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ololo11 [35]
3 years ago
15

Estimate the measure of ∠DBC.Could someone please help me with this?

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

Option (4). 135°

Step-by-step explanation:

From the figure attached,

Two pair of vertical angles have been given,

∠ABD and ∠CBE

∠ABE and ∠CBD

One pair of angles ∠ABD and ∠CBE are acute angles which are less than 90°.

Similarly, other pair ∠ABE and ∠DBC are obtuse angles which are more than 90°.

Therefore, out of the given options measure of one pair ∠DBC and ∠ABE should be 135°.

Option (4) will be the answer.

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Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

5 0
3 years ago
Whats the mean,median,mode,range for 86,90,93,85,79,and 92
Tasya [4]
Mean 87.5
Median 88
Range 14
and Mode All values appeared just once
6 0
3 years ago
Determine whether (18 + 35) × 4 = 18 + 35 ×4 is true or false. explain
fomenos
The first one  is 212 
and the second one is 158
so yes it is false they do not equal

6 0
3 years ago
Lisa ran 1/2 of a mile John R and 242 Mi what's girl ran further
julia-pushkina [17]

The fraction that has been given illustrates that the person who ran further is Jane.

<h3>How to solve fraction</h3>

Your information isn't complete. Therefore, an overview of the fraction will given.

Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/4 of a mile. In order to know who ran more, you can convert the fraction to percentage.

This will be:

Lisa = 1/2 × 100 = 50%

Jane = 3/4 × 100 = 75%

Therefore, Jane ran more.

Learn more about fractions on:

brainly.com/question/78672

4 0
2 years ago
if two angle are supplementary, then they have a sum of 180.is the inverse true?​ help me plsssssssss
allsm [11]
Yes the inverse is true
4 0
3 years ago
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