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Dafna11 [192]
2 years ago
11

Decide whether there is enough information given in the picture to prove that the

Mathematics
1 answer:
hichkok12 [17]2 years ago
8 0

Answer:

Yes they are the same

Step-by-step explanation:

UP and RQ are same as shown in the figure

UT and RS are same as shown in the figure

Angle U and Angle S are same

So two sides and one angle are same

so it is proved by the SAS property

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Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu
Talja [164]
Step 2: <span>Inverse Property of Addition
</span><span>any number added to its opposite will equal zero
</span>in this case + 20 - 20 = 0

answer
Inverse Property of Addition
8 0
3 years ago
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Choose the correct simplification of the expression (2x2y6z5)(5x4y5z3).
erastovalidia [21]

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(2x^2y^6z^5)(5x^4y^5z^3)

Simplify the given expression.

(2x^2y^6z^5)\times (5x^4y^5z^3)

(2\times 5)(x^2x^4)(y^6y^5)(z^5z^3)

10x^{2+4}y^{6+5}z^{5+3}                  [\because x^mx^n=x^{m+n}]

10x^6y^{11}z^8

Therefore correct option is 4.

8 0
3 years ago
Plz Help
GenaCL600 [577]

Begin by factoring 2 out of   2x^2 - 2x - 12 equals 0:

2(x^2 - x - 6) = 0

2(x - 3)(x + 2) = 0.  2 is never zero, but x-3 and x+2 can each be set = to 0:

This results in x = 3 and x = -2.  The equation is true for these two x-values.

6 0
3 years ago
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

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