All categories

3 years ago

What is the value for y?

Mathematics

1 answer:

Sauron [17]3 years ago

8 0

Answer:

y= 14

Step-by-step explanation:

Given that AC= BC, △ABC is an isosceles triangle.

∠CBA= ∠CAB (base ∠s of isos. △)

∠CBA= 50°

∠ACB +50° +50°= 180° (∠ sum of △ABC)

∠ACB +100°= 180°

∠ACB= 180° -100°

∠ACB= 80°

Given that ∠ACB= (5y +10)°,

(5y +10)°= 80°

5y +10= 80

5y= 80 -10 (-10 on both sides)

5y= 70 (simplify)

y= 70 ÷5 (÷5 throughout)

y= 14

You might be interested in

Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)

uranmaximum [27]

Step-by-step explanation:

Consider LHS

$\cos(x) + \sin(x) \tan(x) = \sec(x)$

Apply quotient identies

$\cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x)$

Multiply the fraction and sine.

$\cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x)$

Make cos x a fraction with cos x as it denominator.

$\cos(x) \times \cos(x) = \cos {}^{2} (x)$

$\frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x)$

Pythagorean Identity tells us sin squared and cos squared equals 1 so

$\frac{1}{ \cos(x) } = \sec(x)$

Apply reciprocal identity.

$\sec(x) = \sec(x)$

7 0

3 years ago

Find the derivative of x^2+6x+9 at the point (2,6).

Pachacha [2.7K]

The derivative of the function is 2x+6.
At the particular point (2,6), plug in the x coordinate for x.
2(2)+6 = 10

Hope this helps :)

4 0

3 years ago

You’re help Is greatly appreciated!! I will mark BRAINLIEST as well

Akimi4 [234]

Answer:

1. -4/7

2. 4/3

3. x^2 + 16x + 63

4. x^2 + 19x + 90

Step-by-step explanation:

1. (1, 8) and (8, 4)

slope = m = (8 - 4)/(1 - 8) = -4/7

2. (2, 4) and (5, 8)

slope = m = (8 - 4)/(5 - 2) = 4/3

3. (x + 9)(x + 7) =

= x^2 + 7x + 9x + 63

= x^2 + 16x + 63

4. (x + 10)(x + 9) =

= x^2 + 9x + 10x + 90

= x^2 + 19x + 90

6 0

3 years ago

An account in which money cannot be withdrawn until the maturity date is considered what type of account?

aivan3 [116]

Answer:

Certificate of deposit

Step-by-step explanation:

3 0

3 years ago

What is the final amount if 1548 is increased by 5% followed by a further 6% increase?

stiv31 [10]

Answer:

1,718.28

Step-by-step explanation:

1,548, percentage increased by 11% (percent) of its value = 1,718.28

3 0

4 years ago

What is the value for y? ​

What is the value for y?