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3 years ago

Simplify the following expression.

Mathematics

2 answers:

nadezda [96]3 years ago

7 0

It's B the answer because when you look it up it gives u the answer on the answer book

Mkey [24]3 years ago

5 0

If you would like to simplify the following expression (28x - 7y) + (32x + 52y), you can do this using the following steps:

(28x - 7y) + (32x + 52y) = 28x - 7y + 32x + 52y = 28x + 32x - 7y + 52y = 60x + 45y

The correct result would be B. 60x + 45y.

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In Circle P, m EA=58, m BC=42, m CD=90, find:

elena55 [62]

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

m∠EDA = 90°
m∠BDC = 21°
m∠BEC = 21°
$m\widehat{AB}$ = 80°
m∠AEB = 40°
m∠ECA = 29°
m∠BAC = 21°
$m\widehat{ED}$ = 90°
m∠ECD = 45°
m∠ACB = 40°
m∠EBD = 45°
m∠ADB = 40°
m∠CAD = 45°
m∠EAB = 90°
m∠EBC = 90°

Reasons:

$\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC$ Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴ m∠EDA = 0.5 × 180° = 90°

2. $m\widehat{BC}$ = 42°, therefore, m∠BPC = 42°

$\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC$

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. $m\widehat{AB}$ = 180° - (58° + 42°) = 80°

5. $\mathbf{m\widehat{AB}}$ = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × $m\widehat{EA}$

m∠ECA = 0.5 × 58° = 29°

m∠ECA = 29°

7. m∠BAC = 0.5 × $\mathbf{m\widehat{BC}}$

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. $m\widehat{ED}$ = 180° - $\mathbf{m\widehat{CD}}$

$m\widehat{ED}$ = 180° - 90° = 90°

$\mathbf{m\widehat{ED}}$ = 90°

9. m∠ECD = 0.5 × $\mathbf{m\widehat{ED}}$

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × $m\widehat{AB}$

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × $\mathbf{m\widehat{ED}}$

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × $\mathbf{m\widehat{AB}}$

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × $\mathbf{m\widehat{CD}}$

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 × $\mathbf{m\widehat{EABC}}$

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 × $\mathbf{m\widehat{EABC}}$

m∠EBC = 0.5 × 180° = 90°

Learn more about circle theorems here:

brainly.com/question/25101481

3 0

3 years ago

3(3 + 3j) how do you solve this

LekaFEV [45]

Hi! So first thing you need to do is distribute 3 through the parentheses! Then once you solve that, that is your simplified equation!

Please give brainliest!❤️

5 0

3 years ago

Read 2 more answers

DeAngelo is training for a half marathon. Today he is running 13.25 miles. He jogs for the first half hour at a rate of 5.5 mile

Nezavi [6.7K]

For this case, the first thing we must do is define a variable.
We have then:
p: rate in miles per hour for the last 1.5 hours
We now write the equation that models the problem.
We have then:
$(0.5) * (5.5) + 1.5p = 13.25
$
Rewriting we have:
$2.75 + 1.5p = 13.25
$
From here, we clear the value of p.
We have then:
$1.5p = 13.25 - 2.75

p = 10.5 / 1.5

p = 7$
Answer:
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour.

5 0

3 years ago

Use a single digit times a power of 10 to express the number 866,214,000,000

BartSMP [9]

Answer:

8.66214 x 10^11

Step-by-step explanation:

question may ask to round, so the answer may be simplified to 9 x 10^11

3 0

4 years ago

Jane ran 72 miles in 6 days. Then she tripled her rate. How long would it take her to travel 648 miles at the new speed?

ollegr [7]

Answer:

18 days

Step-by-step explanation:

72/6=12 miles per day

12*3=36

648/36=18 days

8 0

3 years ago