All categories

4 years ago

These are two angles that add up to 180° that share a common vertex. What do you call these angles?

Mathematics

1 answer:

Yuri [45]4 years ago

8 0

Answer:

• linear angles

• supplementary angles (all linear angles are supplementary)

Step-by-step explanation:

If the angles share a side and are measured in opposite directions from that side, the non-common edges of these angles form a straight line, so these angles are sometimes called "linear" angles.

Since their sum is 180°, they are always "supplementary" angles. (Supplementary angles need not share a vertex or a side.)

You might be interested in

PLEASE HELP HURRY!!!!!!!

Charra [1.4K]

As it has been given that $x=4+5i$ , $y=2-9i$ .

We need to find the value of the following:

(i) $4x-y$ , substituting the value of 'x' and 'y' in the expression, we get:

$4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i$

$=14+29i$

So, $4x-y=14+29i$

(ii) $-x+3y$ , substituting the value of 'x' and 'y' in the expression, we get:

$-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i$

$=2-32i$

So, $-x+3y=2-32i$

(iii) $x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, for this, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

Using the distributive property of multiplication:

$(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i$

$=8-36i+10i-45i^2$

Now, we know that $i \times i=i^2=-1$

We get, $8-36i+10i-45 \times (-1)=8-26i+45$

$=8+45-26i=53-26i$

Therefore, $x \times y$ = $53-26i$ .

(iv) We have, $2x \times y$ , we need to substitute the value of 'x' and 'y' in the expression, we get:

$2(4+5i)\times (2-9i)$

Again, we can use distributive property of multiplication that says,

$a(b+c)=a \times b+ a \times c$

So,

$2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)$

$=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i$

$=16-72i+20i-90i^2$

since, $i^2=-1$

we get,

$16-72i+20i-90 \times (-1)=16-52i+90$

$=106-52i$

Therefore,

$2x \times y=106-52i$

7 0

4 years ago

Read 2 more answers

What’s the correct answer for this?

valkas [14]

Answer:

The third one.

Step-by-step explanation:

6 0

4 years ago

Help me please.......

worty [1.4K]

Answer:

Mean

Step-by-step explanation:

The mean is usually used when the dot plots, or histograms, are symmetrical and have no outliers.

7 0

3 years ago

Read 2 more answers

Which graph represents the fraction

____ [38]

Based on my eyesight, it looks like C intercepts the y-axis at y = 2.
Since the y-intercept is the deciding factor, let's take 2 · 4⁰

Now, 4⁰ = 1, since anything raised to the power of 0 gives 1.
Now, the intercept is at 2 · 1 = 2.

Hence, (C) is the correct graph.

4 0

3 years ago

If p varies directly with q, and p = 8 when q = 2, what is the value of p when q = 7?

Vsevolod [243]

D.p. 28 I'm guessing?

4 0

4 years ago

Read 2 more answers