If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.
2 answers:
Draw a diagram (shown below as attachment)
check each option
1st one: obtuse triangle
osbuse means that the triangle has an angle more than 90 degrees
remember that all angles add to 180
90 is one
90+D+F=180
D+F=90
so those 2 mystery angles both have to be less than 90 so therefor none of them can be obtuse
not 1st option
2nd: angle at D is acute
acute means less than 90
so we remember that
D+F=90
no angle can be 0 so let's say F is a very small number like 0.0001
then D would be 89.9999
still less than 90, it is acute
this 2nd optin is right
3rd: angle at F is obtuse
wrong, from 1st one, no obtuse angles
3rd option is wrong
4th: right triangle
duh, a right triangle has a right angle in it
90 degrees is a right angle
yes
4th optin is right
5th: D is obtuse
naw, fam. no obtuse angles here
the right answers are 2nd and 4th or
The angle at vertex D is acute and
Triangle DEF is a right triangle
check each option
1st one: obtuse triangle
osbuse means that the triangle has an angle more than 90 degrees
remember that all angles add to 180
90 is one
90+D+F=180
D+F=90
so those 2 mystery angles both have to be less than 90 so therefor none of them can be obtuse
not 1st option
2nd: angle at D is acute
acute means less than 90
so we remember that
D+F=90
no angle can be 0 so let's say F is a very small number like 0.0001
then D would be 89.9999
still less than 90, it is acute
this 2nd optin is right
3rd: angle at F is obtuse
wrong, from 1st one, no obtuse angles
3rd option is wrong
4th: right triangle
duh, a right triangle has a right angle in it
90 degrees is a right angle
yes
4th optin is right
5th: D is obtuse
naw, fam. no obtuse angles here
the right answers are 2nd and 4th or
The angle at vertex D is acute and
Triangle DEF is a right triangle
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Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
<h3>What are the conversions of the mixed number 2 and 7/9?</h3>To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:
2 and 7/9 = 2 + 7/9 = 2.7777.
To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:
Hence the numbers that are equivalent to 2 and 7/9 are given by:
25/9 and 2.777.
More can be learned about conversions of mixed numbers at brainly.com/question/21610929
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