Proportion of corresponding side is FH/JH = HG/HK = FG/JK.
What are congruent triangles?Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.
Given triangles are similar ΔFGH ∼ ΔJKH
We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.
so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK
and proportion of corresponding side is FH/JH = HG/HK = FG/JK.
Hence the proportion that relates the corresponding side are FH/JH = HG/HK = FG/JK.
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Without doing any calculations, is positive or negative?
Explain your reasoning.
Answer:
what is positive or negative???
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
Method A
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
Method B
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
please i need help finishing this last question or i might get in trouble.
Solve.
w−(−23)=1.06
Enter your answer as a fraction in simplest form in the box.
w =
59/150
How?
w= 59/150
59/150 and -2/3 have to have the same denominators.
So, what I did was, -2/3×50= -100/150.
(Process of a new equation)
59/150-(-100/150)
[The two - signs cross each other out, making it a + ]
59/150+100/150 <- New Equation
__________________________________
59/150+100/150= 159/150
159/150= 1 9/150
9÷150=0.06
1+0.06= 1.06
(PROOF ABOVE)
Answer
add 1.06 = 1 3/50 = 1 3/50 + (-2/3) = 59/150
Step-by-step explanation:
Solve for a
1/12 a +21 = 25
Hope This Helped!
Step-by-step explanation:
First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48
We are left with A being equal to 48.
[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]
xsquare- 2x -4 = 0 using completing Square method
Answer:
........................
If a = 5i and b
-2 + i, then find the value of ab in fully simplified form
42. 51 $\♤ ●gd rgbdyfurudgdhsuxu
HELP ME PLEASEEE!!
48 degrees 96 degrees x =
Answer:
144°
96+48(further away angles)
Answer:
x = 144°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 48° + 96° = 144°
find the angle measure of b
k + a/6 = 3k help b4 i cry my eyes out :’/
Answer:
Hope I explain it well!
Step-by-step explanation:
k + a/6 = 3k
well, I am not sure if we need to find the a, or the k, so lets find both!
--
First the a:
k + a/6 = 3k (subtract k)
a/6 = 2k (Multiply by 6)
a = 12k
--
Last, the k:
k + a/6 = 3k (Subtract k)
a/6 = 2k (Divide by 2)
a/12 = k
--
There you go, I hope you figure it out <3
I need help with this
Answers:
Square = 8Triangle = 3Circle = 2Hope you could get an idea from here.
Doubt clarification - use comment section.
Use Pythagorean theorem to find right triangle si
Find the value of x in the triangle shown below.
C
9
3
The length of x is 3√10 units.
What is Pythagoras Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation connecting the lengths of the sides a, b, and the hypotenuse c. Pythagoras, a Greek philosopher who was born around 570 BC, is remembered by the theorem's name. The theorem has likely been proved the most times of any mathematical theorem using a variety of techniques.
As per the given data:
Perpendicular = 9 units
Base = 3 units
Using Pythagoras theorem to find x (hypotenuse):
[tex]x^2 = 9^2 + 3^2\\x^2 = 81 + 9\\x^2 = 90\\x = \sqrt{90}\\x = \sqrt{9\times10}\\x = 3\sqrt{10}[/tex]units
Hence, the length of x is 3√10 units.
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
$8.00
Step-by-step explanation:
20% of 44.85=8.97
thats the closest to 8.00
Answer:
the answer is 9 dollars cuz the real answer is $8.97 and round to the nearest whole the answer is 9
Step-by-step explanation:
Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *
Answer:
3.27
Step-by-step explanation:
the money he spent in total is 9.53 subtract it to 12.80
The amount of money left after he purchased his lunch is $3.27.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.
The amount of money left will be calculated as,
Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]
Money left = 12.80 - 9.53
Money left = $3.27
Therefore, the amount of money left after he purchased his lunch is $3.27.
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so easy read whats on the image
The answer is: J - 3.08 pounds
Option I ) 3.08 pounds
The reason being that it can't round up with the 2 so we just have that number to the hundredth
Write inequalities for the following:
A) AJ makes at least 20 dollars
B) Lyla has no more than 70 barrettes
C) Rook takes at most 6 presents
D) River gives no less than 8 bones
Answer:
AJ. x<20
Lyla. x> or equal to70
Rook. x>or equal to 6
River. x<8
I hope that this helped
What is the measure of the angle mentioned in the picture below:
In the figure below, what is the measure of
70deg
125deg
55deg
180deg
Answer:
70
Step-by-step explanation:
since the left and right sides are equal length the left and right angles are 55 degrees. and since a triangle adds up to 180 degrees
180-55-55 = 70
I think you can also use sin cos tan to solve this but this way is much easier
What is the domain and range of the function f(x)=17?
A rectangle with a width of 4.6 inches has an area of 23 inches squared. What is the length?
Answer:
length = 5
Step-by-step explanation:
area = length × width
23 = length × 4.6
23 ÷ 4.6 = length
5 = length
it takes a swimmer 72.54 seconds to swim the 100 meter length of the pool going west what was his velocity.
(MUST show work and formula)
Step-by-step explanation:
Solution
(s) = 100m
(t) = 72.54s
(v) = ??
We have,
v = s÷t
v = 100 ÷ 72.54
v = 1.37 m/s
Hence, the velocity of the swimmer is 1.37 m/s
[this is how I personally have to do it but not sure about you]
Help, please!
fdlksjflksdjklfjalk
Answer:
m/_a = 8 , m/_b= 3, m/_c = 4
the mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5
Step-by-step explanation:
4
Add all to get 32
Divide by the number of items which is 8
answer =4
Answer: No, the mean of the data set is 4
(5+ 8+ 1+ 7+ 4+ 3+ 2+ 2)/8
= 32/8
=4
Which compound inequality is represented by the graph?
Answer:
A
Step-by-step explanation:
Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).
24 kg of tomatoes cost $216 how much would one kg cost
Answer:
$9
Step-by-step explanation:
Cost of 24 kg of tomatoes = $216
Cost of 1 kg of tomatoes = 216/24
= $9
Hope it helped you!
3480 divided by 29 what is the answer that its asked
Answer:
120
Step-by-step explanation:
To be honest I just looked it up.
if 6 notebooks cost $15 how much would 1 notebook cost?
Answer:
well altogether it is 15 then it would be 3 dollars each
Step-by-step explanation:
:)
Hi. Can someone pls help
Answer:
(2, 10)
Step-by-step explanation:
If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.
[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]
Hope this helps.
Which ordered pair is the solution set
for 3x + 5y < 10?
Answer:
Slope is -3/5
Slope intercept form: y<-3/5x+2
Step-by-step explanation:
Your going to have a shaded region, with a dashed line
the y intercept will be (2)
the x intercept will be (3.333,0)
Need help Please due soon help I beg
Answer:
the variables mean (1)
Step-by-step explanation:
you need to divide
Answer:
equals y<5?
Step-by-step explanation:
i dont think this will help but i hope it does help
A 100-kg rock is on a 20-m cliff. If the rock is pushed off the cliff, how much kinetic energy does the rock have before hitting the ground?
Answer:
Step-by-step explanation:
19620 J.
Determine the largest integer value of x in the solution of the following inequality.
-5x + 6 > -5
Answer:
x=2
Step-by-step explanation:
-5(2)+6= -4
-4 is greater than -5