Answer:
x=33
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Step-by-step explanation:
Angles 7 and 8 are supplementary because they share a common vertex while laying on a line.
That is the measurement of angles 7 and 8 add up to be 180.
mAngle7+mAngle8=180
(2x+15) + (3x ) =180
2x+15 + 3x =180
Combine like terms:
5x+15 =180
Subtract 15 on both sides:
5x =180-15
Simplify right hand side:
5x = 165
Divide both sides by 5:
x =165/5
Simplify right hand side:
x =33
The measure of angle 7 is 2x+15=2(33)+15=66+15=81.
The measure of angle 8 is 3x=3(33)=99.
Recall vertical angles are congruent.
5 and 7 are vertical so the measure of angle 5 is 81.
6 and 8 are vertical so the measure of angle 6 is 99.
Measure of angle 5=81
Measure of angle 6=99
Measure of angle 7=81
Measure of angle 8=99
Answer:
Prior to the innovations of present day times to disentangle correspondence and transportation, roadways were the foundation of accomplishment and accommodation. For the Roman Empire particularly, roadways actually prepared to one of the biggest and best domains ever. Basic soil streets that would have fulfilled the necessities to little networks could never again continue the requirements of the consistently developing domain. As war filled the Roman economy, colossal assets were put towards building streets for the Roman armed forces, enabling them to move over the domain with productivity and ease. As progressively paved, direct courses rose, their quality got crucial to interface individuals now part of expanding measure of room. At its top, there were more than 80,000 km of street extended over its spread (DeSoto, 2012). When the streets were manufactured, they could be utilized for different methods, for example, transportation of business and openness that were of the utmost importance in keeping up the realm. The methods through which these roadways were assembled and utilized enabled the domain to venture into the one caught wind of today and could be constantly utilized a while later to help its huge populace. The degree of these roadway frameworks in the realm can be seen above in Figure 1. This article will assess the Roman street system, how and why it was framed, and its utilization and effect on the Roman Empire.
Step-by-step explanation:
Answer:
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I really don't get the question
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Answer:
A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.
They can use any of the mathematical operations so addition, subtraction, multiplication and division
Number sentences can be true or false. Example, 5 + 7 = 13
<em>good luck, i hope this helps :)</em>
The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95
We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.
Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.
Answer: 54 students are left after 12 months.
