Which Two triangles are similar to A ADB

there are 12 people having lunch. Each person wants 1/3 of a sub sandwich. How many whole sub sandwiches are needed? Show answer

____ [38]

12 x 1/3 = 4 would be your answer

8 0

3 years ago

Read 2 more answers

Select the correct answer. Which statement is correct with respect to f(x) = -3|x − 1| + 12?

professor190 [17]

Answer:

Opt. D.

Step-by-step explanation:

To solve this problem we need to focus our attention in the abs(x-1) function,

If x>1, then abs|x-1|= x-1, if x<1 then abs|x-1|= 1-x. And in the two intervals, the function opens upwards.

But our function has -3 multiplying abs|x-1|, This means that our function opens downward.

The vertex point can be found when x=1, since abs(x-1)=0. this gives f(1)=12

5 0

4 years ago

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

Steve will roll a number cube, numbered 1-6, twice. What is the probability

Leni [432]

Answer:

25%

Step-by-step explanation:

First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.

The probability of each number is 1/6, so:

P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2

Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.

As we have again 3 numbers, the probability P2 will also be 1/2

Then, the final probability is the product of both P1 and P2:

P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%

3 0

4 years ago

Maria is monitoring the temperature of two substances in her science lab. Substance A is currently 96.2 and rising 1.4 each minu

lilavasa [31]

It would take 1.045 minutes for both substances to be at the same temperature.

Substance A started at a temperature of 96.2 and is rising at 1.4 every minute. Assuming minutes were denoted as x, the relevant expression would be:

= Starting temperature + (Rate temperature is rising x number of minutes)

= 96.2 + 1.4x

Substance B is reducing in temperature:

= 98.5 - 0.8x

Equate both expressions:

96.2 + 1.4x = 98.5 - 0.8x

1.4x + 0.8x = 98.5 - 96.2

2.2x = 2.3

x = 2.3 / 2.2

= 1.045 minutes

It would therefore take 1.045 minutes for both substances to be at the same temperature.

Find out more at brainly.com/question/12012659.

6 0

2 years ago