All categories

3 years ago

The measure of angle A is 60 more than twice its supplement. Find the

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

Hi there! :)

Answer:

m∠A = D. 140°

Let the supplement of angle A be called "Angle B". Assign this angle a value of "x":

Write an equation to represent the value of Angle A: 60 + 2x

Supplementary angles sum up to 180°, therefore:

180 = x + 60 + 2x

Combine like terms and simplify:

180 = 3x + 60

180 - 60 = 3x

120 = 3x

120/3 = 3x/3

x = 40°.

Find the measure of Angle A by substituting this value into the equation:

2(40) + 60 = 140° = m∠A

You might be interested in

Please help please and thank you

elena55 [62]

Answer:

first option, x < 7

Step-by-step explanation:

- Since the circle is not filled in at 7, that means it doesn't equal 7

hence options 2 and 4 are NOT correct

- Since the arrow is going to the left of 7, all smaller numbers (ex. 6 or 5)

x is less than 7

the third option is incorrect because x is not bigger than 7

4 0

2 years ago

0.002840909 to the nearest tenth

timurjin [86]

The nearest tenth is still zero. Reason being you have to start from the right, and once you round the far most 9 to the zero it turns to a one which is too small of a number to round up.

3 0

3 years ago

Buses on a particular route stop in front of De Anza College every 20 minutes between 3:00 p.m. and 1:00 a.m. The waiting times

Debora [2.8K]

Answer:

1. a. 1

2. a. N(10 , 1. 0050)

Step-by-step explanation:

The average time for the people waiting for the bus will be no longer than 15 minutes. There are 33 people who were observed and their waiting time did not exceed 15 minutes. The probability is therefore 1 for the wait time.

5 0

3 years ago

The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.

FromTheMoon [43]

Step-by-step explanation:

Let ABCD be a rhombus. So, AC (AC = 14 cm) and BD (BD=48 cm) will be its diagonals. Let us assume that diagonals are intersecting at point O.

Since, diagonals of a rhombus are perpendicular bisector.

$\because \: OA = \frac{1}{2} \times AC \\ \\ \therefore \: OA = \frac{1}{2} \times 14 \\ \\ \huge \red{ \boxed{\therefore \: OA = 7 \: cm}} \\ \\ \because \: OB = \frac{1}{2} \times BD \\ \\ \therefore \: OB = \frac{1}{2} \times 48 \\ \\ \huge \red{ \boxed{\therefore \: OB = 24 \: cm}} \\ \\ In \: \triangle OAB, \: \: \angle AOB=90° \\ \therefore \: by \: Pythagoras \: Theorem \\ AB= \sqrt{OA^2 +OB^2 } \\ = \sqrt{7^2 +24^2 } \\ = \sqrt{49+576 } \\ = \sqrt{625 } \\ \huge \orange{ \boxed{\ \therefore \:AB= 25 \: cm.}}$

Hence, length of a side (or all) is 25 cm.

3 0

4 years ago

1 ÷ 1/4 what does that equal<br>

jarptica [38.1K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers