Answer:
7.14
Step-by-step explanation:
Step-by-step explanation:
2x(squared)+9x+9=—1
2x(squared)+9x+9+1=0
2x(squared)+9x+10=0
multiply the coefficient of x and 10=2x10=20
2x(squared)+9x+10=0
look for two numbers that when added gives 9and when multiplied gives 20
2x(squared)+5x+4x+10=0
(2x(squared)+5x)+(4x+10)=0
find the number and letters that are common in the equations
x(2x+5)+2(2x+5)=0
(x+2) (2x+5)=0
x+2=0
collect like terms
x=0-2
x=-2
2x+5=0
collect like terms
2x=0-5
2x=-5
divide both sides by 2
2x/2=-5/2
x=-5/2
so x=-2 and -5/2
From the list, the only region that has a population with seven as the power of ten is Oceania.
<h3>What is the meaning of "the power of ten"?</h3>
In mathematics, large numbers are often expressed as the power of ten. For example 6500 can be expressed as 65 x 10^2 as the exponent (2) indicates the number of zeros.
<h3>What region has a population with seven as the power of ten?</h3>
From the options, the only region that has as a exponent the number seven is Oceania.
Note: This question is incomplete; here is the missing information:
- In the introduction, we looked at the human populations of different geographic groups. There are about 1 x 10^9 people in Africa, 4.2 x 10^9 in Asia, 7.4 x 10^8 in Northern America, 3.7 x 10^7 in Oceania, and 6 x 10^8 in Latin America and the Caribbean.
Learn more about exponent in: brainly.com/question/5497425
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Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }

Cross multiply
EF * 15 = 27 * 7.5

EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles


AC = 37.5 cm