Answer:
The two angles are 85 and 95 degrees
Step-by-step explanation:
Supplementary angles add to 180
Let x be one angle
The supplement is 10 less, ( x-10)
They add to 180
x+ ( x-10) = 180
2x -10 = 180
Add 10 to each side
2x-10+10 =180-10
2x= 190
Divide by 2
2x/2 =190/2
x=95
The other angle is 95-10 = 85
The two angles are 85 and 95 degrees
Answer:
The size of the population mean would be provided as:
mean +/- std/sqrt(sample size)
<=>
87.3 +/- 13.6/sqrt(175)
<=>
87.3 +/- 1.03
=> Option B is correct.
Hope this helps!
:)
Answer:
For X = 11, the expression is equal to 31
Step-by-step explanation:
Hello
For X = 11 you only have to replaced the value into the expression, so:
3(11) + 4(11-8) - 14
33 + 4(3) - 14
33 + 12 - 14
31
Best regards
<h2>
Answer explanation:</h2>
If a coin is fair then it has two faces , one is heads and the another is tails.
The probability getting any favorable outcomes is given by the formula :-

So the factor effecting probability is just the number of favorable outcomes and total outcomes.
If a coin is tossed then the probability of getting heads will be :-

To get heads always this should be 1 , which can be happen if number of favorable outcomes is equal to total outcomes.
i.e. Number of heads = Number of total outcomes, this means coin should be biased.
Catching the coin in mid-air can never be a factor for this.
Therefore, the little brother's theory is false.
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate