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Solnce55 [7]
3 years ago
13

Using the Exterior Angle Theorem, solve for the identified angle. WILL MAKE Brainliest!

Mathematics
2 answers:
Olegator [25]3 years ago
8 0

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

mars1129 [50]3 years ago
3 0

Answer:

\huge\boxed{

Step-by-step explanation:

<u>According to exterior angle theorem:</u>

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

You might be interested in
The height of a triangle is 2 less than 3 times it's base. If the area of the triangle is 48cm squares determine the base and he
Artyom0805 [142]
<h3>answer</h3>

we assume the height of the triangle is x,

so the base length will be x+4

the triangle area will be area = 1/2 ( base * height)

48 = 1/2 (x + 4) x

96 = x2 + 4x

96 + 4 = x2 + 4x + 4

100 = (x + 2)2

10 = x + 2 (for the square 100, we ignore the -10, minus is meaningless in length )

x = 8

x + 4 = 8 + 4 = 12

so the height for the triangle is 8 unit, base is 12 unit,

brainliest ♥️

8 0
3 years ago
the exponent expression 2⁸ has a value of 256.write two other exponential expressions that have the value of 256. explain how yo
Flura [38]

The other two expressions that have value of 256 is 4⁴ and 16².

Given the exponent expression 2⁸ has a value of 256.

We want to write two other exponential expressions that have value 256.

The given expression is 2⁸=256

The above expression can be written as

2×2×2×2×2×2×2×2=256

By using the Associative property of multiplication, we can write them as

(2×2)×(2×2)×(2×2)×(2×2)=256

4×4×4×4=256

4⁴=256

and it can also be written as by using the associative property of multiplication again and get

(2×2×2×2)×(2×2×2×2)=256

16×16=256

16²=256

Hence, the two other exponential expression of 256 other than 2⁸ is 4⁴ and 16².

Learn more about the exponential expression from here brainly.com/question/17003520

#SPJ9

5 0
2 years ago
You apply a fertilizer at 1 ounce for every 3 gallons and use 432.5 gallons of water. How much fertilizer did you use?
ella [17]
Divide 432.5 by 3 which gives you 144.16 ounces
6 0
3 years ago
Factor the quadratic expression 3x to the 2nd power +9x +6
Naily [24]

Answer:

3(x + 1)(x + 2)

Step-by-step explanation:

Given

3x² + 9x + 6 ← factor out 3 from each term

= 3(x² + 3x + 2) ← factor the quadratic

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)

The factors are + 1 and + 2, since

2 × 1 = 2 and 2 + 1 = 3, thus

x² + 3x + 2 = (x + 1)(x + 2) and

3x² + 9x + 6 = 3(x + 1)(x + 2)

6 0
3 years ago
50 points! please help!.​
Sunny_sXe [5.5K]

Answer:

Solution given:

Sin\theta_{1}=\frac{-24}{25}

\frac{opposite}{hypotenuse}=\frac{-24}{25}

equating corresponding value

opposite=-24

hypoyenuse=25

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

25²=(-24)²+x²

625=576+x²

x²=625-576

x=49

x=\sqrt{49}=7

In IV quadrant

Cos angle is positive

Cos\theta_{1}=\frac{adjacent}{hypotenuse}

<h3>Cos\theta_{1}=\frac{7}{25}</h3>
8 0
3 years ago
Read 2 more answers
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