1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adell [148]
3 years ago
11

Figure 1 is congruent to Figure 2.

Mathematics
2 answers:
Tanzania [10]3 years ago
7 0

Answer:

E. 5 cm.

Step-by-step explanation:

As the 2 figures are congruent then corresponding sides are congruent.

NP corresponds to UT = 5 cm.

So NP is  5cm long.

(If we rotate  Figure 2 through 180 degrees anticlockwise we see that it fits exactly on to figure 1.)

Fofino [41]3 years ago
4 0

Answer:

E.) 5 cm

Step-by-step explanation:

The shapes are congruent and are the same size,  side <u>TU </u> is the same as <u>NP</u>. If <u>TU </u>is 5, then <u>NP </u>is 5.

You might be interested in
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monu
Leokris [45]

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

8 0
3 years ago
Which angles are vertical to DEA? Question is located in the attached file (image)​
ValentinkaMS [17]

Answer:

∠CEB

Step-by-step explanation:

The vertical angle is one that is directly <em>opposite</em> to the original angle. In this image of two intersecting lines, it looks like the angle ∠CEB is directly across from our angle ∠DEA. So, the angle ∠CEB is <em>vertical to</em> ∠DEA.

Hopefully that was helpful! :)

3 0
2 years ago
Which calculation and answer show how to convert to a decimal 13/16?!!!! will give brainliest.​
docker41 [41]
Divide 13 by 16. A fraction represents a division problem. 5/10 is 5 divided by 10 or 0.5 or 50%. Hope this helps
8 0
3 years ago
Read 2 more answers
Can someone please help me with this asap I'm being timed ​
NikAS [45]

Answer:

A, C, and D.

Step-by-step explanation:

The other does not go through the origin, therefore it is not proportional.

7 0
3 years ago
The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by
adoni [48]

Answer:

670 animals

Step-by-step explanation:

First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).

218 = rounds up = 220

454 = rounds down = 450

Finally, add the rounded numbers together.

220 + 450 = 670

The zoo has approximately 670 animals.

5 0
3 years ago
Other questions:
  • HURRY STRANGERS PLEASE I REALLY NEED THIS!!! A paper manufacturer is evaluating their packing procedures. Currently, they packag
    11·1 answer
  • This data represents the number of oil changes completed each day last week at Jeff's Auto Center. 19, 16, 24, 12, 16, 21, 18 Wh
    6·1 answer
  • Rewrite the equation in vertex form. y = x2 - 6x + 18
    10·2 answers
  • The location of a dolphin in relation to the surface of the sea, h(x), over time, x, in seconds, for 5 seconds can be modeled by
    12·1 answer
  • Paul has a number of counters two less than seven Draw the counters in the frame.
    14·2 answers
  • The population growth of two towns over a period of five years is represented by the system of equations below, both algebraical
    9·1 answer
  • How do I solve and what's the answer?
    11·1 answer
  • Plz help me well mark brainliest if you are correct!.
    11·2 answers
  • A school has all of the students in grade 8 take a math test. Several samples are taken from the results. Which of the following
    9·1 answer
  • Six times a number plus 7 is equal to 55. What is the number?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!