Answers
The second one, as shown in the attached picture.
Further explanationThe ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles. The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.- - - - - - - - - -
Notes
The angle-side-side postulate for the congruent triangles doesn't exist because an angle and two sides don't guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non-included angle, then triangles don't seem to be necessarily congruent. This can be why there's no side-side-angle (SSA) and there's no angle-side- side postulate.The AAA (angle-angle-angle) postulate for congruent triangles does not work because having three corresponding angles of equal size is not enough to prove congruence. This principle is usually used for the similarity of two triangles.Learn moreAbout the lengths of the legs of the triangle https://brainly.com/question/13027296 About vertical and supplementary angles https://brainly.com/question/13096411 Calculate the measures of the two angles in a right triangle https://brainly.com/question/4302397
Related Questions
Factor the trinomial below.
5x2 + 29x - 6
Which of the following binomials is a factor of the trinomial?
A. x - 6
B. x + 3
C. x - 3
D. x + 6
Answers
The trinomial 5x^2 + 29x - 6 factors into (5x - 1)(x + 6)
To factor the trinomial 5x2 + 29x - 6, we need to find two numbers that multiply to (5)(-6) = -30 and add to 29. These two numbers are 30 and -1, as 30 - 1 = 29. Thus, we can rewrite the trinomial as 5x2 + 30x - x - 6 and factor by grouping:
(5x2 + 30x) - (x + 6)
5x(x + 6) - 1(x + 6)
The trinomial factors into (5x - 1)(x + 6), which means the correct binomial factor is option D: x + 6.
The base of a ladder is 25 meters due west of a burning building. If the angle of elevation of the ladder is 51°, how long is the ladder (round to the nearest meter)? A)33 meters B) 34 meters C) 39 metersD) 40 meters
Answers
x ThenCos 51 degree = 25/x0.6293
= 25/xx = 25/0.6293 = 39.72 meters≈40 meters from the above deduction, so the correct answer is D, because it is the closest, and that it is correct.
The ladder is approximately 40 meters long to the nearest tenth.
The information will form a right angle triangle.
The base of the ladder 25 meters due west of the burning building is the base(adjacent side) of the triangle formed.
How long is the ladder describe the hypotenuse of the triangle formed.
Therefore, using trigonometric ratio we can find the length of the ladder as follows:
cos 51 = adjacent / hypotenuse
cos 51 = 25 / hypotenuse
hypotenuse = 25 / cos 51°
hypotenuse = 25 / 0.62932039105
hypotenuse = 39.7253932266 meters
hypotenuse ≈ 40 meters
Therefore, the ladder is approximately 40 meters long to the nearest tenth
read more: https://brainly.com/question/3525533?referrer=searchResults
Dan invests £2200 into a savings account. The bank gives 5% compound interest for the first 3 years and 4% thereafter. How much will Dan have after 7 years to the nearest pound?
Answers
interest rates =5% for 3 years, and 4% afterwards
no. of periods = 7
Future value=2200*(1.05)^3(1.04)^(7-3)
=£2979.367 (please round to appropriate number of decimals)
The correct answer, to the nearest pound, is:
2979
Explanation:
Compound interest can be written as an equation of the form
[tex]y=a(1+r)^t[/tex],
where a is the initial deposit, r is the interest rate as a decimal number, and t is the number of years.
For the first 3 years, we have a = 2200, r = 5% = 5/100 = 0.05; and t = 3:
[tex]y=2200(1+0.05)^3
\\
\\=2200(1.05)^3=2546.775[/tex]
This will be the "initial deposit" in the account with 4% interest. This gives us that
a = 2546.775; r = 4% = 4/100 = 0.04; and t = 7-3 = 4:
[tex]y=2546.775(1+0.04)^4
\\
\\=2546.775(1.04)^4=2979.367 \approx 2979[/tex]
helpppppppppppppppppppppppppppppppp
Answers
Second choice is the correct one
Explanation:
Let's check the choices:
Choice 1:
-2^-3 = -1/(2)^3 = -1/8 ........> wrong choice
Choice 2:
(-1/2)^-3 = (-2)^3 = -8 ......> correct choice
Choice 3:
(1/2)^-3 = (2)^3 = 8 ........> wrong choice
Choice 4:
2^-3 = (1/2)^3 = 1/8 ..........> wrong choice
Hope this helps :)
The graph shows the quadratic function f(x) . What is the average rate of change for the quadratic function from x = 6 to x = 8? Enter your answer in the box.
Answers
Answer:
The average rate of change for the quadratic function from x = 6 to x = 8 is -1.
Step-by-step explanation:
The average rate of change for the quadratic function from x₁ to x₂ is defined as
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
From the given graph it is clear that the value of function is 6 at x=6 and the value of function is 4 at x=8.
The average rate of change for the quadratic function from x = 6 to x = 8.
[tex]m=\frac{f(8)-f(6)}{8-6}[/tex]
[tex]m=\frac{4-6}{2}[/tex]
[tex]m=\frac{-2}{2}[/tex]
[tex]m=-1[/tex]
Therefore the average rate of change for the quadratic function from x = 6 to x = 8 is -1.