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3 years ago

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The sum of the measures of the angles of a parallelogram is 360°. In the parallelogram on the right, angles A and D have the s

ame measure as well as angles C and B. If the measure of angle C is eight timeseight times the measure of angle A, find the measure of each angle.

2 answers:

max2010maxim [7]3 years ago

8 0

Answer: The angles measure A = 20 degrees, B= 160 degrees, C = 160 degrees and D = 20 degrees.

Step-by-step explanation: One of the properties of a parallelogram is that opposite angles are equal. Hence we are given that angles A and D have the same measurement. Angles C and B also have the same measurement since they are also opposite each other. If angle C is eight times angle A, then angle C can be expressed as 8A, and the same applies to angle B. So, the four angles can be expressed as;

A + A + 8A + 8A = 360

(The sum of the four angles in a parallelogram equals 360 degrees)

2A + 16A = 360

18A = 360

Divide both sides of the equation by 18

A = 20

Therefore angle A = 20 and angle D = 20

Angle B = 160 and angle C = 160

Liono4ka [1.6K]3 years ago

4 0

Answer:

A = 20 degree

B = 160 degree

C = 160 degree

D = 20 degree

Step-by-step explanation:

If the measure of angle C is eight timeseight times the measure of angle A

That means C = 8A

But According to the question, angles A and D have the same measure as well as angles C and B.

That is, B = 8A and D = A

If A + B + C + D = 360

Let us substitute for B, C and D

A + 8A + 8A + A = 360

18A = 360

A = 360/18 = 20

Therefore

A = 20 degree

B = 8 × 20 = 160 degree

C = 8× 20 = 160 degree

D = 20 degree

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How much weight did he gain over the six week period?

kolezko [41]

Convert all to decimals
1/4=0.25
1/2=0.5 so

2 and 1/2=2.5
3=3
-1 and 1/4=-1.25
4 and 1/4=4.25
1 and 1/4=1.25
-1 and 1/2=-1.5
add all together
2.5+3-1.25+4.25+1.25-1.5=8.25=8 and 1/4

answer is 8 and 1/4
B is correct answer
(note, previous user's answer was correct, but had no work shown)

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3 years ago

Find the x- and y- intercepts of the following equation.

Ivanshal [37]

Answer:

The x-intercept is $(4,0)$

The y-intercept is $(0,-3)$

Step-by-step explanation:

Suppose you have a function f:

$f = f(x,y) = 0$

The x-intercept is the value of x when $y = 0$ .

The x-intercept is the value of y when $x = 0$ .

Solution

We have:

$f(x,y) = -3x + 4y = -12$

$-3x + 4y + 12 = 0$

x-intercept

The x-intercept is the value of x when $y = 0$ . So:

$-3x + 4(0) + 12 = 0$

$-3x + 12 = 0$ *(-1)

$3x - 12 = 0$

$3x = 12$

$x = \frac{12}{3}$

$x = 4$

The x-intercept is $(4,0)$

y-intercept

The y-intercept is the value of y when $x = 0$ . So:

$-3(0) + 4y + 12 = 0$

$4y + 12 = 0$

$4y = -12$

$y = \frac{-12}{4}$

$y = -3$

The y-intercept is $(0,-3)$

5 0

3 years ago

Can someone answer this for me please.

nataly862011 [7]

I’m pretty sure the answer would be “C” I’m not sure though

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3 years ago

HELPP!!!!!!!!!!!!!!!!

Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step. The equation is

$8-3\sqrt[5]{x^3}=-7$

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:

$-3\sqrt[5]{x^3}=-15$

The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:

$\sqrt[5]{x^3}=5$

Let's rewrite that radical into exponential form:

$x^{\frac{3}{5}}=5$

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

$(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}$

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:

$x=\sqrt[3]{5^5}$

Let's group that radicad into groups of 3's now to make the simplifying easier:

$x=\sqrt[3]{5^3*5^2}$ because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

$x=5\sqrt[3]{5^2}$ which is the same as:

$x=5\sqrt[3]{25}$

8 0

3 years ago

2. Calculate the energy in joules of a photon whose frequency is 7.55×1014 Hz.

igomit [66]

The energy of a photon is given by
E = h × v

where:
E is the energy in joules/photon
'h' is the constant 6.63 × 10⁻³⁴
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Substitute 'h' and 'v' into the formula we have

E = (6.63×10⁻³⁴) × (7.55×10¹⁴)
E = (6.63×7.55) × (10⁻³⁴ × 10¹⁴)
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E = 50 × 10⁻²⁰ joules/photon

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3 years ago