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Artyom0805 [142]
3 years ago
6

PLEASE HELP x = ___ units

Mathematics
1 answer:
Shkiper50 [21]3 years ago
8 0

Answer:

x = <u>16</u> units

Step-by-step explanation:

∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

Side opposite of 90° [∆BCD] = BC = 32.

Since x is opposite of 30° [∆BCD].

x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.

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Help please, asap. thank you
Sergio039 [100]

Answer:

KL = 28

YZ = 76

LZ = 38

Step-by-step explanation:

Because J K and L are midpoints, the segment lengths are half of the segments from the XYZ triangle.

Think of it like this: ZLK is just ZXY scaled to half.

From that we get:

KL = YX/2 = 56/2 = 28

YZ = 2*KJ = 2*38 = 76

LZ = YZ/2 = 76/2 = 38

6 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. A) y – 1 = 2(x – 3) B) y – 3
fomenos
So point slope form is y=mx+b where m=slope and b=y intercept so

in (x,y) form
one solution is x=1 and y=3, also slope is 2 so
m=2
subsitute
3=2(1)+b
3=2+b
subtract 2
1=b
equation is
y=2x+1

tricky answers so simplify them
A: y-1=2(x-3)
distribute
y-1=2x-6
add 1
y=2x-5
not the answer

B: y-3=2(x-1)
distribute
y-3=2x-2
add 3
y=2x+1
correct
the answer is B
5 0
4 years ago
I need help with this one also don’t put a link
Nadya [2.5K]

Answer: 306 cm^2

Step-by-step explanation:

Surface is found by add all the areas of the sides together, including sides, top and bottom. You might need to divide the 3D shape into different shapes in order to find the area of the sides/top/bottoms. Area for rectangle = bxh.

8 0
3 years ago
Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysi
nexus9112 [7]

Answer:

$136

Step-by-step explanation:

6 0
3 years ago
Rani and her friends are raking leaves as a part of a school service project. The regular price of the supplies they need is 60$
olga2289 [7]

The sale price of the supplies is $48.

<u>Step-by-step explanation</u>:

  • Regular price = $60.
  • Discount price = 20% of $60

⇒ (20/100) 60

⇒ (1/5) 60

⇒ 12

∴ The discount price is $12.

The sale price = regular price - discount price.

The sale price =  $60 - $12 = $48

5 0
4 years ago
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