What is the perimeter of trapezoid jklm? startroot 2 endroot startroot 5 endroot units 2 startroot 2 endroot startroot 5 endroot units 9 2 startroot 2 endroot units 9 startroot 2 endroot startroot 5 endroot units
The perimeter of the trapezoid is 9 + √2 + √5 units. then the correct option is D.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The points are J(-7, 4), K(-4, 4), L(-2, 3), and M(-8, 3).
We know that distance between two points will be given as
[tex]\rm D= \sqrt{(x_2 - x_1 )^2 + (y_2 - y_1)^2}[/tex]
The distance between JK will be
[tex]JK = \sqrt{(-4+7)^2 + (0)^2 } = 3[/tex]
The distance between KL will be
[tex]KL = \sqrt{(-2+4)^2 + (3-4)^2 } = \sqrt5[/tex]
The distance between LM will be
[tex]LM = \sqrt{(-8+2)^2 + (0)^2 } = 6[/tex]
The distance between JK will be
[tex]MJ = \sqrt{(-7+8)^2 + (4-3)^2 } = \sqrt2[/tex]
Then the perimeter will be
Perimeter = JK + KL + LM + MJ
Perimeter = 3 + √5 + 6 + √2
Perimeter = 9 + √2 + √5
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
Answer:
the correct answer would be D
Step-by-step explanation:
Please help!
A building is constructed on top of a cliff that is 300 meters high. A person standing on level ground below the cliff observes that the angle of elevation to the top of the building is 72° and the angle of elevation to the top of the cliff is 63°.
a. How far away is the person from the base of the cliff?
b. What is the building’s height?
The distance from the person to the base of the cliff is 269.78 meters.
The height of the building from the base of the cliff is 829.37 meters
The situation forms right angle triangle.
The building is constructed on top the cliff that is 300 meters high.
Right angle triangle:Right angle triangle has one of its sides as 90 degrees. Therefore, the sides can be found using trigonometric ratios.
The height of the building from the cliff is 300m. let's find the hypotenuse side of the angle of elevation formed to the cliff.
Using sin rule,
300 / sin (72 - 63) = y / sin (180 - 162)
300 / sin 9 = y / sin 18
300 sin 18 = y sin 9
y = 300 sin 18 / sin 9
y = 92.7050983125 / 0.156
y = 594.230769231
Therefore, how far the person to the base of the cliff can be calculated as follows;
cos 63 = adjacent / hypotenuse
cos 63 = x / 594.2307
x = 594.2307 cos 63
x = 269.775092454
x = 269.78 meters
Therefore, the distance from the person to the base of the cliff is 269.78 meters.
height of the cliff / 269.78 = tan 63
height of cliff = 269.78 tan 63
height of cliff = 529.37493165
height of cliff = 529.37
The height of the building = 300 + 529.37 = 829.37493165 = 829.37 meters
learn more on right triangle here: https://brainly.com/question/14806301
What is (f - g)(x)?
f(x) = -3x2
g(x) = -5x + 3
Write your answer as a polynomial or a rational function in simplest form.
Work Shown:
(f - g)(x) = ( f(x) ) - ( g(x) )
(f - g)(x) = ( -3x^2 ) - ( -5x+3 )
(f - g)(x) = ( -3x^2 ) - ( -5x) - ( 3 )
(f - g)(x) = -3x^2 + 5x - 3
what's the answer?
3(9+6)+55
Answer:
=> 100
Step-by-step explanation:
=> 3(9+6)+55
=> 3(15)+55
=> 45 +55
=> 100
Is the relationship between the time spent swimming and the number of weeks proportional? Complete the statements
Answer:
lie on goes
Step-by-step explanation:
answer is Lie On For First And Goes For Second
hurry due today, help, please
Use the graph or table to write a linear function that relates y to x
An example for #5 is y=-8x+2, and an answer for 6. is y=6x+9. The formula is y=mx+b so the b is the y-int/y and the m is the slope/x. The x is the variable(the one beside the m).
What is the complementary angles, one angle on is 2 degrees larger than the second angle?
Answer:
44 and 46
Step-by-step explanation:
A complementary angle is 90 degrees
90/2 = 45
If 45 + 45 = 90
44 + 2 = 46
44 + 46 = 90
:)
Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-1, 8)}(−1,8)start color #6495ed, left parenthesis, minus, 1, comma, 8, right parenthesis, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b is at \green{(7, 3)}(7,3)start color #28ae7b, left parenthesis, 7, comma, 3, right parenthesis, end color #28ae7b. What is the midpoint of line segment \overline{AB} AB start overline, A, B, end overline?
