If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

H is the circumcenter of triangle BCD

CD = 2FD = 2*32 = 64
CE = BE = 26
HD = HC = 33
GD = 1/2BD = 1/2(58) = 29
HG = √HD ²-GD² = √33²-29² = 2√62 ≈ 15.75
HF = √HD ²-FD² = √33²-32² =√65 ≈ 8.06

You might be interested in

It takes serina 0.25 hours to drive to school. her route is 16.5 km long. what is serena’s average speed on her drive to school

Lelu [443]

Speed equals distance over time.

16.5 km/ 0.25 hrs= 66 km/hr

Final answer: 66 km/hr

7 0

3 years ago

Emily leaves her house at exactly 8:25

cluponka [151]

Yes, I think so because if it’s basically 8:30 and she is 3/4 miles away from her house, she is almost at school

4 0

3 years ago

Help please if anyone knows

larisa86 [58]

Part A
To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, $\frac{3}{5}$ and $\frac{2}{3}$ equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

Part B
To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

$1 \frac{3}{5} \\ \\ (5*1)+3 =8 \\ \\ \frac{8}{5} \\ \\ \\ \\ 1 \frac{2}{3} \\ \\ (3*1)+2=5 \\ \\ \frac{5}{3} 
$

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

$\frac{8}{5} *3 = \frac{24}{15} \\ \\ \frac{5}{3} *5 = \frac{25}{15}$

Now, we can simply add our numerators.

$25+24=49$

We know that he needs $\frac{49}{15}$ gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

$\frac{49}{15} \\ \\ 49 / 15 = 3(Remainder: 4) \\ \\ 3\frac{4}{15}$

Using that logic, we can see that the painter needs exactly $3 \frac{4}{15}$ gallons of paint.

4 0

3 years ago

Iona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7)

Olin [163]

Steps for multiplying the given binomial and trinomial $(2x-3)\times (5x^{2}-2x+7)$ are: