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2 years ago

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 32° and m∠S = 102°. What is m∠B?

1 answer:

5 0

The sum of interior angles of any polygon is:

s=180(n-2)

Since we are dealing with a triangle:

s=180(3-2)

s=180°

That is, the sum of angles of any triangle is 180°.

In this case we are given two angles with measures of 32° and 102° so

a+b+c=180

32+b+102=180 combine like terms on left

b+134=180 subtract 134 from both sides

b=46°

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Write an equation of the line through (6,-5) having slope 0. Give the answer in standard form.

allsm [11]

0x + 1y = -5 is the standard form of equation

Solution:

Given that we have to write the equation of line passing thorugh (6, -5) and has slope 0

The equation of line in slope intercept form is given as:

y = mx + c ---------- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that, m = 0

Given point is (6, -5)

To find the y - intercept:

Substitute (x, y) = (6, -5) and m = 0 in eqn 1

-5 = 0(6) + c

c = -5

Substitute c = -5 and m = 0 in eqn 1

y = 0x + (-5)

y = -5

The standard form of equation is given as:

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

y = -5

0x + 1y = -5 is the standard form of equation

8 0

2 years ago

George makes two transactions today what can be the sum of 78+ (-34) mean in terms of George bank account

Alinara [238K]

Aacanding th the title a tite sic is 7R t Cz4
78t1-341=78-34=44 iThe iome is psitive aad the withdraual is
regative
so the sum TRIc-3) is mean the situation of the Gearge's acount
after the two transactions today

Gerge is bank account cared 44 today

8 0

2 years ago

Which statements are true about the fully simplified product of (b-2c)(-3b+c? Select two options.

SSSSS [86.1K]

Answer:

C) The simplified product has a degree of 2.

F) The simplified product, in standard form, has exactly 2 negative terms.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Thrice the difference between x and 4 is less than9 what's the inequality

3241004551 [841]

(x-4)•2 < 9
the difference between x and 4 means to subtract
and twice that means to double or times by 2
and all that’s LESS than 9
so the sign opens up towards the 9

4 0

3 years ago

Algebra find the unknown digit to make each statement true 2.48>2.4 1>2.463

valentina_108 [34]

We have 2.48>2.4 1>2.463. If we insert a '7' between that 4 and 1, we get:

2.48 > 2.471 >2.463, and this is true.

8 0

3 years ago