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In the diagram, VZ/YZ=WZ/XZ. To prove that △VWZ ~ △YXZ by the SAS similarity theorem, which other sides or angles should be used

Vitek1552 [10]

Answer:

The angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

Step-by-step explanation:

Given information: $\frac{VZ}{YZ}=\frac{WZ}{XZ}$

Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.

If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.

From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.

$\angle VZW=\angle YZX$ (Vertically opposite angles)

$\frac{VZ}{YZ}=\frac{WZ}{XZ}$ (Given)

By SAS rule of similarity

$VWZ\sim YXZ$

Therefore the angles $\angle VZW\cong \angle YZX$ are used to prove the similarity of triangles VWZ and YXZ.

4 0

3 years ago

Read 2 more answers

Use the point-slope form linear equation given.

Agata [3.3K]

y-3=3(x+1)

opening the bracket

y-3=3x+3

y=3x+3+3

equation of the line in the form y=mx+c;

y=3x+6

therefore gradient=3

parallel lines have same gradient therefore gradient of the other line is 3

y--3/x-0=3

y+3=3(x-0)

y+3=3x-0

y=3x-3.

8 0

2 years ago

Diameter is 22.5m. Calculate the area (round your answer to 2 decimal places). Use 3.14 for Pi.

Tamiku [17]

Answer:

because r=d/2 it will be

22.5/2=r

r=11.25m

c=2×3.14×11.25

c=70.65msquare

c=7065/1oo

7 0

3 years ago

A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after

Vlad [161]

Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

$A = A_ob^t$
$3600 = 3000b^4$

Now we solve for b
$3600 = 3000b^4$
$\frac{3600}{3000} = \frac{3000b^{4}}{3000}$
$\frac{6}{5} = b^4$
$\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}$
$\sqrt[4]{\frac{6}{5}} = b$

Now that we have found b, we can use the equation $A = 3000b^t$ to predict how many bacteria will be present after 10 hours.
$b = \sqrt[4]{\frac{6}{5}}$
t = 10
$A = 3000b^t$
$A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732$

Answer = 4732

4 0

3 years ago

The Positions of two divers from the water's surface after a dive are shown: Ray: -15 feet Henry: - 20 feet Which inequality exp

Effectus [21]

Step-by-step explanation:

Henry is deeper in the water than Ray because -20 < -15

Hope it helps <3

7 0

3 years ago