If BCD ~ GEF, find BD

A set of notations (SSS, SAS, ASA and RHS) is used to describe/prove

Svet_ta [12734]

Detailed breakdown:

locate the triangles

5 0

3 months ago

Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2

Inessa [12570]

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

rationale: The volume of Box 1 is represented by a monomial multiplied by another monomial, resulting in a monomial.

Conversely, the volume of Box 2 is represented by a monomial multiplied by a binomial, producing a binomial.

4 0

2 months ago

Read 2 more answers

Maia had 2064 more beads than Jenny. After Maia used 144 beads to make a necklace, she had 5 times as many beads as Jenny. A) ho

tester [12383]

Answer:

A) Maia had 1920 beads more.

B) Maia had 2544 beads at first.

Step-by-step analysis:

Let x denote the beads with Jenny and y for Maia.

The information provided states that Maia possesses 2064 beads more than Jenny, which can be represented mathematically as:

$y=x+2064...(1)$

Additionally, after Maia made a necklace with 144 beads, she had five times more beads than Jenny.

This can also be formulated as an equation:

$y-144=5x...(2)$

A) Since Maia had 2064 beads more than Jenny before using 144 beads, we calculate her final bead count by subtracting 144 from 2064.

$\text{Number of beads Maia had more than Jenny in the end}=2064-144$

$\text{Number of beads Maia had more than Jenny in the end}=1920$

Thus, Maia is left with 1920 beads more than Jenny.

B) To solve this system of linear equations, we will utilize the substitution method.

By inserting equation (1) into equation (2), we arrive at:

$x+2064-144=5x$

$x+1920=5x$

$x-x+1920=5x-x$

$1920=4x$

Now, let's divide our equation by 4.

$\frac{1920}{4}=\frac{4x}{4}$

$480=x$

Now, we'll substitute x=480 into equation (1) to isolate y.

$y=480+2064$

$y=2544$

Conclusively, Maia initially had 2544 beads.

3 0

3 months ago

The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of servi

Inessa [12570]

Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Based on the details provided:

Employees with less than 3 years receive an increase of $0.50 hourly

Employees with at least 3 years but under 6 years receive $1.00 increase hourly

Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly

Employees with at least 9 years but below 12 years receive $2.00 increase hourly

This information can be expressed as a piecewise function:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

The conditions are outlined in the piecewise function above with x indicating the number of years employed.

6 0

3 months ago

Find a solution to the linear equation 13x + y = 26 by filling in the boxes with a valid value of x and y.

Inessa [12570]

Answer:

MOM

Step-by-step explanation:

6 0

2 months ago