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3 years ago

Determine whether the triangles are congruent by sss sas asa aas hl

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

Answer:

Congruent by SAS

Step-by-step explanation:

The three given sides of one triangle is shown to be equal to the corresponding sides of the other triangle.

This means that all threes sides of one are congruent to all corresponding sides of the other triangle.

By the Side-Side-Side Congruence Theorem, we can conclude that both triangles are congruent.

You might be interested in

What is 7 1/8 times 2 5/6

Otrada [13]

Answer:

20 and 3/16

Step-by-step explanation:

Answer:

578×176=20316

Solution with Steps

578×176=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

57×178×6=96948

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 969 and 48 using

GCF(969,48) = 3

969÷348÷3=32316

The fraction

32316

is the same as

323÷16

Convert to a mixed number using

long division for 323 ÷ 16 = 20R3, so

32316=20316

Therefore:

578×176=20316

Solution by Formulas

Apply the fractions formula for multiplication, to

578×176

and solve

57×178×6

=96948

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(969,48) = 3

969÷348÷3=32316

Convert to a mixed number using

long division for 323 ÷ 16 = 20R3, so

32316=20316

Therefore:

578×176=20316

7 0

4 years ago

What is the perimeter of the figure

anastassius [24]

Answer:

Option A.

$P=73.4\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In this problem we have a triangle with a circle inscribed in it

$A.F=A.B\\C.B=C.D\\E.F=E.D$

step 1

Find the length side B.C

$C.B=A.C-A.B$

substitute the given values

$C.B=23-14=9\ units$

step 2

Find the length side C.D

Remember that

$C.D=C.B$

therefore

$C.D=9\ units$

step 3

Find the length side E.D

we know that

$E.D=E.C-C.D$

substitute the given values

$E.D=22.7-9=13.7\ units$

step 4

Find the length side E.F

Remember that

$E.F=E.D$

therefore

$E.F=13.7\ units$

step 5

Find the length side A.F

Remember that

$A.F=A.B$

therefore

$A.F=14\ units$

step 6

Find the perimeter

$P=23+22.7+13.7+14$

$P=73.4\ units$

6 0

3 years ago

In 2000, the population of Big Springs was 13 thousand. Use the given doubling

trasher [3.6K]

Answer:

The answer is "26179.4".

Step-by-step explanation:

Assume year 2000 as t, that is t =0.

Formula:

$A= A_0e^{rt}$

Where,

$A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year$

for doubling time,

$r = \frac{log (2)}{t} \\$

$r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007$

Given value:

$A = A_0e^{rt} \\\\$

$A_0 = 13000$

$t= 40 \ years$

when year is 2000, t=0 so, year is 2100 year as t = 100.

$A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4$

7 0

3 years ago

What is the slope between (-4,0) and (0,2)

zaharov [31]

The slope is y=1/2x + 2 or y= 0.5x+2

3 0

3 years ago

Read 2 more answers

Find the value of X so that this quadrilateral is a parallelogram. Then substitute the value of X and using the parallelogram an

Bogdan [553]

Answer:

x = 36

m/A = 132

m/B = 48

m/C = 48

m/D = 132

4 0

3 years ago