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3 years ago

Explain by step by step pls :( if u type something wrong ill report u

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:

∠ C = ∠BCD = 30°

Step-by-step explanation:

∠ EDF = ∠GFC = 110° [ corresponding angles ]

Now consider triangle BCF

∠FBC + ∠ABC = 180° [ straight line angle ]

∠FBC + 100° = 180°

∠FBC = 180 - 100 = 80°

∠BFC + ∠GFC = 180° [ straight line angle ]

∠BFC + 110° = 180°

∠BFC = 180 - 110 = 70°

Sum of angles of triangle is 180°

Therefore , in triangle BCF

That is ,

∠F + ∠B + ∠ C = 180°

70° + 80° + ∠C = 180°

∠C = 180 - 150 = 30°

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What are some key features of sequence and series graphs?

almond37 [142]

Answer:

The key features that are unique to the graphs of sequences and series are that they are discrete.

Explanation:

That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.

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2 years ago

7(2a−9)−(8a+2) Simplified please anyone?

Verizon [17]

Answer:

6a+61

Step-by-step explanation:

7(2a-9)-(8a+2)

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3 years ago

Determine the number of terms n in each geometric series.<br> 13) a1 = 0.75, r = 4, Sn =1023.75

Gnom [1K]

Answer:

Number of terms: n=6

Step-by-step explanation:

We are given:

a₁ = 0.75

r = 4

Sₙ = 1023.75

We need to find number of terms i.e n

The formula used will be: $S_n=\frac{a(r^n-1)}{r-1}$

Putting values and fining n

$S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096$

We know that $4^6= 4096$

$4^n=4^6$

Using Exponent rule: $a^n=a^b => n=b$

$n=6$

So, Number of terms: n=6

5 0

3 years ago

What is the value of x?

Alexxandr [17]

These are vertical angles, so they are equal in measurements.

First, simplify [2(x + 10)]

Distribute 2 to all terms within the parenthesis

2(x + 10) = 2x + 20

Next, place both expressions equal to each other

2x + 20 = 3x - 30

Solve for x. Isolate the variable. Subtract 3x and 20 from both sides

2x (-3x) + 20 (-20) = 3x (-3x) - 30 (-20)

2x - 3x = -30 - 20

Simplify

-x = -50

Isolate the x. Divide -1 from both sides

-x/-1 = -50/-1

x = 50

50 is your answer for x

hope this helps

6 0

3 years ago

Read 2 more answers

Please help me!!! Brainliest answer!!!

Vsevolod [243]

1.

$g+h=-7+3=\boxed{-4}$

2.

$g-h=-7-3=\boxed{-10}$

3.

$h-g=3-(-7)=3+7=\boxed{10}$

4.

$gh=-7\cdot3=\boxed{-21}$

5.

$g+h^2=-7+3^2=-7+9=\boxed{2}$

6.

$g^2-h=(-7)^2-3=49-3=\boxed{46}$

5 0

3 years ago