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3 years ago

Geometry Help Please!!! Picture shown below

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Answer:

It is given that ABCD is a parallelogram, so AB || DC by the difinition of parallelogram. So, <1 = <2 by the alternate interior angles theorem. It is also given that DC bisects <BDE, so <2 = <3  by the definition of angle bisector. Therefore, <1  = <3 by the transitive property of congruence.

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A line passes through the point (-8, 7) and has a slope of negative 3/4

yanalaym [24]

Y = mx + b
slope(m) = 3/4
(-8,7)...x = -8 and y = 7
now we sub and solve for b, the y int
7 = 3/4(-8) + b
7 = - 6 + b
7 + 6 = b
13 = b

so ur line is : y = 3/4x + 13

3 0

3 years ago

For a craft, each student will need five rubber bands. There are eight students. What rubber bands come in bags of 9. How many b

gizmo_the_mogwai [7]

Answer:

In total 5 packets of rubber bands are needed.

Out of which 5 rubber bands are left.

Step-by-step explanation:

The number of rubber bands needed by 1 student = 5

The total number of students = 8

So, the total rubber bands needed by all students

= Total students x Number of rubber bands needed by 1 student

= 8 x 5 = 40 bands

Now 1 packet of rubber bands = 9 bands

⇒ 2 packets = 2 x ( 9 bands) = 18 bands

⇒ 3 packets = 3 x ( 9 bands) = 27 bands

Similarly, 4 packets = 36 bands , 5 packets = 45 bands

Now, if we buy 4 packet of bands, there are 36 rubber bands which are LESS THAN THE TOTAL STUDENTS.

So, we buy 5 packets.

We have in total 45 bands, but the total students = 40

So, the number of left rubber bands = Total bands - Total students

= 45 - 40 = 5

Hence, in total 5 packets of rubber bands are needed, and out of which 5 rubber bands are left.

5 0

3 years ago

What two number multiply to -132 and add to -1

EastWind [94]

Answer:

The two numbers can be -12 and 11, or 11 and -12.

Step-by-step explanation:

xy=-132

x+y=-1

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

x=-1-y

(-1-y)y=-132

-y-y^2=-132

-y^2-y-(-132)=0

-y^2-y+132=0

y^2+y-132=0

factor out the trinomial,

(y-11)(y+12)=0

zero property,

y-11=0, y+12=0,

y=0+11=11,

y=0-12=-12

x+11=-1 & x+(-12)=-1

x=-1-11=-12

x=-1-(-12)=-1+12=11

5 0

4 years ago

X = –16 or x = –4 x = –10 x = –8 x = 4 or x = 16

OverLord2011 [107]

X is 16 so turn everything into a equation

3 0

4 years ago

Mike put 304 baseballs into 8 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to

Solnce55 [7]

Answer:

190 Baseballs

Step-by-step explanation:

Since he put 304 baseballs into 8 trash cans with an equal amt. in each,

--> we do 304/8 to find how much baseballs we put in each

=> 304/8 = 38

Now, we takes 5 of these 38 trash cans filled with balls to the field

--> we would do 5 x 38 => 5 x 38 = 190

and Thus, we have our answer of 190 baseballs

Hope this helps!

3 0

3 years ago