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zheka24 [161]
3 years ago
7

Plz anserw the question below.

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

x=70

Step-by-step explanation:

Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).

We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:

x+35=105

Subtract both sides by 35

x+35-35=105-35

x=70

Therefore, the value of x is 70 degrees.

I hope this helps!

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I need help finding the factor!<br> please
irina1246 [14]

Answer:

(x-8) (x-4)

Step-by-step explanation:

x^2 -12x +32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8-4 = -12

(x-8) (x-4)

5 0
4 years ago
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Max was on vacation twice as long as Jared and half as long as Wesley. The boys were on vacation a total of 3 weeks. How many da
GuDViN [60]
Lets say W=Wesley, M=Max, and J=Jared.
So your equations are M=2J, 2M=W, and M+J+W=21days(3 weeks)
So substituting M and W into M+J+W=21 gives you 2J+J+2M=21, substitute M again, to get 2J+J+4J=21 so you get 7J=21 so J= 3 days. Using J=3, substitute in to find M, using M=2J, so M=2(3) so M=6 and using that, substitute into 2M=W, so 2(6)=W so W=12. And 12+6+3=21 to check.

6 0
4 years ago
Of the marbles in a bag 5 are white 4 are yellow and 2 are green Sandra will randomly choose one marble from the bag fill in the
castortr0y [4]

Answer:

4, 11, 4/11

Step-by-step explanation:

there are 5 white marbles, 4 yellow marbles, and 2 green marbles.

there are 11 marbles in total, and 4 yellow marbles

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7 0
3 years ago
Determine whether a triangle with given side lengths will be a right triangle?
mr Goodwill [35]

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

4 0
3 years ago
Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo
adell [148]

Answer:

[tex]4608\sqrt{3}[/tex]

Step-by-step explanation:

1. \sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}

2. \sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}   <em>factoring 96</em>

<em>since \sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}</em>

3. \sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>using exponent rule - (a^{b}) ^{c} = a^{bc}</em>

<em> \sqrt{2^{5} } = 2^{5/2}</em>

4. 2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}

<em>doing some simple simplification and 4=2^{2}  and 6=2*3</em>

5. 2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}

<em>collecting the roots on one side and applying exponent rule</em>

6. \sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}

<em>Applying exponents rule on all \sqrt{3} and \sqrt{2}</em>

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<em>combining all powers of 2</em>

8. 2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}

<em>Simplifying</em>

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11. 4608\sqrt{3}

8 0
3 years ago
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