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Phantasy [73]
2 years ago
12

Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass

to construct the lines and arcs shown.
What should Liam do for his next step?

A. Place the point of the compass on point A and draw any arc above it.

B. Use the straightedge to draw a horizontal line that contains point E.

C. Use a straightedge to draw AE¯¯¯¯¯.

D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Mathematics
1 answer:
AfilCa [17]2 years ago
3 0

Answer:

Step-by-step explanation:

B

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The table represents an exponential function.
Minchanka [31]

we know that

The multiplicative rate of change of the exponential function between two points is equal to

[f(b) / f(a) ] / (b-a)

Let

A(1,6)\\B(2,4)

we have that

f(a)=6\\f(b)=4\\a=1\\b=2

substitute in the formula

[4 / 6 ] / (2-1)=4/6=2/3

Let

A(3,8/3)\\B(4,16/9)

we have that

f(a)=8/3\\f(b)=16/9\\a=3\\b=4

substitute in the formula

[(16/9) / (8/3) ] / (4-3)=48/72=2/3

therefore

<u>the answer is the option</u>

B.) 2/3



8 0
2 years ago
Read 2 more answers
Which two statements are missing in steps 3 and 4?
Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. AB=6 units

YZ=3 units

BC=8 units

XY=4 units, then

\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2

2. \angle B and \angle Y are right angles - given

3.  \angle B\cong \angle Y two right angles are always congruent.

4. \triangle ABC\sim \triangle ZYX by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

4 0
2 years ago
Read 2 more answers
Mrs.Helio has 2 3/4 acres of farmland. she will plant corn on 1/4 of this land, potatoes on 1/12 of the land, wheat on 5/8 of th
Kazeer [188]
2 3/4 acres is the same as 11/4 acres
To find how much of the land is beans, find how much is already taken up, and the rest is beans.
Farmland-Corn-Potatoes-Wheat=Beans
1-(1/4)-(1/12)-(5/8)=1/24

Corn: (1/4)x(11/4)=11/16 acres
Potatoes: (1/12)x(11/4)=11/48 acres
Wheat: (5/8)x(11/4)=55/32 acres or 1 23/32 acres
<span>Beans: (1/24)x(11/4)=11/96 acres</span>
4 0
2 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
fredd [130]
Let d =  the length of the trail, miles

Note that
distance = speed * time
or
time = distance / speed.

The time, t₁, to travel the trail at 3 miles per hour is
t₁ = d/3 hours
The time, t₂, to travel back at 5 miles per hour is
t₂ = d/5 hours

Because the total time is 3 hours, therefore
t₁ + t₂ = 3
d/3 + d/5 = 3
d(1/3 + 1/5) = 3
d(8/15) = 3
Multiply each side by 15.
8d = 3*15 =45
d = 45/8 = 5 5/8 miles or 5.625 miles
Total distance = 2*d = 11.25 miles or 11 1/4 miles.

t₁ = 5.625/3 = 1.875 hours or 1 hour, 52.5 minutes
t₂ = 5.625/5 = 1.125 hours or 1 hour , 7.5 minutes

Answers ;
Time to travel at 3 miles per hour = 1.875 hours (1 hour, 52.5 minutes)
Time to return at 5 miles per hour = 1.125 hours (1 hour, 7.5 minutes)
Total distance traveled = 2*d = 11.25 miles.

6 0
2 years ago
Read 2 more answers
The number of people who attended a concert on Friday was 3/4 the number of people who attended the same concert on Saturday. A
LiRa [457]

On Saturday, 4/4 of the amount of people attended.  On Friday, 3/4 of the amount on Saturday attended.  We have 7 parts (3 from Friday and 4 from Saturday).

840/7 = 120.

Thus, 360 people attend on Friday and 480 on Saturday.

8 0
2 years ago
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