Use the Distributive Property to find 2/5 × 10 2/3

A triangle has one angle that measures 72 degrees and one angle that measures 18 degrees what kind of triangle is it

MariettaO [177]

Answer:

a rightangle triangle

Step-by-step explanation:

because 72+18=90 degrees

when a side is 90 degrees in a triangle, it is right-angled.

hope this helps you!!

7 0

3 years ago

Use calculations and words to show this quadrilateral meets the definition of a kite.❤

Y_Kistochka [10]

Answer:

Step-by-step explanation:

A kite is a quadrilateral that has only one line of symmetry, and bisecting diagonals.

From the graph,

AB = 6 units

BC = 8 units

CD = 8 units

AD = 6 units

i. Has exactly one pair of congruent sides. Examples are; AB = AD and BC = CD.

ii. The diagonals are perpendicular. AC is at right angle to DB.

iii. The diagonals bisect each other. AC bisects DB, or vice versa.

Therefore, quadrilateral ABCD is a kite.

8 0

3 years ago

A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6

Zielflug [23.3K]

Answer:

The interval (-0.0199, 0.0510) represents the region of values where the true difference (in population terms now) between the initial proportion of registered voters that favour candidate X and the proportion of registered voters that favour candidate X just before election can take on with a confidence level of 90%.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence. It is usually obtained from the sample.

p₁ represents the proportion of registered voters that favour candidate X in the initial poll, way before the election.

p₂ represents the proportion of registered voters that favour candidate X in the poll just before the election.

So, for this question the confidence interval for the true difference between the population proportion of registered voters that favour candidate X way before the elections and the population proportion that favour candidate X just before the election lies within (-0.0199, 0.0510) with a confidence interval of 90%.

Confidence interval is calculated mathematically as thus:

Confidence Interval = (Difference in Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the difference in the two sample proportions.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value = 1.645 (obtained from the z-tables because the sample size is large enough to ignore that information about the population standard deviation isn't given and t-critical value approximates z-critical value)

Hope this Helps!!!

4 0

3 years ago

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes: Graph titl

Degger [83]

Answer:

The initial value is 3

It represents the distance between the bird and its nest before any elapsed time which is 3 miles.

Step-by-step explanation:

The graph is shown in the attached image.

The general form of a straight line is:

y = mx + c

where:

m is the slope and c is the y-intercept.

The y-intercept is also known as the initial value. It is the value of y at x=0.

From the givens, we can note that at x = 0, the y-value is 3. This means that the y-intercept is 3.

Now, in the problem, x represents the time in minutes while y represents the distance of the bird from the nest in miles.

At x = 0, meaning before any time elapsed, the distance of the bird from its nest was 3 miles.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Many 4 digit numbers can be formed using only the numbers 3 2 7 6 0 4 9 if

ryzh [129]

Hi!

The combination of 4 digit numbers using those numbers are: 3, 276; 3, 762; 3, 267; 3, 726; 3, 672 etc. This is pretty easy, now you try.

Hope I helped! Have a nice day!

6 0

3 years ago