All categories

3 years ago

B

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

4 0

Answer:

∠ ABD = 42°

Step-by-step explanation:

∠ ODC = 90° ( angle between tangent and radius )

∠ ADC = 90° - 48° = 42°

The angle between a tangent and a chord is equal to the angle in the alternate segment, that is

∠ ABD = ∠ ADC = 42°

You might be interested in

Help?? *****10 Points*****

BartSMP [9]

Use the power rule (which says to multiply the exponents)

1) n⁴ˣ⁸ = n³²

2) x³ˣ⁻⁵ = x⁻¹⁵ = $\frac{1}{x^{15} }$

3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵

8 0

3 years ago

Match each number in scientific notation with the number written in standard form and in a step by step process.

geniusboy [140]

Answer:

1) Option 3

2) Option 1

3) Option 2

Step-by-step explanation:

To find : Match each number in scientific notation with the number written in standard form and in a step by step process.

Solution :

From scientific to standard we expand the power of 10.

1) $6.82\times 10^7$

Remove decimal and open the power,

$6.82\times 10^7=\frac{682}{100}\times 10000000$

$6.82\times 10^7=68200000$

Therefore, $6.82\times 10^7=68,200,000$

Match with Option 3.

2) $6.82\times 10^{-6}$

Remove decimal and open the power,

$6.82\times 10^{-6}=\frac{682}{100}\times \frac{1}{1000000}$

$6.82\times 10^{-6}=\frac{682}{100000000}$

Therefore, $6.82\times 10^{-6}=0.00000682$

Match with Option 1.

3) $6.82\times 10^6$

Remove decimal and open the power,

$6.82\times 10^6=\frac{682}{100}\times 1000000$

$6.82\times 10^6=6820000$

Therefore, $6.82\times 10^6=6,820,000$

Match with Option 2.

7 0

3 years ago

Ten less than 3 times a numbers is the same as the number plus 4 please help

Dmitry_Shevchenko [17]

7 is the correct answer! :-)

6 0

3 years ago

Find the value of x, y, and z in the rhombus below.

Yuki888 [10]

Solution:

It should be noted:

Opposite sides of a rhombus are always equal.
Opposite angles of a rhombus are always equal.

Thus:

(-y - 10) = 90°
3z - 3 = 90°
4x - 2 = 90°

Finding x:

4x - 2 = 90°
=> 4x = 90 + 2
=> 4x = 92
=> x = 23

Finding y:

(-y - 10) = 90°
=> -y - 10 = 90°
=> -y = 100
=> y = -100

Finding z:

3z - 3 = 90°
=> 3z = 90 + 3
=> 3z = 93
=> z = 31

4 0

2 years ago

Read 2 more answers

3x−12≥15 2x−5≤9 5x+8≤53 3x−5≥16

zalisa [80]

Answer:

Step-by-step explanation:

A) 3x−12≥15

3x ≥ 15 + 12

3x ≥ 27

or x≥ 9

B) 2x−5≤9

2x ≤ 9 +5

2x ≤ 14

or x ≤ 7

C) 5x+8≤53

5x ≤ 53 -8

5x ≤ 45

or x ≤ 9

D) 3x−5≥16

3x ≥ 16 + 5

3x ≥ 21

or x ≥ 7

Have a good day!

8 0

3 years ago