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2 years ago

I need help... I honestly don’t know.

Mathematics

2 answers:

Serhud [2]2 years ago

8 0

Answer:

∡ABC=55°

Step-by-step explanation:

Step 1: Identify all angles

∠A=(x+45)°

∠B=(6x+5)°

∠C=(3x)°

∠ABC=(180-∠B)°=(180-(6x+5))°

Step 2: Use the Triangle Angle Sum Theorem

∠A+∠ABC+∠C=180°

(x+45)+(180-(6x+5))+(3x)=180

x+45+180-6x-5+3x=180

-2x+45+180-5=180

-2x+45-5=0

-2x+40=0

-2x=-40

x=20

Step 3: Plug in x=20 for ∠ABC

∠ABC=(180-(6x+5))°

(180-6(20)-5)°

(180-120-5)°

(60-5)°

55°

So ∡ABC=55°

stepan [7]2 years ago

4 0

Answer:

∡ABC=55°

Step-by-step explanation:

Step 1: Identify all angles

∠A=(x+45)°

∠B=(6x+5)°

∠C=(3x)°

∠ABC=(180-∠B)°=(180-(6x+5))°

Step 2: Use the Triangle Angle Sum Theorem

∠A+∠ABC+∠C=180°

(x+45)+(180-(6x+5))+(3x)=180

x+45+180-6x-5+3x=180

-2x+45+180-5=180

-2x+45-5=0

-2x+40=0

-2x=-40

x=20

Step 3: Plug in x=20 for ∠ABC

∠ABC=(180-(6x+5))°

(180-6(20)-5)°

(180-120-5)°

(60-5)°

55°

So ∡ABC=55°

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stealth61 [152]

Answer:

$\large\boxed{t=\dfrac{11}{21}}$

Step-by-step explanation:

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3 years ago

Write in standard form (×+4)(×-5)=4 find the value of a,b,c

Alex17521 [72]

Answer:

$x^{2}$ - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = $x^{2}$ - 5x

4(x - 5) = 4x - 20

$x^{2}$ - 5x + 4x - 20 = 4

$x^{2}$ - x - 20 = 4

$x^{2}$ - x - 20 - 4 = 0

$x^{2}$ - x - 24 = 0

a = 1

b = 1

c = -24

4 0

3 years ago

If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$