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2 years ago

Which expression is equivalent to

Mathematics

2 answers:

bazaltina [42]2 years ago

7 0

Answer:

Step-by-step explanation:

6m+9q-3mq+4m= 10m + 9q - 3mq = C

Vinvika [58]2 years ago

5 0

Answer: 10m +9q-3mq (it could be switched around...)

Step-by-step explanation:

1. Combine the like terms (6m+4m=10m) since there are no more like terms that's all you do

2. Place answer back into equation

3. Rewrite the equation as a whole

You might be interested in

In triangle ΔABC, ∠C is a right angle and CD is the height to

Zina [86]

Answer:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles $m\angle CDB=m\angle CDA=90$ °

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

$m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha$

From ΔCBD,

$m\angle CBD$ is same as $m\angle B$ .

So, $m\angle CBD=90-\alpha$

$m\angle BCD+m\angle BDC =90\\m\angle BCD+90-\alpha=90\\m\angle BCD=\alpha$

Now, from ΔCAD,

$m\angle CAD$ is same as $m\angle A$

So, $m\angle CAD=\alpha$

$m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha$

Hence, the unknown angles of both the triangles are:

$m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha$

5 0

2 years ago

Marketing consultant - Monthly pay: $1,484.25; What is his annual salary?

Kruka [31]

Just mult. this monthly pay by 12 to obtain the annual salary:

12($1484.25) = $17775 per year (answer)

7 0

3 years ago

What is the distance between (-5, -8) and (-1, -16)

yulyashka [42]

(4,-8)

Step-by-step explanation:

from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16

4 0

3 years ago

The hypotenuse of a right triangle measures 13cm and one of its legs

hoa [83]

Answer:

6.9

Step-by-step explanation:

Use the Pythagorean theorem :

a^2 + b^2 = c^2

so,

11^2 + b^2 = 13^2

121 + b^2 = 169

b^2= 48

b = 6.928

Round to the tenth : 6.9

8 0

2 years ago

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the su

BabaBlast [244]

Answer:

The angle is 50.2°.

Step-by-step explanation:

The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.

Therefore the angle θ formed by the sun's rays and the ground is:

$\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}$

8 0

2 years ago