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3 years ago

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Mathematics

2 answers:

Ber [7]3 years ago

8 0

Answer:

Option D.

LA Theorem or Postulates

Explanation:

LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

In $\triangle ACB$ and $\triangle DFC$

$\angle C =\angle F = 90^{\circ}$ [Given]

$\angle B = \angle E$ [Acute angle] [Given]

$BC=EF$ [Given]

By LA theorems or postulates,

$\triangle ACB \cong \triangle DFE$

Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.

notka56 [123]3 years ago

4 0

Answer:

Step-by-step explanation:

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2 years ago

What is the remainder R when the polynomial p(x) is divided by (x - 2)? Is (x - 2) a factor of p(x)?

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3 years ago

The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 7 small, 8 medium, and 4 large

umka21 [38]

Answer:

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

Step-by-step explanation:

We have 7 small shirts, 8 medium shirts and 4 large shirts

Total number of shirts = 7 + 8 + 4 = 19 shirts

The probability that at least one of the first four shirts he checks is a large is given by

P(at least 1 large) = 1 - P(no large)

So first we need to find the probability that the none of the first four shirts he checks are large.

For the first check, there are 15 small and medium shirts and total 19 shirts so,

15/19

For the second check, there are 14 small and medium shirts and total 18 shirts left so,

14/18

For the third check, there are 13 small and medium shirts and total 17 shirts left so,

13/17

For the forth check, there are 12 small and medium shirts and total 16 shirts left so,

12/16

the probability of not finding the large shirt is,

P(no large) = 15/19*14/18*13/17*12/16

P(no large) = 0.352

Therefore, the probability of finding at least one large shirt is,

P(at least 1 large) = 1 - P(no large)

P(at least 1 large) = 1 - 0.352

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

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3 years ago

the line of symmetry of a parabola whose equation is y = ax ^ 2 - 4x + 3 is =-2 what is the value of "a"

77julia77 [94]

Y= ax² -4x +3

-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.

x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1

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3 years ago

The weight of an object on the moon varies directly as its weight on earth. A person who weights 150.94lb on earth weighs 25.66l

Veronika [31]

109.93 lbs

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to find k use the given condition

k = w( moon ) / w( earth ) = $\frac{25.66}{150.94}$