How are the functions y=2x and y=2x-3 related

Refer to the figure. Barton Road and Olive Tree Lane

Fantom [35]

Angles at right-angle add up to 90 degrees

The measure of acute angle Tryon Street forms with Barton Road is <em>33 degrees</em>

The angle is given as:

$\mathbf{A = 57^o}$ ---- <em>Angle formed by Tryon Street with Olive Tree Lane. </em>

The measure of the acute angle formed by Tryon Street with Barton Road (B) is calculated using:

$\mathbf{A + B = 90}$ ---- angle at right-angle

Make B the subject

$\mathbf{B = 90 - A}$

Substitute 57 for A

$\mathbf{B = 90 - 57}$

$\mathbf{B = 33}$

Hence, the measure of acute angle is 33 degrees

Read more about acute angles at:

brainly.com/question/10334248

3 0

2 years ago

The granola summer buys used to cost $6.00 per pound, but it has been marked up 15%. How much in dollars and cents will summer p

Norma-Jean [14]

Summer will pay $17.94 for 2.6 lbs of granola

6 0

3 years ago

More evaluation that I need help on p.s you do not need to explain your work because I just need the answer

makvit [3.9K]

Your answer is C) 1/9

lol I just solved the other answer sorry but people are going to try and take free points so I needed to give an answer to show that someone did something. Hope I helped anyway. You don't need to mark brainliest, but I'd appreciate it if you did.

6 0

3 years ago

in 2009 Larry's gross pay was $275,800 in that year the maximum taxable for Social Security was 118500 and the Social Security w

zysi [14]

Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.

<h3>How much did Larry pay in social security taxes?</h3>

The total amount paid by Larry as Social security tax can be found as;

= Maximum amount allowable for social security tax x Social security tax rate

The social security tax rate was 6.2% not 62.2%.

The social security tax was therefore:

= 118,500 x 6.2%

= $7,347

Find out more on social security taxes at brainly.com/question/13255138

#SPJ1

3 0

2 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: <u>ΔABC is similar to ΔADC</u>

Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>

Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ <u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0

2 years ago