<em>Two </em>or <u>more</u> triangles are said to be congruent if and only if they have <u>equal</u> lengths of <em>sides</em> and <u>equal</u> measures of <em>angles</em>.
Thus, the required <u>proof</u> is as shown below:
<u>STATEMENTS </u> <u>REASONS</u>
1. ΔABC and ΔDEC with AB ≅ DE;
BC ≅ EC; <1 ≅ <2 Given
2. <1 and < ABC; < 2 and <DEC are sup <u>Sum</u> of angles on a <em>straight </em>line
3. <ABC ≅ <DEC <em>Congruent</em> angles of <u>similar</u> triangles
4. ∴ΔABC ≅ ΔDEC <em>Side-Angle-Side</em> (SAS) postulate
5. ∴<ACB ≅ <DCE CPCTC postulate
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1675117
#SPJ1
Answer: 0.42 and 5 outcomes.
Step-by-step explanation:
i guess that carlos has a fair coin and a number cube.
the probability can be calculated as the number of outcomes that we want divided the total number of outcomes.
The coin has two possible outcomes, heads and tails, then the probability of getting heads is p1 =1/2
the number cube has 6 numbers, 5 of those 6 numbers are greater than 1, then the probability of getting a number greater than 1 is p2 =5/6
the joint probability is the product of those two:
P = 1/2*5/6 = 5/12 = 0.42
The combinations that include heads and number greater than 1 are 5 combinations:
Heads and 2
Heads and 3
Heads and 4
Heads and 5
Heads and 6.
Answer:
3.7001 × 10 to the power of 4 is the answer for #1
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.