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3 years ago

8

Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24

2 answers:

kakasveta [241]3 years ago

5 0

Use the distributive property.

3(6 + x) = 24

18 + 3x = 24

3x = 6

x = 2

jolli1 [7]3 years ago

5 0

Answer:

x=2

Step-by-step explanation:

3(6+x)=24

Divide both sides by 3.

6+x=24/3

Divide 24 by 3 to get 8.

6+x=8

Subtract 6 from both sides.

x=8−6

Subtract 6 from 8 to get 2.

x=2

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Find the area of the irregular shape. Round to the nearest tenth.

svp [43]

Given:
Irregular Shape:
Semi-circle and rectangle:

Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2

Area of rectangle = 8 cm * 5 cm = 40cm²
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4² is taken from diameter of 8cm divided by 2 to get the radius.

Total area = 40 cm² + 25.12 cm² = 65.12 cm²

3 0

3 years ago

Round 3,236 to the nearest hundred<br>

Xelga [282]

Answer:

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Step-by-step explanation:

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3 years ago

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allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD (Given)

$\angle ADC\cong \angle ACD$

$m\angle ADC=m\angle ACD$

According to the angle sum property, the sum of interior angles of a triangle is 180°.

$m\angle ADC+m\angle ACD+m\angle DAC=180$

$m\angle ACD+m\angle ACD+44=180$

$2m\angle ACD=180-44$

$2m\angle ACD=136$

Divide both sides by 2.

$m\angle ACD=68$

CE bisects ∠ACD.

$m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}$

$m\angle ACE=m\angle DCE=\dfrac{68}{2}$

$m\angle ACE=m\angle DCE=34$

Use angle sum property in triangle CDE,

$m\angle CDE+m\angle DCE+m\angle DEC=180$

$68+34+m\angle DEC=180$

$68+34+m\angle DEC=180$

$102+m\angle DEC=180$

Subtract 102 from both sides.

$m\angle DEC=180-102$

$m\angle DEC=78$

Therefore, the measure of angle DEC is 78°.

6 0

3 years ago

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Rudik [331]

Answer:

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Step-by-step explanation:

3 0

3 years ago

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LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Mazyrski [523]

Answer:

$LN = 55$

Step-by-step explanation:

Given

$LN = 12w + 7$

$LP = 15w - 5$

Required

Determine LN

Since LM is a bisector, then we have:

$LP = LN$ (See attachment for illustration)

$15w - 5 = 12w + 7$

Collect Like Terms

$15w - 12w = 5 +7$

$3w = 12$

Solve for w

$w = 12/3$

$w = 4$

LN is calculated as thus:

$LN = 12w + 7$

Substitute 4 for w

$LN = 12 * 4 + 7$

$LN = 48 + 7$

$LN = 55$

8 0

3 years ago