuales el 35,10% fueron Extranjeros y el 64,9% fueron nacionales. ¿Cuántos turistas fueron extranjeros y cuantos nacionales?
Answer:
Los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
Step-by-step explanation:
De acuerdo a la información proporcionada, debes calcular el 35,10% del total de turistas para determinar el número de turistas extranjeros y el 64,9% del total de turistas para encontrar el número de turistas nacionales:
8700*35,10%=3054
8700*64,9%=5646
De acuerdo a esto, la respuesta es que los turistas extranjeros fueron 3054 y los turistas nacionales fueron 5646.
A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?
Answer: 43.48 Pounds
Step-by-step explanation:
Given
Elizabeth has 43.479 pounds of soil
Rounding off to the nearest tenth of a pound
Consider 79 which occurs after the decimal place
Converting it to 80 as it is nearest to 80
So, we can write 43.479 as 43.48 Pounds
Please help! The question and answer choices are attached.
If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium
Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?
Answer:
31000
Step-by-step explanation:
hope this helps :)
Answer:
31000
Step-by-step explanation:
if x= 0, 2,-2 find the value of x3-1 help plz
when x =0
[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]
When x =2
[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]
when x =-2
[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]
What is an equation of a circle whose center is (1,4) and diameter is 10?
Question options:
x2 − 2x + y2 − 8y = 83
x2 − 2x + y2 − 8y = 8
x2 + 2x + y2 + 8y = 8
x2 + 2x + y2 + 8y = 83
Answer:
[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]
Step-by-step explanation:
Standard form for a circle is:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex] (h, k) is the center r is the radius
[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]
HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK
=
Teresa works mowing lawns and babysitting. She earns $8.60 an hour for mowing and $8.10 an hour for babysitting. How much will she earn for 7 hours of
mowing and 1 hour of babysitting?
Answer: 68.3
Step-by-step explanation: 8.60x7+8.10=68.3
Find the area of the shaded region.
Answer:
B. x^2-10
Step-by-step explanation:
Your are trying to find the shaded region
You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it
Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square
Equation:
(x*x)-(2*5)
x^2-10
The answer is B
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
