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3 years ago

Find the measurement of both complementary angles, if:

Mathematics

1 answer:

aniked [119]3 years ago

8 0

We are given one angle is 3 times less than other.

Let us assume one angle measure is x degrees and another is 4x.

Because x is 3x less than 4x. ( We can check 4x-x= 3x)

Sum of complementary angles is 90 degrees.

So, we can setup an equation

First angle measure + first angle = 90 degrees.

x+4x = 90.

Adding x and 4x, we get 5x.

So, 5x = 90.

Dividing both sides by 5, we get

5x/5 = 90.

x= 18.

So, one angle is of 18 degrees.

Another angle = 4x = 4 times 18 = 72 degrees.

So, required angles are of 18 degree and 72 degree.

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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Tema [17]

Answer:

gregefdsgdsfgdfdgddg

Step-by-step explanation:

8 0

2 years ago

Helene is finding the sum (9 10i) (–8 11i). She rewrites the sum as (–8 11)i (9 10)i. Which statement explains the property of a

Andreyy89

She made the mistake of grouping unlike terms and factorizing.

Given that

Helene is finding the sum (9 + 10i) + (–8 + 11i).

She rewrites the sum as (–8 + 11)i + (9 + 10)i.

We have to determine

Which statement explains the property of addition that she made an error in using?

According to the question

The mistake she did is in the second term distributing.

(9+10i) is not equal to (9+10)i

Similarly (-8+11i) is not equal to (-8+11)i.

The correct method she should have done is given below;

Grouping real terms together and imaginary terms together and finding the sum is,

$\rm = (9 + 10i) + (-8 + 11i)\\\\= 9+10i-8+11i\\\\= (9-8) +(10i+11i)\\\\=1+21i$

Hence, she made the mistake of grouping unlike terms and factorizing.

To know more about Complex Number click the link given below.

brainly.com/question/10078818

6 0

2 years ago

What is the product of − 3/11 and − 2/15? please explain.

emmainna [20.7K]

ANSWER

The product is

$\frac{2}{55}$

EXPLANATION

To find the product of

$- \frac{3}{11}$

and

$\frac{ - 2}{15}$

means we should multiply the two fractions.

We multiply to obtain,

$- \frac{3}{11} \times - \frac{2}{15}$

$= - \frac{3}{11} \times - \frac{2}{3 \times 5}$

Cancel the common factors:

$= - \frac{1}{11} \times - \frac{2}{5}$

Now, multiply the numerators separately and the denominators too separately.

$= \frac{ - 1 \times - 2}{11 \times 5}$

This simplifies to,

$= \frac{2}{55}$

4 0

2 years ago

27 PTS + BRAINLIEST. I need all of these questions answered. I will award brainliest to the fastest and most correct answer. I w

erik [133]

2 Simpify:
a -4 X x = -4x
b -10 X y = -10y
c -1 X a = -a
d b X (-1) = -b
e -4 X 2m = -8m
f 6 X -3a = -18a
g -8 X -3a = 24a
h -6m X 4 = -24m
i -7 X 8n = -56n
j -a X -3 = 3a
k 6x / -2 = -3x
l -10m / -5 = 2m
m -24a / 8 = -3a
n 2(m+3)-8=2(m)+2(3)-8=2m+6-8=2m-2
o 5(m-1)+9=5(m)+5(-1)+9=5m-5+9=5m+4
p 3(a-5)+10=3(a)+3(-5)+10=3a-15+10=3a-5
q 4(2x+1)-8x=4(2x)+4(1)-8x=8x+4-8x=4
r 3(10-2x)+3x=3(10)+3(-2x)+3x=30-6x+3x=30-3x
s 4(3-x)+9x=4(3)+4(-x)+9x=12-4x+9x=12+5x

3 Simplify by collecting like terms:
a 7a-5b+2a-6b=(7+2)a+(-5-6)b=(9)a+(-11)b=9a-11b
b 11x-2y-5x+7y=(11-5)x+(-2+7)y=(6)x+(5)y=6x+5y
c 3m+2g-5g-4m=(3-4)m+(2-5)g=(-1)m+(-3)g=-m-3g
d 6a-7-9a+10=(6-9)a+(-7+10)=(-3)a+(3)=-3a+3
e 7p-2q-6p+3q=(7-6)p+(-2+3)q=(1)p+(1)q=p+q
f 3x+7-12-5x=(3-5)x+(7-12)=(-2)x+(-5)=-2x-5
g 2ab+3bc-5ab+bc=(2-5)ab+(3+1)bc=(-3)ab+(4)bc=-3ab+4bc
h 6t^2+3t-5t^2-8t=(6-5)t^2+(3-8)t=(1)t^2+(-5)t=t^2-5t
i 9y-6z-9y+5z=(9-9)y+(-6+5)z=(0)y+(-1)z=0-z=-z
j 2k-3k^2-4k+k^2=(2-4)k+(-3+1)k^2=(-2)k+(-2)k^2=-2k-2k^2
k 10t+5w+t-7w=(10+1)t+(5-7)w=(11)t+(-2)w=11t-2w
l 7a-3b-8a-5b=(7-8)a+(-3-5)b=(-1)a+(-8)b=-a-8b

8 0

3 years ago

Brainliest if correct

Ira Lisetskai [31]

the answer does be A

7 0

2 years ago

Read 2 more answers