A student said we cannot subtract 1.97 from 20 because 1.97 has two decimal digits and 20 has none. Do you agree with his statem
2 answers:
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Answer:
x = 7
Step-by-step explanation:
In an isosceles triangle, both legs are always congruent. The length of one leg is given, and the other leg has to be the same. The perimeter of this triangle can be written as:
With this equation, all you need to do is solve for x.
Answer:
y=9x+20
Step-by-step explanation:
5x-12y-17=0 (plus 17 from both sides)
5x-12y=17 (plus 12y from both sides)
5x=12y+17 (divide 5 from everything)
5x-12y-17=0 (plus 17 from both sides)
5x-12y=17 (minus 5x from both sides)
-12y=-5x+17 (divide everything by -12)
1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)
1*9x+18-y-1+3=0 (times 9x by 1)
9x+18-y-1+3=0 (combine like terms)
9x-y+20=0 (minus 20 from both sides)
9x-y=-20 (plus y to both sides)
9x=y-20 (divide 9 from both sides)
1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)
1*9x+18-y-1+3=0 (times 9x by 1)
9x+18-y-1+3=0 (combine like terms)
9x-y+20=0 (minus 20 from both sides)
9x-y=-20 (minus 9x from both sides)
-y=-9x-20 (divide -1 from everything)
y=9x+20
Answer:
The two column proof is presented as follows;
The given parameters are;
=
and
=
Statement Reason
=
and
=
Given
≅
Reflexive property
=
By the definition of congruency
ΔADB ≅ ΔCDB By Side-Side-Side (SSS) rule of congruency
ΔADB = ΔCDB By the definition of congruency
If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency
Step-by-step explanation:
Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
From definition:
Replacing: