HELPPPP MEEEE PLEASE!!!!

Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete

Svetllana [295]

Vertical angles are angles which are opposite to each other and have equal measures. With respect to the given proof, Angie completed the proof incorrectly.

Two angles are said to be vertical when they are opposite to one another and have equal measures. However, two angles are supplementary if they add up to 180°.

So, comparing Angie's and Becky's proofs, it can be deduced that from Angies proof:

1. Segment GH intersects segment AB at K (1. Given)

2. m∠AKG + m∠GKB = 180° (2. Definition of Supplementary Angles)

m∠GKB + m∠HKB = 180° (2. Definition of Supplementary Angles)

3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB (3. Substitution Property)

4. m∠AKG = m∠HKB (4. Subtraction Property)

Note:

Step 2 should be Angle Addition Postulate, since:

m∠AKG + m∠GKB = 180°

m∠GKB + m∠HKB = 180°

So that;

m∠AKG + m∠GKB = m∠GKB + m∠HKB

Subtract m∠GKB from both sides to have;

m∠AKG = m∠HKB (which is the proof for step 4)

Therefore, Angie completed the poof incorrectly because of the properties of steps 2 and 4.

A diagram is herewith attached for more clarifications.

Visit: brainly.com/question/24529637

8 0

2 years ago

Can you help me with this question please

shtirl [24]

Answer:

6 for $1.26 is better

Step-by-step explanation:

$1.26/6 = $0.21 per can

$1.98/9 = $0.22 per can

4 0

3 years ago

State whether set A and B are equal, equivalent, both, or neither. A = {9, 8, 7} B = {8, 9, 10}

bearhunter [10]

They're just equivalent.

7 0

3 years ago

What is the best approximation for the area of this circle?

butalik [34]

$Area =113.0ft^2$ . Correct option is D) 113.0 ft² .

Step-by-step explanation:

Here we have , A circle labeled with radius = 6 ft . We need to find the best approximation for the area of this circle . Let's find out:

We know that area of circle = $\pi r^2$ , We have following parameters as

$Radius = r = 6 ft\\\pi = 3.14\\Area= \pi r^2 = ?$

So , Area of circle is

⇒ $Area =\pi r^2$

⇒ $Area =(3.14) (6)^2$

⇒ $Area =(3.14) (36)^$

⇒ $Area =113.04ft^2$

On Rounding off

⇒ $Area =113.0ft^2$

Therefore , $Area =113.0ft^2$ . Correct option is D) 113.0 ft² .

5 0

3 years ago

Read 2 more answers

Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylin

lianna [129]

We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ = $\frac{4}{3}$ π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.

R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = π r² h
V₁ = 3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³

b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × V₂
Vₐ = 3 × $\frac{4}{3}$ π r³
Vₐ = 3 × $\frac{4}{3}$ 3.14 (6.5 cm)³
Vₐ = 3,449.3 cm³

c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V = $\frac{ V_{1}}{ V_{a} }$ ×100
V = $\frac{3,449.3}{5,173.9}$ ×100
V = 0.6666 ×100
V = 66.66%

4 0

3 years ago

Read 2 more answers

HELPPPP MEEEE PLEASE!!!!​

HELPPPP MEEEE PLEASE!!!!