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Kazeer [188]
3 years ago
10

Explain why the absolute value of a number is never negative

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
Think of it as the amount of spaces you move on a number graph. so for example from -3 to -7 is 4 spaces. i hope you find this helpful! 
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If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
m_a_m_a [10]

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

        = 48°

Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

5 0
3 years ago
X/9 = 9/27 please solve this for me
mars1129 [50]

Answer:

x=3

Step-by-step explanation:

This is a proportional equation:

Given: x/9=9/27

Cross-multiply: 27x=81

Divide: x=3

So x=3

6 0
3 years ago
Read 2 more answers
What is mZ1?<br> 490<br> 470<br> m21
zalisa [80]

490

Step-by-step explanation:

4333333

67

8

6 0
3 years ago
ABCD Is a rectangle that represents a park.
Andru [333]

Answer:

Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = \sqrt{50^{2}+80^{2} } = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = \frac{15}{2} = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = \frac{47.123}{2} = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass  from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

3 0
3 years ago
Read 2 more answers
The Steckels decide to spend less on food and on entertainment in order to put more money into savings. Which graph could repres
Mila [183]

Answer:

The graph answer choices are needed to answer this question, otherwise no one can help you.

Step-by-step explanation:

6 0
2 years ago
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