Ask question

Ask question

All categories

Artyom0805 [142]

3 years ago

14

Which of these sentences is always true for a parallelogram?

2 answers:

Lubov Fominskaja [6]3 years ago

7 0

<span>Opposite angles are congruent.</span>

Murljashka [212]3 years ago

4 0

The answer is d. opposite angles are congruent.

You might be interested in

Help me complete this

frutty [35]

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

$\sqrt{98}$ = x

$7\sqrt{2}$ = x

9.9 = x

3 0

3 years ago

Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{2}=a_{1}+(2-1)d$

$a_{2}=a_{1}+(1)d$

Substituting the given value we get

$a_{2}= -2+(1)4$

$a_{2}= -2+4$

$a_{2}= 2$

------------------------------------------

Similarly

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the given value we get

$a_{3}= -2+(2)4$

$a_{3}= -2+8$

$a_{3}= 6$

-------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the given value we get

$a_{4}= -2+(3)4$

$a_{4}= -2+16$

$a_{4}= 10$

-------------------------------------------------------------------------------------------

<u>B</u><u> $a_n=a_{(n-1)}-8$ with $a_1=10$ </u>

$a_2=a_{(2-1)}-8$

$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

---------------------------------------------------------------------

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

---------------------------------------------------------------------

$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

$a_4= -6-8$

$a_4= -14$

-------------------------------------------------------------------------------------------

<u>C) $a_1=3, a_2=1$ </u>

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

$a_{3}= -1$

------------------------------------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

$a_{4}= -3$

----------------------------------------------------------------------------------

$a_{5}=a_{1}+(5-1)d$

$a_{5}=a_{1}+(4)d$

Substituting the value we get

$a_{5}= 3+(4)-2$

$a_{5}= 3-8$

$a_{5}= -5$

4 0

3 years ago

Miss gallon spent 55% of her savings on a television that cost $550 how much money did she have her savings before she bought th

Salsk061 [2.6K]

I believe that she had $852.50. When you multiply 550 by .55(55%) you get 302.50. This is how much she has left. Now you add that to the 550 to get $852.50

4 0

3 years ago

jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.

I am Lyosha [343]

Answer:

$f=17\\p=9\\$

Step-by-step explanation:

Let

$f= Full-time\\p=Part-time$

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

$f+p=26...eqtn1\\275f+140p=5935....eqtn2\\$

Express eqtn1 in terms of f, $f=26-p$

Substitute f value in eqtn 2.

$=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\$

Therefore, jeds has 17 fulltime and 9 parttime employees.

8 0

3 years ago

What is the mean of 15 and 75

inn [45]

Answer:

45

Step-by-step explanation:

5 0

3 years ago