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yKpoI14uk [10]
3 years ago
14

If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

        = 48°

Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

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Fittoniya [83]

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

6 0
3 years ago
Write the equation in slope-intercept form.<br> 5x +<br> 5y = 35
vekshin1

Answer:

y = -x + 7

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Standard Form]   5x + 5y = 35

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form.</em>

  1. Subtract 5x on both sides:                    5y = -5x + 35
  2. Divide 5 on both sides:                         y = -x + 7
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264
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Answer:

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Step-by-step explanation:

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Let z represent the combined total amount paid for the class fees.

The total combined time for the two school is given as:

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The combined total amount represented as z is given as:

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