Answer:
The answer to your question is A) they are similar because of AA criterion
Step-by-step explanation:
- ∠ QYP is ≅ to ∠ DNP given
- ∠ QPN is ≅ to ∠ DPN vertical angles
- ∠ YQP is ≅ to ∠ NDP if two angles are congruent third angle
is also congruent.
Conclusion
ΔYPQ is similar to ΔNPD because of AA similarity.
Answer:
The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner
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I think that she could buy 3 tubes of paint because that's $25.50 and that gives you 28.50 for the canvas.
Answer:
There are 2.22 grams of clay are in each pot.
Step-by-step explanation:
Given:
Dakota has 4/10 kg of clay. He divides the clay to make 888 equal-sized pots.
Now, to find the number of grams of clay are in each pot.
Dakota has clay =
So, by using conversion factor we convert it into grams:
Quantity of clay he has = 400 grams.
Number of equal-sized pots to make = 888.
Now, to get the quantity of grams of clay are in each pot we divide number of equal-sized pots to make by quantity of clay he has:
Therefore, there are 2.22 grams of clay are in each pot.
Answer:
The circumference formula for a circle is C=πd where C is the circumference, d is the diameter of the circle and π is a constant. If you plug in 6 for C and solve the equation for d like:
6= πd and then divide both sides of the equation by π you get that d = 1.90
To find the central angle of an arc you would use the equation S = rθ where S is the length of the arc, r is the radius of the circle, and θ is the measure of the angle which in this case is unknown. So with S = 1 and r = d/2 = 1.90/2 = 0.9549 you would have an equation that looks like this:
1 = 0.9549θ.
If you divide both sides of the equation by 0.9549 you get θ = 1.047197 radians.
The question asked for the angle measure in degrees so you would need to convert the angle measure to degrees by multiplying the degree measurement by 180/π
1.047197 x 180/π = 60°