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2 years ago

Which of the following equations is equivalent to 3(2p + 4) – (3p – 4) = 43?

Mathematics

1 answer:

kupik [55]2 years ago

4 0

I just solved it for you and the answer i got was D

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In ΔLMN, \overline{LN}

Karolina [17]

Answer:

$\bold{\angle NLM = 10^\circ}$

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

$\text{m}\angle MNO = (5x-13)^{\circ}$

$\text{m}\angle NLM = (x-4)^{\circ}$ and

$\text{m}\angle LMN = (2x+19)^{\circ}$

To find:

$\text{m}\angle NLM=?$

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

$\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14$

Putting the value of $x$ in $\angle NLM$ .

$\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}$

5 0

3 years ago

Distance between (-10,9) and (-5,2)

jonny [76]

Answer:

8.60 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula:

$\sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} }$

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

$= \sqrt{ {(9 - 2)}^{2} + {( - 10 + 5)}^{2} } \\ = \sqrt{ {7}^{2} + ( - 5)^{2} } \\ = \sqrt{74} \\ = 8.60 \: units \: (3 \: s.f.)$

8 0

3 years ago

Find the value of x and simplify completely

kondaur [170]

The value would be more than c

6 0

3 years ago

Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are t

Maksim231197 [3]

I believe its A.6
42/7=6
Hope this helps☺

6 0

3 years ago

the length , breadth and height of a cuboid is 2x^2y cm,5y^2z cm and 4z^2x cm. The volume of the cuboid is ...............

kondor19780726 [428]

For this case we have that by definition, the volume of a cuboid is given by:

$V = L * A * h$

Where:

L: It's the long

A: It is the width

h: It is the height

According to the problem data we have:

$L = 2x ^ 2y \ cm\\A = 5y ^ 2z \ cm\\h = 4z ^ 2x \ cm$

So, the volume of the cuboid is:

$V = (2x ^ 2y) (5y ^ 2z) (4z ^ 2x)\\V = 10x ^ 2y ^ 3z (4z ^ 2x)\\V = 40x ^ 3y ^ 3z ^ 3$

Finally, the volume of the cuboid is: $V = 40x ^ 3y ^ 3z ^ 3$

Answer:

$V = 40x ^ 3y ^ 3z ^ 3$

7 0

3 years ago