Answer:
[tex]M = (3,5.5)[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,8)[/tex]
[tex]B = (7,3)[/tex]
Required
Determine the midpoint
This is calculated as thus
[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Where:
[tex](x_1,y_1) = (-1,8)[/tex]
[tex](x_2,y_2) = (7,3)[/tex]
So, we have:
[tex]M = (\frac{-1+7}{2},\frac{8+3}{2})[/tex]
[tex]M = (\frac{6}{2},\frac{11}{2})[/tex]
[tex]M = (3,5.5)[/tex]
Hence;
The midpoint is (3,5.5)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me I got it right on Khan
Find the coordinates of the midpoint of segment GH with endpoints: G(-2, -8) and H(-3, -12).
Step-by-step explanation:
from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2
=-5÷2 , -20÷2
= -2.5 , -10
Combine these radicals.
Answer:
[tex]14\sqrt{5}[/tex]
Step-by-step explanation:
[tex]8\sqrt{5}+2\sqrt{45}[/tex]
[tex]=8\sqrt{5}+2\sqrt{9\cdot5}[/tex]
Use radical rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]=8\sqrt{5}+2\sqrt{9}\sqrt{5}[/tex]
[tex]=8\sqrt{5}+2\cdot3\sqrt{5}[/tex]
[tex]=8\sqrt{5}+6\sqrt{5}[/tex]
[tex]=(8+6)\sqrt{5}[/tex]
[tex]=14\sqrt{5}[/tex]
Combine these radicals
8√5 + 2√45
O 4√5
O 10√5
O 14√5 ✓
8√5 + 2√45⇢2√5(4 + √9)⇢2√5(4+3)⇢2√5 x 7⇢14√5O 74√5
What is the value of 532x13
Answer:
the value of 532×13=6,916
Which of the following can be used to show that these triangles are congruent?
As a chef in a restaurant you have a recipe that uses 4 cups of flour to make 3 dozen cookies. You want to
make 12 dozen cookies, how many cups of flour do you
need?
Answer:
sorry its a little hard to answer your thing
Step-by-step explanation:
need ponits
PLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
Step-by-step explanation:
" ... at most 5 " ⇒ 5 is max value
[tex]\frac{x}{3}[/tex] ≤ 5
James has 30 doughnuts. He eats 29. How many does he have left?
Answer:
1
Step-by-step explanation:
30
-29
-----
1
the answer is one
Answer:
the answer is 1
Step-by-step explanation:
39
-29
——
01
Find the value of x. Then classify the triangle by its angels
Answer:
x=134
Step-by-step explanation:
As angles in a triangle add up to 180 degrees
also angles on a straight line add up to 180
so 180-(64+70)=46
and 180-46=134
PLEASE GIVE BRAINLIEST AND THANKS
Enzo has $20.79 to spend on fruit. If each kiwi costs $0.99, how many kiwis, , can they purchase?
20.79 ÷ 0.99 = k
which number is correct
19
20
21
22
Answer:
21
Enzo can only buy 21 kiwis from the store.
Step-by-step explanation:
We have to divide
But since it's going too be hard for me to show you the long division, I'm just going to use a multiplication trick!
Let's find what is 20x0.99 first, because I feel like this CAN be the answer.
20x0.99=19.8
So this is not the answer
Now, let's try 22x0.99
22x0.99=21.78
So this is also not the answer.
Now, let's try 21, I think only this one can be the answer.
21x0.99=20.79
So hence, 21 is the right answer. Enzo can buy 21 Kiwis
Thanks!
~[tex]FieryAnswererGT[/tex]~
Answer:
21
Step-by-step explanation:
Given;
Enzo has $20.79 to spend on fruit.
Each Kiwis cost $0.99
Note;
20.79 ÷ 0.99 = k
or
20.79 ÷ 0.99 = Solution
Solve;
[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100[/tex]
[tex]\frac{2079}{99}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}99\overline{|\smallspace2079}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;207\;by\;99\;to\;get\;2[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 99\overline{|\smallspace2079}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace9\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace9\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;99\;by\;99\;to\;get\;1[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\\ 99\overline{|\smallspace2079}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace9\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace9\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace9\emptyspace9}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[RevyBreeze]
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a.25 mi
b. 60 mi
c. 150 mi
d. 300 mi
Can someone help me please, thanks.
Answer: 2.19 pounds
Step-by-step explanation:
35 / 16 is 2.1875, if you round that you get 2.19
Find the distance between nine and one fourths to seven and one half and four to five
Answer: home / math / distance calculator
Distance Calculator
The calculators below can be used to find the distance between two points on a 2D plane or 3D space. They can also be used to find the distance between two pairs of latitude and longitude, or two chosen points on a map.
2D Distance Calculator
Use this calculator to find the distance between two points on a 2D coordinate plane.
