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3 years ago

Congruent figures triangle please help

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

Answer:

x=20

Step-by-step explanation:

Since they are congruent triangles

A = D

3x-10 = 2x+10

Subtract 2x from each side

3x-10-2x = 2x+10-2x

x-10 = 10

Add 10 to each side

x-10+10 = 10+10

x=20

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Which expression is equivalent to (7 + 2i)(-3 - 4i)?

malfutka [58]

B -13 -34i

(7 + 2i)(-3 - 4i)
Take the 7 then times it buy the second bracket 7x(-3-4i) then take 2i from the first bracket and times it with the second bracket 2ix (-3-4i)

Then keep simplifying

5 0

3 years ago

If you could help that would be awesome.

Nadusha1986 [10]

Answer:

2:1

Step-by-step explanation:

4 pencils : 2 pens

simplify...

2 pencils : 1 pen

2:1

Hope this is helpful.

6 0

3 years ago

6n+n+14=0 i need the math

Fofino [41]

Let's solve your equation step-by-step.6n+n+14=0

Step 1: Simplify both sides of the equation.6n+n+14=0Simplify: (Show steps)7n+14=0

Step 2: Subtract 14 from both sides.7n+14−14=0−147n=−14

Step 3: Divide both sides by 7.7n7=−147n=−2

Answer:n=−2

6 0

3 years ago

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

3 years ago

2. A coordinate grid is used to make a map of the park. The location of the drinking fountain is (-4, 2) ; the location of the b

leva [86]

Answer:

(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.

(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.

Step-by-step explanation:

I already explained in the answer. Hope this helps and gets you an 100%

5 0

2 years ago