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ELEN [110]
3 years ago
11

I need help with this problem

Mathematics
1 answer:
guapka [62]3 years ago
6 0

Answer:

C

Step-by-step explanation:

in trangle NET the angles are 81 and  34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem

ΔHMJ~ΔNET by AA similarity

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Expand and simplify 5(2x-1)-2(3x+2)
kupik [55]

Answer:

4x - 9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

5(2x - 1) - 2(3x + 2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                               10x - 5 - 6x - 4
  2. Combine like terms (x):          4x - 5 - 4
  3. Combine like terms (Z):         4x - 9
6 0
2 years ago
Isabella has twice as much money invested at 4% as she has invested at 3%, and she has $500 more invested at 5% than she has at
adell [148]
Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500

0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000
3 0
3 years ago
A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the
klasskru [66]

Answer:

Hence, Grasshopper will land on the ground after 1.5 sec.

Step-by-step explanation:

It s given that:

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

h(t)=-t^2+\dfrac{4}{3}t+\dfrac{1}{4}

Now we are asked to find:

In how many seconds will the grasshopper land on the ground?

i.e. we have to find the value of t such that h(t)=0

i.e.

-t^2+\dfrac{4}{3}t+\dfrac{1}{4}=0

i.e. we need to find the roots of the given quadratic equation.

On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

t=-\dfrac{1}{6},t=\dfrac{3}{2}

As time can't be negative hence we will consider:

t=\dfrac{3}{2}=1.5sec

Hence, grasshopper will land on the ground after 1.5 sec.

4 0
3 years ago
Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?
Colt1911 [192]
Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)

3 0
3 years ago
Find the volume of a sphere with a surface<br> area of 2,123.72 square meters.
Hunter-Best [27]
V≈0.27
Surface area is 2
4 0
3 years ago
Read 2 more answers
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