Answer: ↓↓↓Btw sorry its not in order
Step-by-step explanation:
m∠62 and ∠g are vertical angles so they're congruent.
∠g = 62°
∠f and m∠62 are linear pairs so they're supplementary
∠f + 62 = 180
∠f = 118°
∠e is a right angle and is supplementary to a 90° angle
∠e = 90°
Adding ∠e, m∠28° and the missing angle should sum up to 180° since its a triangle. x = missing angle
x + ∠e + m∠28 = 180°
x + 90 + 28 = 180
x + 118 = 180
x = 62°
∠h ≅ x
∠h ≅ 62
∠h = 62°
∠b and m∠28 are vertical angles so they're congruent.
∠b ≅ m∠28
∠b = 28°
∠b and ∠a are linear pairs so they are supplementary.
∠a + ∠b = 180
∠a + 28 = 180
∠a = 152°
∠c and ∠a are corresponding angles so they're congruent.
∠c ≅ ∠a
∠c ≅ 152
∠c = 152°
∠c and ∠j are vertical angles so they're congruent.
∠j ≅ ∠c
∠j ≅ 152
∠j = 152°
The corresponding angle of c is 152° as well. Let's call it y. Y corresponds to the angle with a bisector. Call that whole angle z.
z ≅ y
z ≅ 152
z = 152°
Z has a bisector meaning the two angles that formed because of the bisector are congruent.
∠d and the other angle add up to 152°. They're equal.
∠d = 152 ÷ 2
∠d = 76°
Hope I helped!
That is correct, however, you need to keep in mind that each bacteria created will multiply the same way the original does, so you have exponential growth
f(x) as a linear equation:
gradient = (12-4)/(4-2) = 4
y - 4 = 4(x - 2)
y = 4x - 4
Therefore f(x) = 4x - 4
g(x) = 10x - 4
Since it already started at 10 and it increases by one every level (x):
h(x) = x + 10
Therefore, since g(x) has the largest gradient (10x), it has the largest slope
Answer:
2765
Step-by-step explanation:
5x500=2500
5x50=250
5x3=15
2500+250+15=2765
Triangle ABC has:
∡ABC = 90°
∡BAC = 45°
Therefore also ∡BCA = 45°
This means that ABC is isosceles and that each leg is:
l = √2/2 · h
Since the hypotenuse of ABC is AC = 6√2
BC = √2/2 · <span>6√2 = 6
Now, consider the triangle BCD:
</span>∡BDC = 90°
∡DBC = 60°
which means that: ∡BCD = 30°
In such triangles, the side opposite to the angle of 30° is 1/2 · h
Since the hypotenuse is BC = 6, we have:
BD = <span>1/2 </span>· 6 = 3
Hence, x = 3
