(21-6)/3 how much money each one will make

40% of a nurse time is spent disowning medicine to patients. if 16 hours is spent dispensing medicine, how many hours does the n

Ber [7]

40 % = 16 hours
100 % = 40 hours, the nurse works for 40 hours.
this can be proven by 40% of 40 is 16.

4 0

3 years ago

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If the midpoint of (4, 3) and point A has coordinates (-2, 6), what are the coordinates of point B?

baherus [9]

(xA+xB)/2, (yA+yB)/2 = (4,3)
(xA+xB)/2 = 4
(-2+xB) = 8 --> xB = 8+2 --> xB = 10
(yA+yB)/2 = 3
(6+yB) = 6 --> yB = 6-6 --> yB = 0

B = (10,0)

5 0

3 years ago

Devin ran 6 over 10 miles on Thursday.He ran 1.5 miles on Saturday. How many total miles didi he run

Diano4ka-milaya [45]

Answer:

17.5 miles

Step-by-step explanation:

6+10+1.5= 17.5

8 0

3 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

<u><em>Verify each statement</em></u>

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

Expand and simplify 3(x+2)+2(x-1)

lilavasa [31]

If you would like to expand and simplify 3 * (x + 2) + 2 * (x - 1), you can do this using the following steps:

3 * (x + 2) + 2 * (x - 1) = 3 * x + 3 * 2 + 2 * x - 2 * 1 = 5 * x + 6 - 2 = 5 * x + 4

The correct result would be 5 * x + 4.

3 0

3 years ago

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