Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
Answer:
150 units³
Step-by-step explanation:
l * w * h = volume, so...
10*5*3 = volume
150 = volume
m∠FDE = 52°
Solution:
Given data:
DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠ABF + m∠CBF = 180°
116° + m∠CBF = 180°
m∠CBF = 64°
If CD || BE, then CD || BF.
Hence CD || BE and BE || FD.
Therefore BFCD is a parallelogam.
<em>In parallelogram, Adjacent angles form a linear pair.</em>
m∠CBF + m∠BFD = 180°
64° + m∠BFD = 180°
m∠BFD = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠BFD + m∠DFE = 180°
116° + m∠DFE = 180°
m∠DFE = 64°
we know that DE ≅ DF.
<em>In triangle, angles opposite to equal sides are equal.</em>
m∠DFE = m∠DEF
m∠DEF = 64°
<em>sum of all the angles of a triangle = 180°</em>
m∠DFE + m∠DEF + m∠FDE = 180°
64° + 64° + m∠FDE = 180°
m∠FDE = 52°
we know that
In the right triangle ABC
∠∠ ------> by complementary angles
so
Step
Find the measure of angle B
we know that
in this problem
so
Step
Find the measure of angle A
therefore
the answer is the option
35.5° and 54.5°
Answer:
I have uploaded a picture so you could understand it a little more.
A linear function is when there is a table that gives numbers that represent a function, as shown in the picture.
In the Image, there is a table with a x and y column. And in both columns, there are numbers.
This is what the table looks like in the picture:
<u> x y </u>
0 4 The key is y = 2x + 4
1 6 <------ lets grab the number 1 in the x column and lets
2 8 multiply it by two. Now add four to it, and we will
3 10 have the number 6 in the y column.
4 12
I hope I helped you! God bless :-)