7 is the value of x, and 64° is the measure of the unknown angle.
Triangle angles of 76°, (9x+1)°, and 40° are provided.
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.
Now, the total of a triangle's three angles equals
76°+(9x+1)°+40°= 180°
⇒ 116+9x+1 = 180
⇒ 9x + 117 = 180
⇒ 9x = 63
⇒ x = 7
So, 9x+1=64°
As a result, x is equal to 7 and the unmeasured angle is 64°.
To learn more about the angle sum property of a triangle, refer to this link:
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Bob cannot distribute the cups in six equal stacks and not have any left over.
Step-by-step explanation:
In order to divide the total number of cups in six equal stacks with no left over, the total number of cups will be divided by 6, if there is any remainder then the cups cannot be equally divided with no left over.
So
Dividing 64 by 6
Here
Quotient = 10
Remainder = 4
As there are 4 cups left, Bob cannot distribute the cups in six equal stacks and not have any left over.
Keywords: Division, fractions
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23/4
Step by step:
5/1 + 3/4
5/1 • 4 = 20/4
20+3/4
23/4
Answer:
8
Step-by-step explanation:
k + 9 = 17
subtract 9 from both sides:
k = 8
