Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .
Answers
Answer:
they are always similar because if the vertex of one is congruent to the vertex angle of another.
Step-by-step explanation:
let the congruent vertex angles have measure x. in any triangle the three angles have to add up to 180 so the base angle has to add up to 180-x in both triangles. in a isosceles triangle the base angles are congruent so each base angle has to measure (180-x)/2 in both triangles. therefore all three angle of the 2 triangles are congruent so the triangles must be similar by AA.
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Answer:
40 ft
Step-by-step explanation:
btb it fractions
Answers
is it four hundred twelve or 4.12
1
2
4
6
Answers
1,2,11,22
all factors of 32 are
1,2,4,8,16,32
You can see that the greatest common factor is 2.
$103
$41
$69
Answers
To determine how much Eileen will spend on gasoline, first we need to calculate how many gallons she needs.
If she drives 850 miles and her car gets 23 miles per gallon, we can use the proportion:
850 miles : x gallons = 23 miles : 1 gallon
Crossing the products:
x = 850 miles × 1 gallon ÷ 23 miles
x = 36.96 gallons
Thus, Eileen needs 36.96 gallons of gas. If the cost per gallon of gas is$2.79, using the proportion:
36.96 gallons : x = 1 gallon : $2.79
x = 36.96 gallons × $2.79 ÷ 1 gallon
x = $103.12
x ≈ $103
Answers
Area=π r²
Area=π 7²
Area=π*49
Area=153.938040026
round to the nearest tenth...
Area=153.9
Answers
Answer:
dx/dt= 0.2608 at h= 3.1 m
Step-by-step explanation:
a is the length of the ladder. a=5
by pythagorus theorem
differentiating with respect to t we get
......1
The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom
At h= 3.1
x^2= 6^2-3.1^2 = 9.1×2.9
x= 5.1371 m
given
putting values in 1 to get dx/dt
.
dx/dt= 0.2608 at h= 3.1 m
Answer:
= 0.3
Step-by-step explanation:
The given situation forms a right triangle. We have to use the Pythagorean theorem's statement to solve this problem.
The theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.
Here Hypotenuse = length of the ladder (a)
Legs are h and x.
So, using the Pythagorean theorem, we get
-------------(1)
We are given a = 5 meters, = 0.4
Now plug in a = 5 in the above equation, we get
25 = -----(2)
To find the . Differentiate the above equation with respective to the time t, we get
-------(3)
We know that h = 3.1 and = 0.4.
We can find x, by plug in h = 3.1 from the equation (2)
25 =
x = 3.9
Now plug h = 3.1, x = 3.9 and = -0.4 in the derivative (3) and find dx/dt
Here we represents = -0.4 because it is sliding down
2(3.1)(-0.4) + 2(3.9) = 0
-2.48 + 7.8 = 0
7.8 = -2.48
= -2.48 ÷ -7.8
= 0.3179
When we rounding off to the nearest tenths place, we get
= 0.3