Answer:
42% decrease
Step-by-step explanation:
To get the percent increase or decrease, subtract 450 by 261 to get 189. Then divide this by 450 to get 0.42. Multiply this by 100 to get a 42 percent decrease.
Answer:
The value of x is 104
Step-by-step explanation:
we are given 52 we know that 52 is within an isosceles triangle.
which means 2 sides are the same which tells us that the two angles touching the unique side will have the same measure
we also know that a triangle adds up to 180 so 52 + 52 gives us 104 meaning the last angle will be 180 - 104 which is 76
now we have completed the first triangle if
if we look at corner c we know that it's a right angle
we know that right angles are a total of 90 degrees we know that the right angle is split into two complementary angles one of them is 52 which we figured from the first part so
90 - 52 would give us 38 now we know that in triangle CDE one of the measures is 38 at the c corner and another is 90 at the E corner
once again we do 90 + 38 = 128 and subtract that from 180 giving us 52.
Now we know the measures of triangle ADC and CDE
We also know that triangle EDB is a congruent mirror reflection of CDE
So by now we have the measures of 3 triangles CDE ADC AND EDB
we also know that angle F/x is equvilant to the total of both of angle D
so we just add 52 + 52 giving us the measure of the whole angle d combined which we know is eqivilant to angle f
So after all that we know that the value of x is 104 degrees.
Hope this helps its a long explanation but please take ur time to understand and read through it :)
Answer:
y = -3x + 2
Step-by-step explanation:
<u>Parallel means same slope which is -3</u>
<u />
<u>Step 1: Use point slope form</u>
(y - y1) = m(x - x1)
(y - (-4)) = -3(x - 2)
y + 4 - 4 = -3x + 6 - 4
y = -3x + 2
Answer: y = -3x + 2
A) The original claim in symbolic form is; p > 0.50
B) The Null Hypothesis is;
H₀: p = 0.50
Alternative Hypothesis is;
H_a: p > 0.50
<h3>How to identify the hypothesis claim?</h3>
We are given;
Sample size; n = 576
Sample Proportion; p^ = 59% = 0.59
A) The percentage of 59% represents the proportion of a sample and thus we are making a claim about the population proportion p in the hypotheses.
We claim "most of the adults", which indicates more than 50% or 0.50. Thus, the claim in symbolic form is; p > 0.50
B) The Null Hypothesis is;
H₀: p = 0.50
Alternative Hypothesis is;
H_a: p > 0.50
Read more about hypothesis claim at; brainly.com/question/15980493
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