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wlad13 [49]
2 years ago
5

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

Mathematics
1 answer:
solniwko [45]2 years ago
8 0

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

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3(5+4b)?? Simply the expression
svlad2 [7]
3(5+4b)
3×5=15+3×4=12b=
15+12b
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2 years ago
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Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework, what other fract
True [87]

Answer:

6/21, 12/42

Step-by-step explanation:

Mary spends no more than 21 hours a week doing homework. If she spends 2/7 of the time doing her math homework.

The number of hours she spends doing her maths homework is calculated as:

= 2/7 × 21

= 6 hours

The other fractions that could represent the amount of time Mary spends doing her math homework is given as:

6 hours/21 hours = 6/21

Also , that could be represented as:

12/42

Therefore, the other fractions that could represent the amount of time Mary spends doing her math homework is : 6/21 , 12/42

5 0
3 years ago
What is the greatest common factor of 30a^2b^4 and 24ab^3?
Readme [11.4K]
30a^2b^4 GCF = 2
24ab^3 GCF = 3
6 0
3 years ago
Which inequality comparing two of the expressions below is true when 0.5
Aleonysh [2.5K]

Answer:

<u>Option C</u>

Step-by-step explanation:

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. \frac{x}{3} > \sqrt{x}

If x = 0.6

∴0.6/3  >  √0.6 ⇒  0.2 > 0.77  ⇒ <u>Wrong inequality </u>

B. x³ > 1/x

If x = 0.6

∴ 0.6³ > 1/0.6  ⇒ 0.216 > 1.667  ⇒ <u>Wrong inequality </u>

<u></u>

C. √x > x³

If x = 0.6

∴ √0.6 > 0.6³  ⇒ 0.77 > 0.216  ⇒ <u>True inequality </u>

D. (x/3) > (1/x)

If x = 0.6

∴  0.6/3  >  1/0.6   ⇒ 0.2  > 1.667  ⇒<u> Wrong inequality </u>

<u>So, The true inequality is option C</u>

8 0
2 years ago
For which value of theta is cot (theta) undefined?
sattari [20]

The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.


\cot(x) = \frac{\cos(x)}{\sin(x)}


Since you can't have zero at the denominator, the cotangent function is not defined when the sine is zero.


Let's look at your option:


\sin(90^\circ) = 1, so the cotangent is defined here


\sin(180^\circ) = 0, so the cotangent is not defined here


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\sin(450^\circ) = \sin(360^\circ+90^\circ)=\sin(90^\circ) = 1, so the cotangent is defined here

6 0
3 years ago
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