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ZanzabumX [31]
1 year ago
15

Part III: Find the unknown side lengths, AB and BC. HINT: Use either the Pythagorean Theorem or special right triangle propertie

s.

Mathematics
1 answer:
yaroslaw [1]1 year ago
4 0

The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

<h3>What is a right-angle triangle?</h3>

If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.

From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.

From the Δ ABC we found;

tan 45° = AB/BC

1=AB/BC

AB=BC

sin 45° = AB/AC

(1/√2)=AB/AC

AC = √2 AB

From the graph, it is observed that

AB=BC =3 units

AC=  √2 AB

AC = 3√2 units

Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

To learn more about the right-angle triangle, refer;

brainly.com/question/3770177

#SPJ1

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The distance from the library to the park is your point 7 km how many meters is this
sattari [20]

Answer:

7000 meters

Step-by-step explanation:

We know that 1 km = 1000 meters

7 km * 1000m/km = 7000 meters

5 0
3 years ago
Which types of waves are stopped by the atmosphere (ozone)??
Neko [114]
Dangerous UV waves, and long radio waves
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3 years ago
Given segment AC and point B that lies on AC,
ololo11 [35]

The total length of the segment AC is the sum of AB and CB, which gives, CB = 9

<h3>How can the length of CB be found?</h3>

The given parameters are;

  • AC = 17
  • AB = 32 + 3•x
  • CB = 57 + 6•x

Required: <em>CB</em>

Solution:

AC = <em>AB + CB</em> by segment addition property

Therefore;

AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x

17 = 89 + 9•x

x =  \frac{17 - 89}{9}  =  - 8

CB = 57 + 6•x = 57 + 6 × (-8) = 9

Therefore;

  • <u>CB = 9</u>

Learn more about segment addition postulate here: brainly.com/question/1721582

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8 0
2 years ago
Solve 4(-4x- 3)&gt; 36
wariber [46]

Answer:

x=3

Step-by-step explanation:

Simplifying

4(4x + -3) = 36

Reorder the terms:

4(-3 + 4x) = 36

(-3 * 4 + 4x * 4) = 36

(-12 + 16x) = 36

Solving

-12 + 16x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 16x = 36 + 12

Combine like terms: -12 + 12 = 0

0 + 16x = 36 + 12

16x = 36 + 12

Combine like terms: 36 + 12 = 48

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

8 0
3 years ago
Read 2 more answers
Plz help me with my geometry asap 50 pts and brainliest NO SCAMMING OR I WILL REPORT
bearhunter [10]

Step-by-step explanation:

1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.

2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)

3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)

4. that means that ΔADB ≅ΔCDB via SSS rule.

5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
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