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3 years ago

Need help with this question

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

Answer:

$\overline{AB} \cong \overline{DB} \:\: and \:\: \overline{AC} \cong \overline{DC}$

Step-by-step explanation:

$\red{ \boxed{ \bold{\overline{AB} \cong \overline{DB} \:\: and \:\: \overline{AC} \cong \overline{DC}}} }\\ \overline{BC} \cong \overline{BC}... (common\: side) \\$

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3-x=5x+21

vlada-n [284]

Answer:

<h3> $\boxed{ \sf{ \bold{- 3}}}$ </h3>

Step-by-step explanation:

$\sf{3 - x = 5x + 21}$

Move 5x to left hand side and change it's sign

⇒ $\sf{ - x - 5x + 3 = 21}$

Move 3 to right hand side and change it's sign

⇒ $\sf{ - x - 5x = 21 - 3}$

Collect like terms

⇒ $\sf{ - 6x = 21 - 3}$

Subtract 3 from 21

⇒ $\sf{ - 6x = 18}$

Divide both sides of the equation by -6

⇒ $\sf{ \frac{ - 6x}{ - 6} = \frac{18}{-6}}$

Calculate

⇒ $\sf{x = -3}$

Hope I helped!

Best regards!!

3 0

3 years ago

Read 2 more answers

Angles E and F are vertical angles. If angle E has a measure of (4x+2)∘, and angle F has a measure of 70∘, what is the value of

Margaret [11]

45 I don’t know if I’m right

4 0

3 years ago

Read 2 more answers

Solve for x and y 1/(x+yi) + 2/(x-yi) = 1+i

aliina [53]

Answer:

Step-by-step explanation:

x+i*y≠0 ==> x≠0 and y≠0

x-i*y≠0 ==> x≠0 and y≠0

We must exclude (0,0) as solution.

$\dfrac{1}{x+i*y} +\dfrac{2}{x-i*y} =1+i\\\\\dfrac{1*(x-i*y)}{(x+i*y)(x-i*y)} +\dfrac{2*(x+i*y)}{(x-i*y)(x+i*y)} =1+i\\\\\\\dfrac{x-i*y+2x+2i*y}{x^2+y^2} =1+i\\\\3x+i*y=(1+i)(x^2+y^2)\\\\3x+i*y=(x^2+y^2)+i(x^2+y^2+i*(x^2+y^2)\\\\\left\{\begin{array}{ccc}3x&=&x^2+y^2\\y&=&x^2+y^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\3x&=&x^2+9x^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\x(10x-3)&=&0\\\end {array}\right.\\\\$

$\left\{\begin{array}{ccc}x&=&0\\y&=&0\\\end {array}\right.\ (to\ exclude) \ or \ \left\{\begin{array}{ccc}x&=&\dfrac{3}{10}\\\\y&=&\dfrac{9}{10}\\\end {array}\right.\\\\Sol=\{(\dfrac{3}{10},\dfrac{9}{10})\}\\$

4 0

3 years ago

This graph appeared in a local newspaper after a recent election, Do you agree with the message in the graph title

Zepler [3.9K]

Answer:

Step-by-step explanation:

You should not agree.

Graphically the graph shows a wide difference, with roberts getting aboyt twice votes as the 2nd candidate. However, the ordinates axis is nos set beginning in 0, is starts in 900. This is a usual trick to make differences look grater than they are.

The three candidates together sum 2840 votes (980+920+940), and the difference between the first 2 is 40 votes, which represents only 1.4% of votes (40/2840).

So, the margin is not wide.

5 0

3 years ago

Read 2 more answers

The sum of 3 sixteens and 2 nines

Vlad1618 [11]

3 sixteens = 16 + 16 + 16 and 2 nines = 9 + 9 so that would be:

16 + 16 + 16 + 9 + 9 = 66
so 66 is your final answer. Hope that helps :D

5 0

4 years ago