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2 years ago

Find the measure of the angle with the red dot (NOT X.) Picture Included. Thank you!

Mathematics

1 answer:

Afina-wow [57]2 years ago

3 0

Step-by-step explanation:

I can't see picture very well but as I see first angle is

-4x+5 and second is -13x+39 ( if it isn't, correct me)

sum of this angles is 180° because they are inner angles

(-4x+5) + (-13x+39) = 180

-4x+5 -13x+39=180

-17x+44=180

-17x = 180-44

-17x= 136

x= -8

angle -4x+5 will be:

-4*-8 + 5= 32+5= 37°

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For what value of x is sq 896z^15/225z^6 = xz^4/15

Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

$\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}$

Multiply both sides by $\frac{225}{14z^9}$ we get;

$x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}$

Simplify:

$x^2 = \frac{896 z^{15}}{14 z^{15}} = 64$

$x = \sqrt{64}$

Simplify:

x = 8

Therefore, the value of x is, 8

5 0

2 years ago

Express 0.208 (the 8 is repeating) as a fraction in simplest form. 10 POINT AWARD

den301095 [7]

Let x=0.208bar or 0.20888...

1000x=208.888 and 100x=20.888 so

1000x-100x=208.888-20.888

900x=188

x=47/225

5 0

3 years ago

PLEASE, I NEED HELP!!!! I'LL GIVE BRAINLIEST AWARD

gogolik [260]

The simplified form of this expression is 4D^21

7 0

2 years ago

Read 2 more answers

Which comparison is correct? 140.07 < 140.7 140.07=140.7 140.07 > 140.7

creativ13 [48]

The answer is 140.07< 140.7 I hope I help

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2 years ago

Read 2 more answers

A frog is hopping along in a straight line. Each hop is twice as far as its previous hop. Its first hop covers 1 inch. After 8 h

torisob [31]

The frog's jump represent a geometric series.
The sum of finite geometric series can be solved using the equation:
Sn = ao ( (1-r^n)/(1-r) )

Plugging in the values,
S8 = 1 ( (1-2^8)/(1-2) )
S8 = 255

Therefore, after 8 hops, the frog will have traveled 255 inches

8 0

3 years ago