Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be 
And the kitten weight = 
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
<em>Multiplying both sides by 2 we get:</em>
<em />
<em />
<em>Adding both sides by 6 we get:</em>
<em />
<em />
<em>Dividing both sides by 3 we get:</em>
<em />
<em />
<em>The weight of cat = 14 pounds.</em>
Substituting the value of 
to get the kitten's weight:
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.
X= 20 & Y= 70 in right-angled triangle .
What is right angle triangle?
- A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees.
- The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from.
- The longest of the three sides, known as the hypotenuse, is the third side.
2X + 140 = 180
2X = 40°
X = 20°
X + Y = 90°
Y = 70°
Learn more about right-angled triangle
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By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823
Answer:
Step-by-step explanation:
1) Isosceles triangle
2) Right angled triangle
3) Scalene triangle
4) Equilateral triangle
5) Right angled triangle
6) Scalene triangle
7) Equilateral triangle
8) Scalene triangle
9) a) Equilateral triangle
9) b) Scalene triangle
9) c) Isosceles triangle
9) d) Right angled triangle
Note: Right angled triangle - If one angle is right angle, then it is Right angled triangle
Isosceles triangle: If two angles or two sides are equal, then it is Isosceles triangle.
Scalene triangle: If all three sides or three angles have different measurement, then it is Scalene triangle.
Equilateral triangle: If all the three sides are equal or all the three angles are equal, then it is Equilateral triangle
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
