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Ivenika [448]
3 years ago
6

What’s the measure of angle X?

Mathematics
1 answer:
Arada [10]3 years ago
4 0

Answer:

x = 84°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

129° is an exterior angle of the triangle, thus

x + 45° = 129° ( subtract 45° from both sides )

x = 84°

The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is

let h be the height of the tree, then

\frac{h}{7} = \frac{50}{10} = 5 ( multiply both sides by 7 )

h = 35

The height of the tree is 35 ft

You might be interested in
Can the measurement from △DEF be determined using only the Law of Cosines? State whether each measurement can be determined usin
quester [9]

9514 1404 393

Answer:

  • ∠D - no
  • ∠E - no
  • DE - yes

Step-by-step explanation:

With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.

However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.

So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.

7 0
3 years ago
Help me please !!!!!!
Tanya [424]
#2: 4 cans : $2.36 =  13 : $7.67  SCALE FACTOR: $7.67 divided by $2.36 = 3.25
                                                 Use the SF to multiply the missing information.
                                                 So 4 cans x 3.25 = 13
 
YOU CAN BUY 13 CANS FOR $7.67

#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes =   :     : 35 pancakes
                                             
SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7

7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES

#6: 54 pounds: 1 acre = pounds: 12.5 acres

SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds

THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD

#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours) 

SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
So, 120 minutes multiplied by 2.5 = 300 minutes (5 hours)

IT WILL TAKE 5 HOURS TO DRIVE 225 MILES
4 0
3 years ago
What is the answer to this problem?
poizon [28]
The answer is B.

(0 less than or equal to y less than or equal to 9)
3 0
3 years ago
a sequence is defined by ths formula (n+1)=f(n)+3 the first term of the sequence is -4 what is the next term in the sequence
jenyasd209 [6]
How I understand from your writing next term is equal previous plus 3,
if 1st is  -4, then next (second) should be -4+3= -1
6 0
3 years ago
Emma puts $1000 in a savings account that pays 4% interest, compounded monthly. How much money will be in the account 3 years la
lorasvet [3.4K]

Answer:

Option A. \$1,127.27  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$1,000\\ r=0.04\\n=12  

substitute in the formula above  

A=\$1,000(1+\frac{0.04}{12})^{12*3}=\$1,127.27  

6 0
3 years ago
Read 2 more answers
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