Answer:
34 goes in the blank.
Step-by-step explanation:
Triangle ABC is congruent to triangle TUV implies the following:
Angle A is congruent to angle T.
Angle B is congruent to angle U.
Angle C is congruent to angle V.
Side AB is congruent to side TU.
Side BC is congruent to side UV.
Side CA is congruent to side VT.
Note: Order tells you everything in a congruence statement.
Since side BC is congruent to UV, then the measure of side BC is equal to the measure of side UV.
8x+2=7x+6
Subtract 7x on both sides:
1x+2=6
x+2=6
Subtract 2 on both sides:
x=6-2
x=4
So if x=4, then the measure of side BC is 8x+2=8(4)+2=32+2=34.
So the measure of BC is 34 cm.
Answer:
<h3>
HJ = 15</h3>
Step-by-step explanation:
To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²+(y₂-y₁)²
From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5
HJ = √(8-(-1))²+(-5-7)²
HJ = √(8+1)²+(-12)²
HJ = √81+144
HJ = √225
HJ = 15
<em>Hence the length of segment HJ is 15 units</em>
So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83
83+2 is 85
so the product is the two numbers multiplied together which is 166</span>
Answer:
Height is 10 units
Volume is 785 cubic units
Step-by-step explanation:
We are given;
Diameter of a cylinder as 10 units
But, radius = d/2
= 5 units
Height is twice its radius,
Thus, Height = 10 units
We can get the volume;
Volume of a cylinder = pir²H
Taking pi to be 3.14
Then;
Volume = 3.14 × 5²× 10
= 785 cubic units
Thus, the volume of the cylinder is about 785 cubic units
