All categories

3 years ago

What would be the answer

Mathematics

2 answers:

Anastasy [175]3 years ago

7 0

Answer:

Third option

Step-by-step explanation:

Congruency by the AAS postulate

If 2 angles and a non- included side of one triangle are congruent to 2 angles and a non- included side of another triangle then the triangles are congruent.

Here ∠ABC ≅ ∠DEF and ∠ACB ≅ ∠DFE

The non- included side is AB ≅ DE

Zepler [3.9K]3 years ago

5 0

Answer:

$\overline{AB} \cong \overline{DE}$

Step-by-step explanation:

Under the AAS postulate, two triangles are congruent if any two angles and a non-included side are congruent in both. Therefore, if $\angle{B} \cong \angle{E}$ and $\angle{C} \cong \angle{F}$ , then $\overline{AB}$ would need to be congruent to $\overline{DE}$ to prove that the two triangles are congruent. The other solution would be $\overline{AC} \cong \overline{DF}$ , but that is not an answer choice.

You might be interested in

Find the cube of 0.58

andrey2020 [161]

Answer:

(0.58)³ = 0.195112

Step-by-step explanation:

please mark me as brainliest

7 0

3 years ago

The length of a rectangle is one less than 3

PSYCHO15rus [73]

Answer:

l= 10 , w=7

Step-by-step explanation:

If the length of a rectangle is 11 m less than 3 times the width, then we can come up with this equivalency:

l = 3w - 11

where l stands for length and w stands for width. Now we plug in the equivalency into the equation for the area of a rectangle:

A = lw

A = (3w - 11)w

70 = (3w - 11)w

70 = 3w2 - 11w

Then solve for w by completing the square. Now, in order to complete the square for this, we need to find a completion that fits 3w2 - 11w + ? and completes the base factoring of (√(3)w - ? )2. The only one that fits the second question mark so that it can work out to the first is (11√3)/6, and when we work it into the first question mark, the first question mark becomes 121/12. Essentially, what we have for completing the square is:

70 + 121/12 = 3w2 - 11w + 121/12

80.08333 = (√(3)w - (11√3)/6)(√(3)w - (11√3)/6)

80.08333 = (√(3)w - (11√3)/6)2

8.94893 = √(3)w - (11√3)/6

Solving for w, we get:

12.124 = √(3)w

w = 7

Since we know that the length is 11 m less than 3 times the width, we can plug w into the first equation to find l:

l = 3w - 11

l = 3(7) - 11

l = 21 - 11

l = 10

And if we want to check, lw = (10)(7) = 70.

7 0

3 years ago

-4x + 3y = -2 Y = x - 1

Nikitich [7]

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Substitute in y: -4x + 3(x - 1) = -2
[Distributive Property] Distribute 3: -4x + 3x - 3 = -2
Combine like terms: -x - 3 = -2
[Addition Property of Equality] Add 3 on both sides: -x = 1
[Division Property of Equality] Divide -1 on both sides: x = -1

Step 3: Solve for y

Substitute in x [Original Equation]: y = -1 - 1
Subtract: y = -2

8 0

3 years ago

PYTHAGORAS work out the side of b. give your answers to one decimal place

Contact [7]

Answer:

12 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 12 cm

c = 17 cm

Step 2: Solve for b

Substitute in variables [Pythagorean Theorem]: 12² + b² = 17²
Evaluate exponents: 144 + b² = 289
[Subtraction Property of Equality] Subtract 144 on both sides: b² = 145
[Equality Property] Square root both sides: b = √145
[√Radical] Evaluate: b = 12.0416
Round: b ≈ 12.0

6 0

3 years ago

Drew exercises every eight days and sara every 12 days. drew and sara both exercised today. how many days will it be until they

xenn [34]

It will take 24 days for them to exercise together. You have to find a common number that both 8 and 12 go into evenly so 8x1=8, 8x2=16, 8x3=24 and 12x1=12, 12x2=24. So this will be Drew's third time at the gym and Sara's second time when they both go together

7 0

3 years ago