Result
Distance: 7.8102496759067
Steps:
Distance (d) = √
Step-by-step explanation:
13) through: (0, -1) and (-5,-1)
A) x + 3y = 3
B) x - 3y = 1
C) 5r - 3y = -3
D) y=-1
Answer:
y=-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-1))/(-5-0)
m=(-1+1)/-5
m=0/-5
m=0
y-y1=m(x-x1)
y-(-1)=0(x-0)
y+1=0
y=0-1
y=-1
Please help, what is x? This is an exponential function, please show the steps!
(25^x)(5^x+3) = 625^x-7
x = ?
Help PLEASE! I will make you brainlist!
Answer: proportional
Step-by-step explanation: it is proportional because you can multiply any number by 7
What is the answer -10b-7=9?
i think it should be -1.6
if you add 7 to 9 it'll be 16.
if you divide -10 by 16 it'll give you -16/10.
simplify it and you should get -8/5 or -1.6.
Thanks for the help <3
The full form of HA is Hypotenuse-angle and it states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Answer ⤵️Hypotenuse of both triangles are equal.The acute angles formed on them are also equal since the sides are equal.Hence, Proved.
Answer:
HA
Step-by-step explanation:
Usually HA congruence is used in right angle triangles .as One common 90° right angle is present if Hypotenuse and adjacent angle remains similar the triangles are similar.
Please help me asappppp
Answer:
<5 ~= <1 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5 ~= <7 - Vertical Angles Theorem
line I || line m - Transitive Property
What is the scale factor from Figure A to Figure B? PLEASE HELP
Answer:
Its 3 bro
Step-by-step explanation:
my guy A is just B scaled 3 times, every number on B times 3 equals their counterpart in A
Whitney calculated that the circular clock on her wall has a circumference of 18.84 inches. What is the clock's area?
Answer:
28.25in
Step-by-step explanation:
my question goes if your good at rounding what is 98.488578018 rounded
Answer:
Im not sure what you want it to be rounded but heres the answers:
Whole number: 98
Tenths: 98.5
Hundredths: 98.49
Thousandths: 98.489
Step-by-step explanation:
A triangle has vertices (1,4), (1,-2), and (-3,-2). what is the approximate perimeter of the triangle
Answer:
Perimeter of Traingle is 10 + 2√5[tex]\\[/tex]
Step-by-step explanation:
Let,
A = (1,4)B = (1,-2) C = (-3,-2)[tex]\\[/tex]
To find the perimeter of the traingele with vertices of A (1,4), B(1, -2) and C(-3,-2). We have to first find the distance between each pair of points, which will give length of the sides.
[tex]\\[/tex]
Using distance formula,
[tex]\\[/tex]
[tex] \dashrightarrow \sf \: \: AB = \sqrt{( x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \: AB = \sqrt{{ {(1 - 1)}^{2} } + {( - 2 - 4)}^{2} } \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \: AB = \sqrt{0 + {( - 6)}^{2} } \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \: AB = \sqrt{36} \\ \\ [/tex]
[tex]\pink{ \dashrightarrow\sf \: \: {\underline{AB = 6 }}}\\ \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \: BC = \sqrt{{ {( - 3 - 1)}^{2} } + {( - 2 + 2)}^{2} } \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \:BC = \sqrt{ {( - 4)}^{2} + 0} \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \:BC = \sqrt{16} \\ \\ [/tex]
[tex] \pink{ \dashrightarrow \sf \: \:{ \underline{ BC = 4 }}}\\ \\ \\ [/tex]
[tex]{\dashrightarrow { \sf \: \: {AC = \sqrt{{ {( - 3 - 1)}^{2} } + {(2 - 4)}^{2}}}} } \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \:AC = \sqrt{ {( - 4)}^{2} + {( - 2)}^{2} } \\ \\ [/tex]
[tex] \dashrightarrow\sf \: \: AC = \sqrt{16 + 4} \\ \\ [/tex]
[tex] \dashrightarrow \sf \: \:AC = \sqrt{20} \\ \\ [/tex]
[tex] \pink{ \dashrightarrow \sf \: \: { \underline{AC = 2 \sqrt{5} }}}[/tex]
[tex]\\[/tex]
Now,
[tex]\\[/tex]
[tex] \dashrightarrow\sf \: \: Perimeter = AB + BC + AC \\ \\ [/tex]
[tex] \dashrightarrow\sf \: \: 6 + 4 + 2√5 \\ \\ [/tex]
[tex] \dashrightarrow\sf \: \: {\pink{ \underline{ \boxed { \pmb{ \sf{ \: 10 + 2√5 \: \: }}}}}}[/tex]
[tex]\\[/tex]
Hence,
Perimeter of Traingle is 10 + 2√5