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evablogger [386]
3 years ago
10

Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

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Someone, please help! I'm really confused
11111nata11111 [884]

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

<h3>What is the SAS Congruence Theorem?</h3>

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

<h3>What is the Reflexive Property?</h3>

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

Learn more about the SAS theorem on:

brainly.com/question/2102943

#SPJ1

4 0
2 years ago
The point (6, 7) is reflected across the y axis. what are the coordinates of the reflection
aev [14]

Answer:

Hello!!

the point (6, 7) is reflected across the y axis. what are the coordinates of the reflection?

(-6, 7)

Step by Step Explanation:

When reflecting (x, y) over the x axis is (x, -y)

When reflecting (x, y) over the y axis is (-x, y)

Hope this helps!

7 0
2 years ago
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Twice the greater of two consecutive odd intergers is 13 less than three times the lesser. Find the intergers ​
erastova [34]

Answer:

\large\boxed{15, 16}

Step-by-step explanation:

2 consecutive integers represented as variables:

x, x + 1

Greater one: x + 1

Lesser one: x

Write as an equation

2(Greater) + 13 = 3(Lesser)

Substitute in known values

2(x + 1) + 13 = 3(x)

Multiply

2x + 2 + 13 = 3x

Subtract 2x from both sides of the equation

2 + 13 = x

Add 2 + 13 to simplify

x = 15

Lesser = x = 15

Greater = x + 1 = 15 + 1 = 16

\large\boxed{15, 16}

Hope this helps :)

3 0
3 years ago
A basketball player gets 2 free-throw shots when she is fouled by a player on the opposing team. She misses the first shot 40% o
Semenov [28]
This can easily be answered. Justg use the next formula like this:
<span>0.4*0.05 = 0.02 
</span>So the probability would be of 2% of both shots
Hpe this is very useful
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3 years ago
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Johnny rode his bike 4/7 of a mile from his house to the lake on a straight path. then, he turned around and rode his bike 3/1/8
iren [92.7K]
I hope this helps you



3 1/8=3.8+1/8=25/8


25/8-4/7


25.7/8.7-4.8/7.8


175-32/56


143/56

2 31/56

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3 years ago
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