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pashok25 [27]
3 years ago
8

If < D is a right angle and < E is a right angle, and you said that < D is congruent to < E, the reason would be ___

_. Select one: a. Supplementary Angles are congruent b. All right angles are congruent c. Complementary Angles are congruent
Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

(B)All right angles are congruent

Step-by-step explanation:

Given that:

\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E

The reason for this congruency is that both are right angles and in fact, all right angles are congruent.

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Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational
fiasKO [112]

Answer:

\frac{15 \sqrt{209} }{209}

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

\csc(a)  =  \frac{60}{16}

Apply reciprocal identity csc a = 1/sin a.

\sin(a)  =  \frac{16}{60}

Apply pythagorean identity to find cos a.

( \frac{16}{60})  {}^{2}  +   \cos(x) {}^{2}  = 1

\frac{256}{3600}  +  \cos(x)  {}^{2}  = 1

\cos(x)  {}^{2}  =  \frac{3600}{3600}   -  \frac{256}{3600}

We can simplify both expression

\cos(x)  {}^{2}  =  \frac{225}{225}  -  \frac{16}{225}

\cos(x)  =  \frac{ \sqrt{209} }{15}

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

\sec(a)  =  \frac{15}{ \sqrt{209} }

Rationalize the denominator.

\frac{15}{ \sqrt{209} }  \times  \frac{ \sqrt{209} }{ \sqrt{209} }  =  \frac{15 \sqrt{209} }{209}

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3 years ago
Unit 3 : Piecewise Functions
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Answer:

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6 0
4 years ago
If you are struggling with this question, review Unit 2 PowerPoints.
I am Lyosha [343]

Answer:

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4 0
4 years ago
Employees whose rate of commission increases as their sale increase are paid a ?
Nady [450]

Answer:

B. Graduated commission

Step-by-step explanation:

This statement is the definition of a graduated commission as it is a system of compensating sales people;  their earnings depend on volume of sales. The more they sell the more the percentage of sales earned increases.

Commission on the other hand is an agent fee that a person pays so that the agent can execute a transaction.

5 0
3 years ago
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of X.​
uranmaximum [27]

Answer:

1). x° + 100° + 120° + 100° = 360°

2). x = 40

Step-by-step explanation:

Formula for the sum of the interior angles of a polygon = (n-2)\times 180

Where n = number of sides of the polygon

From the picture attached,

For n = 4,

Sum of the interior angles of the given polygon = (4 - 2) × 180°

                                                                                = 360°

Therefore, equation for the sum of interior angles will be,

x° + 100° + 120° + 100° = 360°

x° + 320° = 360°

x° = 360° - 320°

x° = 40°

6 0
3 years ago
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