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skad [1K]
3 years ago
12

Please help fill in the blanks

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answers:

Reason 4: Isosceles triangle

Reason 5: Segment Addition Postulate

Reason 6: Segment Addition Postulate

Reason 7: Substitution

Reason 8: Substitution

Reason 9: Subtraction property of equality

Reason 10: Definition of congruence

Reason 11: Vertical Angles Theorem

Reason 12: Vertical Angles Theorem

Reason 13: ASA (angle side angle) congruence theorem

==================================

Explanations:

Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.

Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.

Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"

Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out

Reason 10: If two lengths are equal, then the segments are congruent

Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.

Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.

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Answer:

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Step-by-step explanation:

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Alvin has $30 and is saving $10 per week. Buzzy has $10 and he saves $15 per week. Both are saving for a guitar that costs $225
mihalych1998 [28]
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H^-16/h^x=1/h^24 can someone help me please
Basile [38]

Given:

Consider the equation is

\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}

To find:

The value of x.

Solution:

We have,

\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}

Using properties of exponents, we get

h^{-16-x}=h^{-24}       [\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]

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Add 16 on both sides.

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5 0
2 years ago
A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster
Anna11 [10]

Answer:

The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = D_1= 20 miles

The distance cover by biker =  D_2 = 6 miles

The speed of biker = S_2 = s  mph

The speed of cyclist = S_1= 7 + s  mph

The time taken by both cyclist and biker =  t hour

Now. Distance = Speed × Time

So,  D_1 =   S_1 × t

Or, 20 = s × t

Or, t = \frac{20}{7+s}             .....1

And ,

D_2 =   S_2 × t

or, 6 = s t              

Or,  t = \frac{6}{s}  ....2

From Eq  1 and 2

I.e \frac{20}{7+s} = \frac{6}{s}

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

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I,e s = 3 miles per hour

So, The speed of biker = S_2 = s = 3 miles per hour

And The speed of cyclist = S_1= 7 + s = 7 + 3= 10 miles per hour

Hence The speed of the cyclist is 10 miles per hour . Answer

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