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djverab [1.8K]
3 years ago
7

Angle x is the largest angle in triangle XYZ. Angle y is the smallest angle. How does the sum of the measures of angles y and z

compare to the measure of angle x? Explain.
Mathematics
1 answer:
ratelena [41]3 years ago
3 0
Knowing that the angles of the triangle has a total of 180 degrees, so we can have the following:

x + y + z = 180
y + z = 180 - x
or
x = 180 - y - z

In this approach, we can't give the actual values since there are no values presented.
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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
What does 6÷3/4 equal
alex41 [277]

Answer:

8

Step-by-step explanation:

When you divide by a fraction, you can also say that you are multiplying by the reciprocal.

So 6/\frac{3}{4}=6*\frac{4}{3}

6=\frac{6}{1}

\frac{6}{1}*\frac{4}{3}=\frac{24}{3}=8

4 0
4 years ago
Read 2 more answers
Please help me with my homework I need to submit it tomorrow on tuesday
otez555 [7]
1. Yes
2. No
3. 46.6 (recurring)
5. 22'
Sorry this is all I can do. Hope this helps :)
3 0
4 years ago
Which of the following is a characteristic of the repeating shapes in a tessellation?A. Shapes cannot be regular polygons.B. Sha
Elden [556K]
Shapes cannot have spaces between them
7 0
4 years ago
Read 2 more answers
Add. 4 7/12+2 3/4+7 5/12
mihalych1998 [28]

Answer:

C.14¾

3 9⁄10

Step-by-step explanation:

\frac{4}{5}  + 3 \frac{1}{10}  =  \frac{8}{10}  + 3 \frac{1}{10}  = 3 \frac{9}{10}

4 \frac{7}{12}  + 2 +  \frac{3}{4}  + 7 \frac{5}{12} =  13 \frac{12}{12}  +  \frac{3}{4}  = 14 +  \frac{3}{4}  = 14 \frac{3}{4}

I am joyous to assist you anytime.

3 0
3 years ago
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