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ella [17]
2 years ago
12

Please explain how to do this im confused

Mathematics
2 answers:
Anit [1.1K]2 years ago
8 0

Answer:

70° , 70°

Step-by-step explanation:

The 2 angles are corresponding and are congruent, then

23x + 1 = 4 + 22x ( subtract 22x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Then the angles are

23x + 1 = 23(3) + 1 = 69 + 1 = 70°

4 + 22x = 4 + 22(3) = 4 + 66 = 70°

Tamiku [17]2 years ago
6 0

Answer:

70° & 70°

Step-by-step explanation:

These angles are known as corresponding angles. This means they are congruent.

23x + 1 = 4 + 22x

23x + 1 - 22x = 4 + 22x - 22x

x + 1 = 4

x + 1 - 1 = 4 - 1

x = 3

Substitute the value for the variable.

23(3) + 1 = 70

4 + 22(3) = 70

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Answer:

35.5 pounds or less

Step-by-step explanation:

99.7% is a z score of 2.75

(x - 30)/2 = 2.75

x - 30 = 5.5

x = 35.5

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2 years ago
adult tickets for the fall play cost $6 and students cost $3. the drama club so 25% more students tickets than adult tickets to
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S = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets

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4 0
2 years ago
The dogs at a shelter are housed in 4 different rooms. If there are 10 dogs in each room, how many dogs are housed at the shelte
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6 0
3 years ago
work out the equation of the line which passes through the point (-1, 2) and is paralell to the line y = x + 4
notka56 [123]

Step-by-step explanation:

working g and everything is above

hope its of help

3 0
3 years ago
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

sin(\frac{x}{2} + 2x) = cos(2x +\frac{3x}{2})

Or, cos(90° - (\frac{x}{2}+2x)) =  cos(2x +\frac{3x}{2})

SO, (90° - (\frac{x}{2}+2x)) = 2x+\frac{3x}{2}

Or, 90° =  2x+\frac{3x}{2} + \frac{x}{2}+2x

or, 90° = \frac{4x}{2} + 4x

Or,  90° =  \frac{12x}{2}

So, x =  \frac{90}{6} = 15°

∴ sin(\frac{x}{2} + 2x) = sin(\frac{15}{2} + 30)

So, sin(\frac{x}{2} + 2x) = sin\frac{75}{2}

∴  The value of Ф_1 = \frac{75}{2} = 37.5°

Similarly  cos(2x +\frac{3x}{2}) =  cos(30 +\frac{45}{2})

So ,The value of Ф_2 = \frac{105}{2} = 52.5°

∵ β   α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5°  Answer

7 0
3 years ago
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