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3 years ago

Simplify (1 − 4i) − (6 + 9i).

Mathematics

1 answer:

ss7ja [257]3 years ago

8 0

Answer: -5-13i

Work Shown:

(1-4i) - (6+9i) = 1-4i-6-9i

(1-4i) - (6+9i) = (1-6) + (-4i-9i)

(1-4i) - (6+9i ) = -5 - 13i

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2. BT bisects ZABC. MZABT = 4x-16 and m CBT = 2x + 6 Find MZABT.

Paladinen [302]

Answer:

The measure of angle ABT is 28°

Step-by-step explanation:

* Lets revise the bisector of a angle

- If a ray bisects and angle that mean the ray divide the angle into

two equal parts in measure

- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is

equal to the measure of angle CBD

* Lets solve the problem

∵ BT bisects ∠ABC

∴ m∠ABT = m∠CBT

∵ m∠ABT = 4x - 16

∵ m∠CBT = 2x + 6

- Equate the two values

∴ 4x - 16 = 2x + 6

- Lets solve the equation by subtracting 2x from both sides and

adding 16 to both sides

∴ 4x - 2x = 6 + 16

∴ 2x = 22 ⇒ divide both sides by 2

∴ x = 11

- Lets find the measure of angle ABT

∵ m∠ABT = 4x - 16

- Substitute x by 11

∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°

* The measure of angle ABT is 28°

6 0

3 years ago

Help with both questions offering 10 points

Alexandra [31]

Answer:

$\:\mathrm{First\: problem:\:}-2,\\\:\mathrm{Second\: problem:\: }-3$

Step-by-step explanation:

The slope of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}$

Plugging in any two points in the table we have:

First problem:

$m=\frac{1-5}{2-0}=\frac{-4}{2}=\fbox{$-2$}$

Second problem:

$m=\frac{-1-5}{2-0}=\frac{-6}{2}=\fbox{$-3$}$

8 0

3 years ago

Read 2 more answers

Find the value of y. 148° y x y = [?]°

Greeley [361]

Answer:

y=90 degree

Step-by-step explanation:

bcz this triangle is drawn in the semi-circle and the greatest angle of triangle in a semi-circle is always right angle.

8 0

3 years ago

What is the area of the figure? Use 3.14 for π. Round to the nearest hundredth if necessary.

vfiekz [6]

Answer:

81.12 cm²

Step-by-step explanation:

The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.

(3.14 * 4²)/2 + (14 * 8)/2 (Work the operations in parentheses first.)

(3.14 * 16)/2 + 112/2

50.24/2 + 112/2 (Divide 50.24 by 2. Do the same for 112.)

25.12 + 56 (Add 25.12 & 56.)

81.12 cm²

The area of the figure is 81.12 cm².

7 0

3 years ago

Explain why the prices were the same in 13 and 14

kifflom [539]

Answer:

Step-by-step explanation:

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3 years ago