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3 years ago

Are these congruent?

Mathematics

2 answers:

vekshin13 years ago

8 0

Answer:

yep

Step-by-step explanation:

by asa congruency

hope this helps you :)

scZoUnD [109]3 years ago

4 0

Yes those to are congruent since they have the same size and angle and shape :D

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4. Find the vertex, focus, and directrix of the parabola. Sketch its graph, showing the focus and the directrix.

valentina_108 [34]

Answer:

vertex - (0,0)

focus - (0, 3/4)

directrix - 3/4

parabola- x^2=-3y

graph of equation:

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2 years ago

Three Questions 1) What does 5 7/8 - 2 3/8 equal? and 2)What does 5 7/12 -4 1/12 equal?3) What does 3 5/10 - 1 3/10 equal?

stiks02 [169]

1) 28/8=3 1/2
2) 18/12=1 1/2
3) 22/10=2 1/5

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2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the st

Zina [86]

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.

Answer:

$Sin\theta = \frac{-15}{17}$

$Tan\theta = \frac{15}{8}$

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

$cos(\theta) = \frac{Adj}{Hyp}$

Where Adj and Hyp represent Adjacent and Hypotenuse

$cos(\theta) = \frac{-8}{17}$

By comparison

$Adj = -8\ and\ Hyp = 17$

Using Pythagoras

$Hyp^2 = Adj^2 + Opp^2$

By Substitution

$17^2 = (-8)^2 + Opp^2$

$289 = 64 + Opp^2$

Subtract 64 from both sides

$289 - 64 = 64 - 64 + Opp^2$

$225 = Opp^2$

Take square roots of both sides

$\sqrt{225} = \sqrt{Opp^2}$

$\sqrt{225} = Opp$

$15 = Opp$

$Opp = 15$

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

$Opp = -15$

From trigonometry

$Sin\theta = \frac{Opp}{Hyp}$

$Sin\theta = \frac{-15}{17}$

Also from trigonometry

$Tan\theta = Sin\theta / Cos\theta$

$Tan\theta = \frac{-15}{17} / \frac{-8}{17}$

$Tan\theta = \frac{-15}{17} * \frac{-17}{8}$

$Tan\theta = \frac{-15 * -17}{17 * 8}$

$Tan\theta = \frac{15 * 17}{17 * 8}$

$Tan\theta = \frac{15}{8}$

5 0

3 years ago

When 25 is added to a number the result is 59 less than 4 times the number.

marin [14]

X - the number

The expression:
$x+25=4x-59$

The solution:
$x+25=4x-59 \\
x-4x=-59-25 \\
-3x=-84 \\
x=\frac{-84}{-3} \\
x=28$

The number is 28.

6 0

3 years ago

Read 2 more answers

Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.

Anika [276]

General form of any equation is of the form AX+BY+C=0

Here A,B,C are three real numbers

THe given equation is

2x +4y+2=3y+5

To make right side equal to 0 we subtract 3y and 5 both sides

2x+4y+2-3y-5=0

Simplifying like terms

2x+y-3=0

Option B is the right answer

4 0

3 years ago

Read 2 more answers