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2 years ago

In the circle below, suppose m STQ = 102° and mZTSR=56º. Find the following.

Mathematics

1 answer:

katrin [286]2 years ago

6 0

Answer:

Step-by-step explanation:

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What are the next 3 numbers in the pattern: 10, 11, 13, 16, 20 ... *

Kipish [7]

Answer:

25, 31, 38

Step-by-step explanation:

The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.

5 0

3 years ago

Read 2 more answers

Select the pair of equations whose graphs are perpendicular.

viktelen [127]

$k:\ y=m_1x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2x+b_2\\ \\the\ line\k\ is\ perpendicular\ to\ the\ line\ l\ \ \ \Leftrightarrow\ \ \ m_1\cdot m_2=-1\\----------------------------\\\\A.\\2y=-3x+5\ \ \Rightarrow\ \ \ y=- \frac{3}{2} x+2.5\ \ \Rightarrow\ \ m_1=- \frac{3}{2} \\\\2x+3y=4\ \ \Rightarrow\ \ 3y=-2x+4\ \ \Rightarrow\ \ y=- \frac{2}{3}x+1 \frac{1}{3} \ \ \Rightarrow\ \ m_2=- \frac{2}{3} \\\\m_1\cdot m_2=- \frac{3}{2} \cdot (- \frac{2}{3})=1 \neq -1$

$B.\\5x-8y=9\ \ \Rightarrow\ \ -8y=-5x+9\ \ \Rightarrow\ \ \ y= \frac{5}{8} x-1 \frac{1}{8} \ \Rightarrow\ \ m_1= \frac{5}{8} \\\\12x-5y=7\ \Rightarrow\ \ -5y=-12x+7\ \ \Rightarrow\ \ y= \frac{12}{5}x-1 \frac{2}{5} \ \ \Rightarrow\ \ m_2= \frac{12}{5} \\\\m_1\cdot m_2= \frac{5}{8} \cdot \frac{12}{5}= \frac{3}{2} \neq -1$

$C.\\y=2x-7\ \ \Rightarrow\ \ m_1=2 \\\\x+2y=3\ \Rightarrow\ \ 2y=-x+3\ \ \Rightarrow\ \ y= -\frac{1}{2}x+1 \frac{1}{2}\ \ \Rightarrow\ \ m_2=- \frac{1}{2} \\\\m_1\cdot m_2= 2 \cdot (- \frac{1}{2})= -1\ \ \Rightarrow\ \ y=2x-7\ \ \ \ \perp\ \ \ \ x+2y=3$

$
D.\\x+6y=8\ \ \Rightarrow\ \ 6y=-x+8\ \ \Rightarrow\ \ \ y=- \frac{1}{6} x+1 \frac{1}{3}\ \ \Rightarrow\ \ m_1= -\frac{1}{6} \\\\y=2x-8\ \Rightarrow\ \ m_2= 2 \\\\m_1\cdot m_2= -\frac{1}{6} \cdot2=- \frac{1}{3} \neq -1$

7 0

3 years ago

Find the sum 9/16+10/13

Dima020 [189]

Answer:

277/208

Step-by-step explanation:

9/16+10/13

=277/208

8 0

3 years ago

Sketch the parabola y = x2 + 4x – 5.

Daniel [21]

Step-by-step explanation:

y=(x+5)(x-1)

y=-5 x=0

y=0. x=-5

y=0 x=1

now you got the points so graph will be like

5 0

2 years ago

Calculate the perimeter of this shape.<br> 12 cm<br> 18 cm

Lisa [10]

Answer:

$12 +18 + x+y + z +w$

In this special case we know that $x+y =12$ and $z+w =18$ and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter

Step-by-step explanation:

For this case we know that the perimeter is given by:

$12 +18 + x+y + z +w$

In this special case we know that $x+y =12$ and $z+w =18$ and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter

6 0

2 years ago