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Marta_Voda [28]
2 years ago
13

(All yes or no questions). Determine whether each of the following pairs of angles have equal measures:

Mathematics
1 answer:
erica [24]2 years ago
6 0

9514 1404 393

Answer:

  a) no

  b) yes

  c) yes

  d) no

Step-by-step explanation:

Angle LJM is complementary to KJL, so is ...

  angle LJM = 90° -42° = 48°

Angle NJP is marked as congruent to angle PJQ, so is also 48°.

__

a) ∠KJL = 42° ≠ 48° = ∠LJM . . . . NO

b) ∠MJP = 46°+48° = 48° +46° = ∠PJR . . . . YES

c) ∠LJP = 48° +46° +48° = 48° +48° +46° = ∠NJR . . . . YES

d) ∠MJK = 90° ≠ 48° +46° = ∠PJR . . . . NO

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Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
docker41 [41]

Hi There!


Dori leaves her house at 12pm.

50 steps per minute until 12:20pm.

Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,

12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps


Malory leaves her house at 12:20pm.

Walks 90 steps per minute.

12:20 -  12:30 pm. = 10 minutes = 10 x 90 = 900


Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500

500 + 1000 = 1500


Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900

900 + 900 = 1800


Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500

1750 + 500 = 2250


Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900

450 + 1800 = 2250


Answer: they have the same number steps at 12:45 p.m.


Hope This Helps :)

3 0
3 years ago
Convert the following equations from point-slope form to slope-intercept form.
mojhsa [17]
<h2>Answer:</h2>

We need to solve both for y.

<u>#9:</u>

<u />y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1<u />

<u>#10:</u>

<u />y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11<u />

7 0
3 years ago
Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the
vodomira [7]

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

<em><u>Solution:</u></em>

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3><u>Steps to follow:</u></h3>
  • First: work out the difference (increase) between the two numbers you are comparing.
  • Increase = New Number - Original Number.
  • Then: divide the increase by the original number and multiply the answer by 100.
  • % change = Increase ÷ Original Number x 100

\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100

\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}

Thus the rate of change is 391.5 % increase

5 0
3 years ago
How you save 6x-2=5x+29
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6x-2=5x+29
6x-5x-2=29
x-2=29
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3 years ago
Transversal CD←→ cuts parallel lines PQ←→ and RS←→ at points X and Y, respectively. Points P and R lie on one side of CD←→, whil
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When parallel lines are cut by a transversal, then alternate interior angles are congruent.
Angles PXY and XYS are alternate interior angles.
m∠XYS = m∠PXY
Answer:
m∠XYS = 64.36°
5 0
3 years ago
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