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Liula [17]
3 years ago
14

3 Circle the shapes that are congruent.

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
4 0

Answer:

the 1st and 3rd one.

Step-by-step explanation:

the first 3 are similar in shape but, the 1st and 3rd one are congruent because they have the same <u>size</u> and <u>shape</u>.

dangina [55]3 years ago
3 0

Answer:

Shapes 1 and 3 are congruent

Step-by-step explanation:

The only thing different between them is that the first one is tilted to look different.

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In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios
Ierofanga [76]

Given:

In a right angled triangle ABC the perpendicular and the base measure 3 cm.

To find:

The hypotenuse and three trigonometric ratios.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

Use Pythagoras theorem in triangle ABC.

Hypotenuse^2=(3)^2+(3)^2

Hypotenuse^2=9+9

Hypotenuse=\sqrt{18}

Hypotenuse=3\sqrt{2}

The three trigonometric ratios are

\sin \theta=\dfrac{Perpendicular}{Hypotenuse}

\sin \theta=\dfrac{3}{3\sqrt{2}}

\sin \theta=\dfrac{1}{\sqrt{2}}

Similarly,

\cos \theta=\dfrac{Base}{Hypotenuse}

\cos \theta=\dfrac{3}{3\sqrt{2}}

\cos \theta=\dfrac{1}{\sqrt{2}}

And,

\tan \theta=\dfrac{Perpendicular}{Base}

\tan \theta=\dfrac{3}{3}

\tan \theta=1

Therefore, the hypotenuse is 3\sqrt{2} cm and three trigonometric ratios are \sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1.

6 0
2 years ago
find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step
Artyom0805 [142]

Answer:

-58, -57, -56

Step-by-step explanation:

if the first integer is x,

the second integer must be x + 1 (because it's consecutive)

and the third must be x + 2

Therefore:

3 times the sum of the first and third integers is -342:

3 * (x + (x+2) ) = -342

Combine like terms in parentheses

3 * (2x + 2) = -342

Distribute the 3 to the 2x and the 2:

6x + 6 = -342

Subtract 6 on both sides

6x = -348

Divide by 6 on both sides

x = -58

x + 1 = -57

x + 2 = -56

-58, -57, -56

Check:

3 * (-58 + -56) = 3 * -114 = -342

3 0
2 years ago
What word phrase can you use to represent the algebraic expression 3m
cluponka [151]
A word phrase for 3m would be: 3 times a number m
3 0
3 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying all fractions.
baherus [9]

Answer: y=-3/2x+3

Step-by-step explanation:

First subtract 3x from both sides to start isolating the y.

Then you get 2y=-3x+6

Divide both sides by 2 to get y alone and you get

y=-3/2x+3

5 0
3 years ago
Read 2 more answers
10/2i?<br>(dividing complex numbers)​
Lostsunrise [7]

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

5 0
3 years ago
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