MATHEMATICS HIGH SCHOOL

With respect to the diagram, which relationship is false if ∠FEA is supplementary to ∠HGD? m∠FEB + m∠HGD = 180° ∠HGD≅∠FEB m∠HGC + m∠FEB = 180° ∠FEA≅∠HGC Done

Answers

Answer 1

Answer: C) m∠HGC + m∠FEB = 180°

Answer 2

Answer:

Answer:

A) m∠FEB + m∠HGD = 180°

Step-by-step explanation:

We are given that ∠FEA is supplementary to ∠HGD

Supplementary angles : Sum of pair of angles is 180°

⇒∠FEA +∠HGD = 180° -- 1

In figure 1 :

∠FEA +∠FEB= 180° (linear pairs) --2

Since ∠HGD is supplement to ∠FEA So, ∠FEB cannot be supplement to ∠HGD (refer figure)

So, A is false

Subtract 1 from 2

⇒∠FEA +∠FEB - ∠FEA +∠HGD = 180° - 180°

⇒∠FEB =∠HGD

So, B is true : ∠HGD≅∠FEB

Now In figure 2 :

∠HGC +∠HGD= 180° (linear pairs) --3

By part B

∠HGC +∠FEB= 180°

So, part C is true

Now subtract 3 from 1 :

⇒∠FEA +∠HGD -∠HGC-∠HGD = 180° -180°

⇒∠FEA =∠HGC

So, part D is true :∠FEA≅∠HGC

Option A is false

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Answers

Answer:

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Step-by-step explanation:

It cost $46 to rent a bike for n days. which expression represent the cost for one day.is it:
A. $46 divided by n
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Answers

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Evaluate the following expression: 7.0 x 10⁴ + 6.0 x 10³

A) 13 x 10⁷
B) 42 x 10⁷
C) 67 x 10³
D) 76 x 10³

Answers

$7.0 \cdot 10^4 + 6.0 \cdot 10^3=10^3\cdot (7.0 \cdot 10+6.0)= (70.0 +6.0)\cdot10^3= 76 \cdot10^3\n \n Answer: \ D) \ \ 76 \cdot 10^3$

How to solve this
The minimum value of f is f×3=-5 and f×1=2

Answers

F ========== 2....................

Final answer:

The question provides two equations involving the variable f. By isolating f in these equations, we derive two possible values for f. The minimum value for f is the smaller of these two derived values, which is -5/3.

Explanation:

To solve this we can use the principle that if two different values of f multiply with different numbers to equal different constants, we can set up a system of equations to find those values of f.

The given equations are f×3=-5 and f×1=2. Let's denote f×1 as f₁ and f×3 as f₂.

From f×1=2, we get f₁=2/1=2
From f×3=-5, we get f₂=-5/3

So, the minimum value of f, that is f_min would be the smaller of f₁ and f₂. As -5/3 is smaller than 2, f_min = -5/3.

Learn more about Solving System of Equations here:

brainly.com/question/31653301

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Answers

6n+12=12
subtract 12 from both sides
6n=0
since 6 does not equal 0 and 0 times any other number=0
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