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3 years ago

70 239 Answer: 2 Submit Answer IN MAJOR NEED OF HELP QUICK

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Answer:

X = 67°

Step-by-step explanation:

The sum of every triangle’s interior angles is 180°. First subtract the given angle, 23°, from 180°. This equals 157°. Next you can see that one of the triangle’s angles has a right angle mark. This mark means it’s a right angle and all right angles are 90°. Take 157° and subtract 90°. This equals 67°. This means the remaining angle equals 67°.

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What value of k makes the statement true?<br> x² (2x³ + 7x²yª) = 2xªyª + 7x³y8?

Nina [5.8K]

By apply the distributive property of multiplication, the value of k which makes the statement true is 1.

<h3>What is the distribution property?</h3>

Mathematically, the distributive property of multiplication is given by tis expression:

x(y + z) = xy + xz.

Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:

k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸

Dividing both sides by the common factor, we have:

k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)

k = 1.

In conclusion, the value of k which makes the statement true is 1.

Read more on distributive property here; brainly.com/question/2807928

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<u>Complete Question:</u>

What value of k makes the statement true?

$x^k$ y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸

5 0

2 years ago

Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line

ale4655 [162]

Answer:

$m\angle 1 =105^\circ\\m\angle 2 =75^\circ$

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

$m\angle 2 =75^\circ $ (Alternate Angles)$

$m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ$

7 0

3 years ago

Solve for x<br> 90°<br> \12x-22)<br> 170°

Y_Kistochka [10]

Answer:

x = 6

Step-by-step explanation:

Using this theorem to get the other angles of the triangle.

Angle at the vertex is equal to half of the angle at the intercepted arc

For the arc with angle 170degrees

Angle at the vertex = 1/2 * 170

Angle at the vertex = 85 degrees

For the arc with angle 90degrees

Angle at the vertex = 1/2 * 90

Angle at the vertex = 45 degrees

Taking the sum of the 3 angles and equating to 180

85 + 45 + 12x - 22 = 180

130-22+12x = 180

12x = 180 - 108

12x = 72

x = 72/12

x = 6

Hence the value of x is 6

5 0

3 years ago

13. Every year in Delaware there is a contest where people create cannons and catapults designed (1 po

jonny [76]

Answer:

max 151.02

after 6.04

Step-by-step explanation:

8 0

3 years ago

(Write the equation for the line that goes through<br> -3,-3) slope 7/3

grin007 [14]

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{7}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{7}{3}}[x-\stackrel{x_1}{(-3)}] \implies y+3=\cfrac{7}{3}(x+3) \\\\\\ y+3=\cfrac{7}{3}x+7\implies y=\cfrac{7}{3}x+4$

3 0

3 years ago