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Lerok [7]
2 years ago
11

How do I know if it’s similar, congruent or neither?

Mathematics
1 answer:
Phantasy [73]2 years ago
5 0

Answer:

These two triangles are congruent.

Step-by-step explanation:

You know this bc the markings on the drawing show that Angle B and Angle D are congruent. Also that AB is parallel to CD. This means that Angle BAC and Angle DCA are congruent by ALTERNATE INTERIOR ANGLES. Also, AC is congruent to itself. That makes the two triangles congruent by ANGLE-SIDE-ANGLE.

Now, you need to know that "congruent" triangles (and shapes in general) are the same size and shape. "Similar" triangles (shapes) are the same shape but not necessarily the same size.

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Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. If x re
tino4ka555 [31]

Answer:

2x + 4

Step-by-step explanation:

Let R = Ralph's age

and x = Sarah's age

          Then Ralph's age in 4 years = R + 4

       and Sarah's age in four years = x + 4

Thus,                                       R + 4 = 2(x + 4)

Distribute the 2                      R + 4  =     2x + 8

Subtract 4 from each side     R        =     2x + 4

Ralph's age is 2x + 4.

3 0
3 years ago
What is 3x+5=-9 in slope intercept form
Nata [24]

Answer:

x=-14/3

Step-by-step explanation:

3x+5=-9

3x=-9-5

3x=-14

x=-14/3

4 0
3 years ago
Jessica and her 2 sisters want to take a camping trip. They have $225 saved so far. Each of them will save $21 a week until they
Bogdan [553]

Answer:

225 + 63n for n- a natural number,

set 512=225+63n to find total number of weeks

63=21*3

use n=4 to solve the amount saved in 4 weeks

they wont 60*4=240, 240+12, 252+225=477

how much are the saving a day

what do they need to put up to have enough in 4 weeks

how much a day do the need to save to go in 1 week

etc

Step-by-step explanation:

6 0
3 years ago
Nancy and Mark commute to work, traveling in opposite directions. Nancy leaves the house at 7:00 A.M. And average 20 miles per h
vladimir2022 [97]

Answer:

They will be 170 miles apart at 10 AM

Step-by-step explanation:

Nancy has 15´ of  head start which is 1/4 hr.

NHD = 20*(1/4) = 5 miles is her head start

Mark leaves at 7.15hs = starting point

Marks stop at when they are 170 miles apart = t

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

t = the time they are 170 miles apart

d= distance in miles Nancy travels in time t

170 - (d+5) = distance in miles Mark travels in time t

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

Nancy's equation:

(1) d = 20t

Mark's equation:

(2) 170 - (d+5) = 40t

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

(2) 170-d-5=40t

(2) d+40t=165

Substitute (1) into (2)

(2) 20t+40t=165

(2) 60t=165

(2) t=2.75

7:15 AM + 2.75 hrs (2:45hs) = 10 AM

They are 170 miles apart at 10 AM

check:

(1) d=20t

(1) d=20*2.75

(1) d= 55

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

(2) 170 - (d+5) = 40t

(2) 170 - (d+5) = 40*2.75

(2) 170 - d-5 = 110

(2) d=55

4 0
3 years ago
2x+x+x+8=76 plz help
Paha777 [63]

Answer:

x=17

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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