The answer would be D just took test
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
Answer:
8x + 14
Step-by-step explanation:
12x - 4x + 3 + 11 <em>(</em><em>Subtract</em><em> </em><em>12x</em><em> </em><em>-</em><em> </em><em>4x</em><em>)</em>
8x + 3 + 11<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>Add</em><em> </em><em>3</em><em> </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>
8x + 14
Tip: the like-terms 12x and 4x can be subtracted like regular numbers because they have the same variable and exponent.
Answer:
Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.
Answer:
Step 4
Step-by-step explanation:
Given: Steps used by Shelly to evaluate the expression
To find: step that includes Shelly's mistake
Solution:
According to PEMDAS,
P denotes Parentheses
E denotes Exponents
M denotes Multiplication
D denotes Division
A denotes Addition
S denotes subtraction
Step 3 is 
and step 4 is 
In step 4, first subtraction operation has been applied before the division operation.
There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.
