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kari74 [83]
2 years ago
7

Find the size of the angle marked a and b on the diagram

Mathematics
2 answers:
castortr0y [4]2 years ago
8 0

Answer:

<h2>a = 52°</h2><h2>b = 38°</h2>

Step-by-step explanation:

We know:

Angles in a triangle sum to 180°.

Therefore:

52° + 90° + b = 180°

142° + b = 180°    |-142°

<h2>b = 38°</h2>

<em>(look at the picture)</em>

a + b = 90° ⇒ a + 38° = 90°   |-38°

<h2>a = 52°</h2>

or

Angles 52° and a, are alternate interior angles. Therefore they are congruent.

<h2>a = 52°</h2>

Lana71 [14]2 years ago
5 0

Answer:

Step-by-step explanation:

we know that the total angles around the big triangle are 180° so,  we know the right angle is 90° and we are told that one of the angles is 52° so just find the last angle by

180 = 90 + 52 + X

180 - 90 - 52 = X

38 = X

b = 38°

a = 52°

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A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes
Rufina [12.5K]

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value =22+7i.

Step-by-step explanation:

The given expression is

(4+5i)(3-2i)

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i

Which is not correct. The correct steps are shown below.

Using distributive property, we get

4(3-2i)+5i(3-2i)

4(3)+4(-2i)+5i(3)+5i(-2i)

12-8i+15i-10i^2

12+7i-10(-1)       [\because i^2=-1]

12+7i+10

22+7i

Therefore, the correct value of (4+5i)(3-2i) is 22+7i.

4 0
3 years ago
Write an equation in slope-intercept form for the line with slope 8 and y-intercept -8.​
Fofino [41]

Answer:

y = 8x - 8

Step-by-step explanation:

y = mx + b is slope-intercept form

m - slope

b - y-intercept

so if you plug in 8 for m and -8 for b you'll get

y = 8(m)x - 8(b)

Hope this helps!!

6 0
3 years ago
Below are two parallel lines with a third line intersecting them
Salsk061 [2.6K]

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

5 0
3 years ago
Read 2 more answers
PLEASE HELP
Zielflug [23.3K]

Answer:

  • x = 4
  • WX = WY = 25
  • XY = 17

Step-by-step explanation:

The triangle is isosceles with side WX equal to side WY:

  WX = WY

  9x -11 = 7x -3

  2x = 8 . . . . . add 11-7x

  x = 4

Then the side measures are ...

  WX = WY = 7(4) -3 = 28 -3 = 25

  XY = 4(4) +1 = 16 +1 = 17

5 0
2 years ago
6y-5=11 what the answer I’m having a hard time finding it
QveST [7]

6y-5=11

Move -5 to the other side. Sign changes from -5 to +5.

6y-5+5=11+5

6y=11+5

6y=16

Divide by 6 for both sides to get y by itself.

6y/6=16/6

Cross out 6 and 6, divide by 6 and then becomes 1*1*y=y

y=16/6

Reduce 16/6 by dividing by 2

16/2=8

6/2=3

Answer: y=8/3 or y=2 2/3

6 0
3 years ago
Read 2 more answers
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