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Dafna1 [17]
3 years ago
14

Prove that if triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides, their associated Sac

cheri quadrilaterals are congruent. (HINT: Recall that the angle sum for a triangle is equal to the sum of the measures of the summit angles of its associated Saccheri quadrilateral and that the two summit angles of a Saccheri quadrilateral are congruent.)
Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Step-by-step explanation:

To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :

Assume:  б(Δ ABC ) =  б(Δ DEF ) and also AB ≅ DE

let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF  respectively

Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that

AB = summit of ABB'A' and DE = summit of DEE'D'  also  AB ≅ DE

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

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10x 6x+8 Solve For X
zhannawk [14.2K]

Answer:

I had x to be 2

Step-by-step explanation:

a square has all it side to be equal

so 10x=6x+8

you will group like terms 10x-6x=8

4x=8 you divide both side by the coefficient of x which is four so X=2

7 0
3 years ago
Given that the square root function is only defined for non-negative numbers, define the domain of f in terms of c. {x | ≥ 0}
diamong [38]

Answer:

c:(0;+∞)

Step-by-step explanation:

Given the situation, that the square root function only allows you values above than "0" (not equal neither), then you must consider that every value above 0 belongs to it's domain.

Then, to express the domain, going from your most negative number, to your most possitive number (in this case all positive number, thats why we use infinite)  you must use the parenthesis wich means, you are not considering the value (in this case 0), but the value right after it, to the next value that as we said before, is inifinite. Also remember, that when you express a domain, and use infinite (despite it's going to negative way, or possitive way, it also goes with parenthesis).

5 0
3 years ago
For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Kipish [7]

The numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = <u>67/24</u> on simplification using the BODMAS rule.

In the question, we are asked to simplify the numerical expression:

2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3.

To simplify the expression, we will follow the BODMAS rule, where B means Brackets, O means Of, D means Divide, M means Multiplication, A means Addition, and S means Subtraction.

2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3

= 2/3 ÷ 16 + (3/4 + 1/6) ÷ 1/3 {Solving 2⁴ = 16, before proceeding BODMAS}.

= 2/3 ÷ 16 + ((9+2)/12) ÷ 1/3 {Solving Brackets by taking LCM}

= 2/3 ÷ 16 + 11/12 ÷ 1/3 {Simplifying}

= 2/3 * 1/16 + 11/12 * 3/1 {Solving divisions by taking reciprocals}

= 1/24 + 11/4 {Multiplying}

= (1 + 66)/24 {Adding using LCM}

= 67/24 {Simplifying}.

Thus, the numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = <u>67/24</u> on simplification using the BODMAS rule.

Learn more about the simplification of numerical expression at

brainly.com/question/17205434

#SPJ1

The provided question is incomplete. The complete question is:

"Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.

Simplify the numerical expression.

2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3

The expression has a value equal to."

5 0
2 years ago
Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and
skad [1K]

Answer:

2.5y=amount spent on drinks

Step-by-step explanation:

If chips are $2 and drinks are $2.50 and we do not know how many he bought of each, we put this into an equation which is

2x+2.5y

x=number of bags of chips while the 2 is two dollars per bag

so, if he bought 2 bags of chips 2(2)= $4 spent.

y= number of drinks and 2.5 is $2.5 per drink, so if he bought 4 drinks:

2.5(4)= $10 spent on drinks.

4 0
3 years ago
A triangle has sides with lengths of 8 millimeters, 11 millimeters, and 14 millimeters. Is it a right triangle?
Burka [1]

Answer:

no

Step-by-step explanation:

3 0
3 years ago
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