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4 years ago

What other information do you need to prove triangle INF=CAT by the ASA Postulate?

Mathematics

1 answer:

tekilochka [14]4 years ago

7 0

Label the angles on the given figure an x and y and label the unknown angles as z (see the figure below).
Because the sum of angles in a triangle = 180°, angle z is correct for all three triangles.

In order to prove that ΔINF = ΔCAT by the ASA Postulate,
1. We should show that AC = IN, or
2. We should show that AT = NF.
Proving either of the two options means that we have congruent isosceles triangles.

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Match the given factor with it's perfect square.

Svetllana [295]

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6 0

3 years ago

106-meter rope is cut into two segments. The longer segment is

lakkis [162]

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4 0

3 years ago

Solve for x . 955=5x

grin007 [14]

Answer:

191

Step-by-step explanation:

955 = 5x

divide both sides by 5 to get x by itself

x = 191

7 0

3 years ago

Trigonometry Trigonometric Functions Given: Cos θ = (3/5), Find: Csc θ

torisob [31]

The value of $\csc \theta$ is $\frac{5}{4}$

Explanation:

Given that the function $cos \ \theta$ is $cos \ \theta= \frac{3}{5}$

We need to determine the value of $\csc \theta$

The value of Opposite side of the triangle:

The formula for $cos \ \theta$ is given by

$cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}$

The value of opposite side can be determined using the formula,

$opp=\sqrt{hyp^2-adj^2$

$opp=\sqrt{5^2-3^2}$

$opp=\sqrt{25-9}$

$opp=\sqrt{16}=4$

Thus, the value of opposite side is 4

The value of $sin \ \theta$ :

The formula for $sin \ \theta$ is given by

$sin \ \theta= \frac{opp}{hyp}$

Substituting the values, we have,

$sin \ \theta= \frac{4}{5}$

Thus, the value of $sin \ \theta$ is $\frac{4}{5}$

The value of $\csc \theta$ :

The formula for $\csc \theta$ is given by

$csc \ \theta=\frac{1}{sin \ \theta}$

Substituting the values, we have,

$csc \ \theta=\frac{1}{\frac{4}{5}}$

$csc\ \theta= \frac{5}{4}$

Thus, the value of $\csc \theta$ is $\frac{5}{4}$

Hence, the value of $\csc \theta$ is $\frac{5}{4}$

5 0

3 years ago

the seventh and eighth grade bands held a joint concert. together there was 188 band members. if the eight grade band is 3 times

Montano1993 [528]

8th grade = 3x = 3(47) = 141 band members.

7th + 8th = 188

7th = x
8th = 3x

x + 3x = 188 ; x = 47 ; 47 + 3(47) = 47 + 141 = 188
4x = 188
4x / 4 = 188 / 4
x = 47 --> 7th grade

8th grade = 3x = 3(47) = 141

To check:
x + 3x = 188 ; x = 47 ;
47 + 3(47) = 188
47 + 141 = 188
188 = 188

4 0

3 years ago

Read 2 more answers