56 units are in the sum of the lengths of the three altitudes in a triangle with sides $7,$ $24,$ and $25$
Properties of triangles are:
A triangle has three sides and three angles.
The sum of the angles of a triangle is always 180 degrees.
The exterior angles of a triangle always add up to 360 degrees.
The sum of consecutive interior and exterior angle is supplementary.
<h3 /><h3>How to solve?</h3>
Given:
Height: ha = 7
Height: hb = 24
Height: hc = 25
Sum to sides is:
25 +7 + 24 =56 units.
Learn more about Triangles:
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First calculate that numeric value. It cannot be done immediately without calculations.
if 85% of studends liked mystery that means that 100% - 85% = 15% didnt like.
Those 15% are 30 that were given in text. Now we can calculate this using proportion:
15% 30 students
85% x students
we use cross multiplication:
15*x = 30*85
x = 30*85/15
x = 170
Answer is 170
52,000,004
- 31
_________
51, 999, 973
Subtracting numbers is one of the basic operations in math.
Firstly, the order of operations is as follows: PEMDAS or parentheses, exponents, multiplication, division, addition, then subtraction.
All of these are done in the exact order given above.
For example, given the equation (4 x 7) + (6 / 2) - 3^2 = ?
1. Parentheses
- Solve the equations within the parentheses first.
(4 x 7) + (6 / 2) - 3^2 = 28 + 3 - 3^2
2. Exponents
- Second, if there are any exponents, solve this.
28 + 3 - 3^2 = 28 + 3 - 9
3. Mulltiplication
4. Division
5. Addition
28 + 3 - 9 = 31 - 9
6. Subtraction
31 - 9 = 22
Answer: 22.
<span>Hope this helps.</span>
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:
x power 2 and -9 is the result