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3 years ago

Which biconditional statement below is true?

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Answer: Angles are supplementary if and only if their sum is 180° is true.

Step-by-step explanation:

Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180° This is also true.

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Hey can you please help me

anygoal [31]

Answer:

Step-by-step explanation:

General Form of an equation of a line is given by: $y=mx+b$

Where,

m is the slope, and

b is the y-intercept (point where line cuts the y-axis)

Also, parallel lines have equal slopes.

Equation of first plane is given as $d=3.67t+4.81$

Comparing this with general form of a line, we see that 3.67 is the slope and 4.81 is the y-intercept.

The second plane is going parallel to this. So slope should be same. Hence second plane has slope of 3.67. We can write:

$d=3.67t+c$

To find the equation of second plane, we need to solve for c. Also, a point given for second plane is $(t=0, d=2.14)$ , substituting these values into the equation we got, we get the value of c:

$2.14=3.67(0)+c\\2.14=0+c\\c=2.14$

We already know m and now we know c, so we can write final equation as:

$d=3.67t+2.14$

Answer choice C is right.

8 0

3 years ago

Find sin of i need help can u help me

astraxan [27]

Answer:

The answer is

Step-by-step explanation:

6 0

2 years ago

How do I make 4(x+3)=3(3x-1) into a simpler form without parentheses. Then substitute 3 for x.

tankabanditka [31]

4x+12=9x-3
12+12=27-3
24=24

5 0

3 years ago

Read 2 more answers

the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?

RideAnS [48]

Well, first off, let's find what is the slope of BC

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
% (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-(-3)}{10-2}\implies \cfrac{1+3}{10-2}
\\\\\\
\cfrac{4}{8}\implies \cfrac{1}{2}$

now, a line perpendicular to that one, will have a negative reciprocal slope, thus

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{1}{2}\\\\
slope=\cfrac{1}{{{ 2}}}\qquad negative\implies -\cfrac{1}{{{ 2}}}\qquad reciprocal\implies - \cfrac{{{ 2}}}{1}\implies \boxed{-2}$

now, we know the slope "m" of AB is -2 then, thus

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
% (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-3}{2-a}=\boxed{-2}
\\\\\\
\cfrac{-6}{2-a}=-2\implies -6=-4+2a\implies -2=2a\implies \cfrac{-2}{2}=a
\\\\\\
-1=a$

6 0

3 years ago

Could somebody please help me I dont understand how to do this problem

forsale [732]

So a triangle has a total of 180 degrees
107 + 2x-5 +x = 180
solve for x
112 + 3x = 180
-112 -112
3x = 68
x = 22.6667 degrees

4 0

3 years ago

Read 2 more answers