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3 years ago

A triangle is drawn and then translated as shown in the diagram. Which statement is true?

Mathematics

2 answers:

abruzzese [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Congruent means the same. Translating it just moves it somewhere else.

alexandr1967 [171]3 years ago

5 0

Answer: D) The two triangles are congruent because a translation does not change size and shape.

Step-by-step explanation:

A translation is a kind of rigid motions that moves a geometric figure on a xy plane by some distance in a particular direction .

Since all rigid motions create congruent figures , it means it do not change the shape and size of the figure.

So, translation does not change size and shape.

If a triangle is drawn and then translated, then they are congruent because a translation does not change size and shape.

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Solve ABC <br>c=10, B=35°, C=65%

NISA [10]

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

5 0

2 years ago

Calculate the value of P and of Q that satisfy the following simultaneous linear equations.

luda_lava [24]

0.5p -3q =11
5p +6q =2

1) ×-2

--> 3. -p +6q =-22

2) - 3)

6p =24

p =4

sub into 2)

5(4) +6q =2

20 +6q =2

6q =2 -20 =-18

q=-3

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3 years ago

a wall is 2m at one end and 2.4m at the other end. the area of the wall is 26.4m squared. what is the length of the wall?

andrew11 [14]

Since the height is different on both ends, we can assume that the wall is a trapezoid. Knowing that, we can replace the measures we know in the formula and our onky variable is the length of the wall - we only need to isolate it. A= ((b+B)h)/2 26.4=((2+2.4)h)/2 52.8=4.4h h=12

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2 years ago

5/8y-12= -7<br> im stuck 9th grade math

Galina-37 [17]

Answer:

Step-by-step explanation:

$\frac{5}{8}y-12=-7 \\ \\ \frac{5}{8}y=5 \\ \\ y=8$

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1 year ago

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Alisiya [41]

Answer:

SAS Similarity

Step-by-step explanation:

given by lines 1, 2, & 3

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