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makvit [3.9K]
2 years ago
9

The options are 40 80 120 140

Mathematics
1 answer:
Nataly [62]2 years ago
4 0
<h2>Here we go ~ </h2>

According to given figure,

\qquad \sf  \dashrightarrow \: \angle ABC + 60° = 180°

\qquad \sf  \dashrightarrow \: \angle ABC = 180 \degree - 60 \degree

[ By linear pair ]

\qquad \sf  \dashrightarrow \: \angle ABC = 120 \degree

now, we can see that :

\qquad \sf  \dashrightarrow \: \angle ABC + \angle BAC = \angle 1

[ By Exterior angle property of Triangle ]

\qquad \sf  \dashrightarrow \: \angle 1  = 20 \degree + 120 \degree

\qquad \sf  \dashrightarrow \: \angle 1  = 140 \degree

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Mark has 10 pens. Kate has 5 times as many pens as Mark.
Inessa05 [86]

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

5 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!! Do all real numbers have a decimal expansion? Select each correct answer. Some numbers, such as 1 10 ​
ankoles [38]

Answer:

1. Some numbers, such as \frac{1}{10}, have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as \frac{1}{18}, have a decimal expansion that repeats but does not terminate.

Step-by-step explanation:

According to the options, we have,

1. Some numbers, such as \frac{1}{10}, have a decimal expansion that terminates.

It is correct as the decimal expansion of \frac{1}{10} is 0.1, which terminates.

2. All real numbers have a decimal expansion.

This is also correct as both rational and irrational numbers can be written in decimal form.

3. Some numbers, such as \sqrt{13} do not have a decimal expansion

This is not correct as \sqrt{13}=3.605551275 i.e. it has a decimal expansion.

4. Only some real numbers have a decimal expansion.

It is not correct as 2 is correct.

5. Some numbers, such as \frac{1}{18}, have a decimal expansion that repeats but does not terminate.

It is correct as \frac{1}{18}=0.0555555.., which is non-terminating decimal expansion.

So, the correct options are,

1. Some numbers, such as \frac{1}{10}, have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as \frac{1}{18}, have a decimal expansion that repeats but does not terminate.

6 0
3 years ago
What is the explicit rule for the sequence?<br><br><br><br> 12,6,0,−6, …
wolverine [178]
Hello!

First you find the common difference in the sequence

6 - 12 = -6
0 - 6 = -6

The common difference is -6

We can now make the equation

-6(n - 1) + 12

we got the 12 because it is the first number in the sequence

Simplify

-6n + 6 + 12

Simplify

18 - 6n

The answer is B) an = 18 - 6n

Hope this helps!
7 0
3 years ago
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
cestrela7 [59]

Answer:

x=\frac{33}{7}

Step-by-step explanation:

Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}

3 0
3 years ago
What is the slope of the line that passes through (-1,-2) and (-1,-3)
jok3333 [9.3K]
Slope: (y2-y1)/(x2-x1)
(-3+2)/(-1+1) = -1/0 = undefined
The slope is undefined
7 0
3 years ago
Read 2 more answers
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