Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
Answer:
5.7
Step-by-step explanation:
sine cosine tangent
soh cah toa
sine = opposite/hypotenuse
so sin(35)= x/10
you can multiply 10 to both sides to get rid of the 10 denominator on the right leaving you with 10sin(35)=x
be sure your calculator is in degrees.
put that into a calculator leaving you with 5.7
We have to round the value of 0.1561 to the nearest tenth.
The number after decimal is the number at tenth place. Consider the number to the right of the tenths place and use the number to determine if you will round up or stay the same. Notice that the number to the right of tenth place is more than or equal to 5 or less than 5. If that number is greater than or equal to 5, then the number will round up but if that number is less than 5, then the number will not round up. It will remain same.
Let us consider the given number 0.1561
The number at tenths place is 1
The number after the tenths place is 5 (which is either greater than or equal to 5)
So, the number will round up to 0.2
Answer:
Step-by-step explanation:
<u>Consider the parent function:</u>
The graph of the function open up and the vertex is at the origin, the point (0, 0)
Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:
The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:
<u>Since all the options have 1/20 as a coefficient, our function is:</u>
This is option B
Answer:
m∠A = 59°
Step-by-step explanation:
Supplementary angles mean that, when the two are combined, their total measurement will equal 180°.
It is given that one of the angles is 121°. Subtract 121 from 180:
180 - 121 = 59
m∠A = 59°
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