MATHEMATICS HIGH SCHOOL

What postulate or theroem prove these triangles are congruent?

Answers

Answer 1

Answer:

Answer:

The Answer To Your To Your Question Is SAS (Side-Angle-Side) Theroem

Answer 2

Answer:

Answer:

Side angle side Theorem

Step-by-step explanation:

Related Questions

Rewrite A=P +Prt in a different format
Evaluate (1.18×103)⋅(9.1×10−6)
If y=2 when x=3. What is the value of y when x=9?
5x+12=5x+12 if somebody can help me with that please
2+46×8÷2= can someone find the answer

Which of the following is a solution of 4x2 = − 9x − 4?

Answers

get all on one side
add 9x+4 both sides
4x^2+9x+4=0
use quadratic formula
in form
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

a=4
b=9
c=4

x= $\frac{-9+/- \sqrt{9^(2)-4(4)(4)} }{2(4)}$
x= $(-9+/- √(81-64) )/(8)$
x= $(-9+/- √(17) )/(8)$
x= $(-9+ √(17) )/(8)$ or $(-9- √(17) )/(8)$

aprox
x=-1.64039 or -0.6096

4 x 2 = − 9x − 4

Multiply 4 and 2. Add 4 to both sides.
8 + 4 = -9x

Divide both sides by -9.
(8 + 4)/-9 = x

Simplify
-12/9 = x

(NEED DONE QUICK) Triangle ABC has a midsegment at DF and segment DF is parallel to segment BC.What is the value of x?

Answers

Answer:

x = 25

Step-by-step explanation:

Midsegment equals to half of the base

BC = 1/2 DF

3x + 1 = 1/2*8(x - 6)
3x + 1 = 4x - 24
4x - 3x = 1 + 24
x = 25

Answer:

x=25

Step-by-step explanation:

I am a quadrilateral with all my sides equal in length. none of my angles equals 90. what am i?

Answers

You are a rhombus. A rhombus is a quadrilateral with all sides equal in length but none of its angles are 90 degrees.

A rhombus is a four-sided polygon with all sides of equal length, making it a special type of parallelogram. Unlike a square, its angles are not right angles (90 degrees).

Rhombi have two pairs of opposite sides parallel, and their diagonals bisect each other at right angles. The rhombus's symmetry and equal side lengths create a balanced and diamond-shaped figure. It is a versatile shape found in various applications, from diamond gemstones to kite designs.

Due to its unique properties, a rhombus is commonly used in mathematics, geometry, and design. Its distinct features make it easily recognizable and distinguishable from other quadrilaterals.

To know more about rhombus:

brainly.com/question/12665650

#SPJ2

Rhombus. A rhombus has no right angles, but it's sides are all congruent, or equal.

A nest of ants initially contains 500 individuals. The population is increasing by 12% each week.a) How many ants will be there after :
i. 10 weeks
ii. 20 weeks

b)How many weeks will it take for the ant population to reach 2000.

Answers

Answer:

a) (i) 1553 ants

(ii) 4823 ants

b) 12 weeks

Step-by-step explanation:

Given,

The initial number of ants, P = 500,

Also, the rate of increasing per week, r = 12% = 0.12,

So, the number of ants after x weeks,

$A=P(1+r)^x$

$\implies A=500(1+0.12)^x=500(1.12)^x$

a) (i) If x = 10 weeks,

The number of ants would be,

$A=500(1.12)^(10)=1552.92\approx 1553$

(ii) If x = 20 weeks,

The number of ants would be,

$A=500(1.12)^(20)=4823.15\approx 4823$

b) If A = 2000

$\implies 2000 = 500(1.12)^x$

$4=(1.12)^x$

Taking log both sides,

log(4) = xlog(1.12)

⇒ x = 12.23 ≈ 12 weeks

A)4, 823
B)13 Weeks

A: 500 (1 + .12)^x (which is 500 (1 + .12)^20 now)
= 4823. 15 which is ≈ 4823.

B: 2000/ y1 = 500 (1 + .12)^x / y2

12.23 so 13 weeks

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = 8x7 – x5 + x3+6

Answers

According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.

According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6 x$ is $\boxed7.$

Further explanation:

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

$f\left( x \right) = a{x^n} + b{x^(n - 1)} +\ldots + cx + d$

The polynomial function has n roots or zeroes.

Degree is highest power of the polynomial function.

Given:

The polynomial function is $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6.$

Explanation:

The polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6$ has seven zeroes as the degree of the polynomial is 7.

According to the Fundamental Theorem of Algebra, the roots exist for the polynomial function $f\left( x \right) = 8{x^7} - {x^5} + {x^3} + 6$ is $\boxed7.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomials

Keywords: quadratic equation, equation factorization. Factorized form, polynomial, quadratic formula, zeroes, Fundamental Theorem of algebra, polynomial, seven roots.

Withdrawals by the owner for personal use do not affect net income or net loss of the business. a. True
b. False