Ok so the lines with two triangles are parralel to eachother. The lines with one are parallel to eachother.
The angle of 109° and angle of z° equal eachother. Z=109°
Since 109°, 33° and y° form a triangle, the sum of the angles will equal 180. Add 109 and 33 to get 142. Subtract 142 from 180 to get y°=38°.
Since z=109, this means that the triangle is congruent with the other. Since the congruent triangles are in a rhombus, then the angles are flipped. Thus, angle x =33°.
z=109°
y=38°
x=33°
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
<span><span><span>−5</span>+s</span>><span>−1
</span></span>Step 1: Simplify both sides of the inequality.
<span><span>s−5</span>><span>−1
</span></span>Step 2: Add 5 to both sides.
<span><span><span>s−5</span>+5</span>><span><span>−1</span>+5
</span></span><span>s>4
</span>Answer:<span>s><span>4
hope this helps!</span></span>
Answer: Jan now has 27 model airplanes.
Step-by-step explanation: The starting figure is 25 model airplanes and this year she has 32% more than she started with. We shall first find out how many that turned out to be. Let the current number of model airplanes be X.
X = 25 + 32%
[To calculate 32% of 25
25 x 32/100
(25 x 32)/100
800/100
8]
X = 25 + 8
X = 33
Now she has 33 model airplanes and she gave out 6 of these to her brother, then she finally has left with her, 33 minus 6 which equals 27.
Jan now has 27 model airplanes left
Answer:
Step-by-step explanation:
axiom goes with a given definition assumed to be true
theorem goes with a logical argument showing that a theorem is true
proof is a statement that requires proof
