All categories

2 years ago

Given AC ≅ FE and CB ≅ ED which statement is correct?

Mathematics

2 answers:

san4es73 [151]2 years ago

7 0

Answer: The correct option is

(D) Angle C is larger than angle E.

Step-by-step explanation: Given that in triangles ABC and DEF,

AC ≅ FE and CB ≅ ED.

We are to select the correct statement from the given options.

We have the following inequality theorem.

SSS Inequality Theorem : If two sides of a triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first triangle is greater in measure than the included angle of the second triangle.

In ΔABC and ΔDEF,

the sides BC and AC are congruent to the sides DE and EF respectively,

but AB = 15 in. and DF = 11 in.

That is, AB > DF.

Therefore, the included angle C in ΔABC > the included angle E in ΔDEF.

Thus, angle C is larger than angle E.

Option (D) is correct.

Kisachek [45]2 years ago

3 0

Answer:

D is the correct answer.

Step-by-step explanation:

You might be interested in

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

STatiana [176]

Answer:

D. $3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

Step-by-step explanation:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =$

$= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4$

$= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

4 0

1 year ago

Read 2 more answers

The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. On a

love history [14]

Step-by-step explanation:

Step 1: Convert into expressions

y = one-fourth x minus 1 → $y = \frac{1}{4}x-1$

y = negative one-half x minus one-fourth → $y = -\frac{1}{2}x - \frac{1}{4}$

They intersect at $(1, -\frac{3}{4})$

Answer: Option A, (1, negative three-fourths)

8 0

2 years ago

Read 2 more answers

A set of notations (SSS, SAS, ASA and RHS) is used to describe/prove that two triangles are conjurent. For each pair of triangle

lana66690 [7]

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

4 0

1 year ago

Omari and daisy live on my he same street as their school. Omari lives 3 1/2 blocks west of the school and daisy lives 3 1/4 blo

OLEGan [10]

Omari (3 1/2)___________(0)school____________(3 1/4)daisy

3 1/2 + 3 1/4 = 6 + (1/2 + 1/4) = 6 + (2/4 + 1/4) = 6 3/4 blocks apart <==

5 0

1 year ago

An attempt to establish a video call via some social media app may fail with probability 0.1. If connection is established and i

xxMikexx [17]

Answer:

(1). y = x ~ Exp (1/3).

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

Step-by-step explanation:

Kindly check the attachment to aid in understanding the solution to the question.

So, from the question, we given the following parameters or information or data;

(A). The probability in which attempt to establish a video call via some social media app may fail with = 0.1.

(B). " If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. "

(C). "due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and Y = X otherwise.)."

(1). Hence, for FY(y) = y = x ~ Exp (1/3) for the condition that zero is equal to y = x < 6.

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

The condition to follow in order to solve this question is that y = 0 if x ≤ 0, y = x if 0 ≤ x ≤ 6 and y = 6 if x ≥ 6.

8 0

1 year ago