1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alinara [238K]
3 years ago
9

Help with this problem please!

Mathematics
1 answer:
exis [7]3 years ago
4 0
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24

2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1

3. 180 = 101 = 79° = ∠2

4. 180 - 79 = 101° = ∠3

5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4

6. 180 - 101 = 79° = ∠5

7.  180 - 101 = 79° = ∠6

8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7

9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8

10. Angles 2 and 3 are supplementary, which means they add up to 180°.

I hope this helps! :)

You might be interested in
What’s the answer please
Lunna [17]
You could set up a ratio: 
\frac{186}{3} = \frac{x}{1}
which then becomes: 

6 0
4 years ago
Read 2 more answers
What is 7.25 in expanded form?
Assoli18 [71]

Answer:

expanded form:- 7+2/10+5/100

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ryan is making pancakes for the Drama Club’s pancake breakfast. The table below shows the amount of pancake mix and milk needed
adell [148]
There is no table, and what us the question?
4 0
3 years ago
Number of sides of shape: 4<br>Number of degrees inside:<br>​
Nutka1998 [239]

Answer:

360°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 4, hence

sum of interior angles = 180° × 2 = 360°

4 0
3 years ago
Rationalise the denominator of: (√3 - √2)/(√3+√2) = ?​
marissa [1.9K]

Step-by-step explanation:

<h2><u>Given :-</u></h2>

(√3-√2)/(√3+√2)

<h2><u>To find :-</u></h2>

Rationalised form = ?

<h2><u>Solution:-</u></h2>

Given that

(√3-√2)/(√3+√2)

The denominator = √3+√2

The Rationalising factor of √3+√2 is √3-√2

On Rationalising the denominator then

=> [(√3-√2)/(√3+√2)]×[(√3-√2)/(√3-√2)]

=> [(√3-√2)(√3-√2)]×[(√3+√2)(√3-√2)]

=> (√3-√2)²/[(√3+√2)(√3-√2)]

=> (√3-√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3-√2)²/(3-2)

=> (√3-√2)²/1

=> (√3-√2)²

=> (√3)²-2(√3)(√2)+(√2)²

Since , (a-b)² = a²-2ab+b²

Where , a = √3 and b = √2

=> 3-2√6+2

=> 5-2√6

Hence, the denominator is rationalised.

<h2><u>Answer</u><u>:</u></h2>

Rationalised form of (√3-√2)/(√3+√2) is 5 - 2√6.

<h2><u>U</u><u>sed </u><u>formulae:</u><u>-</u></h2>
  • (a+b)(a-b) = a²-b²
  • (a-b)² = a²-2ab+b²
  • The Rationalising factor of √3+√2 is √3-√2
4 0
2 years ago
Other questions:
  • Find the solution set to the inequality: 2x+5&gt;-7.Express the solution set in set notation and graphically on a number line.
    9·1 answer
  • How would you solve 2x^2 -4x -3 = 0
    8·1 answer
  • If take 2 and half hour to clean around patio what fraction of clean it in 1 hour?
    14·1 answer
  • X= [-b±√(b²-4ac)] / 2a. find the solve<br><br> if you don't know test yourself
    5·2 answers
  • 3 + t = t + 3
    9·1 answer
  • The ratio 2.5 metres to 70 centimetres can be written in the form .<br><br> Find the value of .
    5·1 answer
  • What's <br><img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B4%7D%20" id="TexFormula1" title=" {3}^{4} " alt=" {3}^{4} " align="
    9·1 answer
  • Please help me I will try to give a lot of points
    11·1 answer
  • The price of a cup of coffee has risen to $2.85 today. Yesterday's price was $2.50. Find the percentage increase. Round your ans
    14·1 answer
  • Which expression is equivalent to 7 (a + 2) when a = 6?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!