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4 years ago

Can you use the SSS Postulate or the SAS Postulate to prove fez = fgz

Mathematics

2 answers:

Varvara68 [4.7K]4 years ago

8 0

SAS possulate is the correct option

GREYUIT [131]4 years ago

6 0

From the shown figure we have:
1) FE = FG ⇒⇒⇒ given
2) ∠EFZ = ∠GFZ ⇒⇒⇒ given
3) FZ = FZ ⇒⇒⇒ Reflexive Property

∴ The triangles are congruent by SAS

The correct choice is: 
by SAS only

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The value of 6.8x10^2x1.3x10^-3 In standard form

marta [7]

Answer:

0.884

Step-by-step explanation:

When you multiply exponents together, you add the powers values together.

Step 1: Multiply base numbers

6.8(1.3) = 8.84

Step 2: Multiply (add) exponentials

$10^2(10^{-3}) = 10^{-1}$

Step 3: Combine into scientific notation

$8.84(10^{-1})$

Step 4: Evaluate into standard form

0.884

6 0

3 years ago

Read 2 more answers

3. Angles X and Y have a sum of 159 degrees. Angle X is 43 degrees smaller than angle Y.

Lesechka [4]

$\underline{\underline{\large\bf{Solution:-}}}\\$

$\longrightarrow$ Since angle X and Y have a sum of 159

$\implies \bf Y + X= 159 \_\_\_\_(1)$

$\longrightarrow$ Since X is 43 degrees smaller than Y , so subtracting X from Y would give 43 , therefore equation will be written as -

$\implies \bf Y - X = 43 \_\_\_\_(2)$

Adding Equation (1) and (2) 

$\begin{gathered}\\\implies\quad \sf Y+X+Y-X = 159+43 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf Y+Y + X-X = 202 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 2Y = 202 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf Y = \frac{202}{2} \\\end{gathered}$

$\begin{gathered}\\\implies\quad \boxed{\sf {Y = 101 }} \\\end{gathered}$

Putting Y in eq (1)

$\begin{gathered}\\\implies\quad \sf X + 101 = 153 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf X = 153-101 \\\end{gathered}$

$\begin{gathered}\\\implies\quad \boxed{\sf{ X = 52 }}\\\end{gathered}$

5 0

2 years ago

How do I solve for x.

Vadim26 [7]

Answer:

x = 17

Step-by-step explanation:

(whole secant) x (external part) = (whole secant) x (external part)

(x+7) * 7 = ( 13+8) *8

(x+7) * 7 = ( 21) *8

Divide each side by 7

x+7 = 21/7 *8

x+7 = 3*8

x+7 = 24

Subtract 7

x = 17

4 0

3 years ago

Read 2 more answers

A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° w

Finger [1]

It is a right triangle
cos 58 = 20/length of rope
length of rope = 20/cos 58 degrees
= 37.74 feet

6 0

3 years ago

What is the correct order for solving the following equation? 6X - 8 = 40

otez555 [7]

Answer:

hey

Step-by-step explanation:

6x=40+8

6x=48

x=8

hope u get it

3 0

3 years ago

Read 2 more answers