All categories

3 years ago

Finding missing angles

Mathematics

1 answer:

Bingel [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Since we see the whole angle is 90° and it's split into two smaller angles, 7x° and 11x°, then we can conclude that 7x°+11x°=90°

*And x=5

You might be interested in

What is the percent of increase from 40.2 to 98.9?

alekssr [168]

Answer:

146%

Step-by-step explanation:

To find the percent increase/decrease:

1. Subtract the original value from the new value.

2. Divide by the original value.

3. Multiply the decimal by 100 to convert to a percent.

98.9 - 40.2 = 58.7

58.7/40.2 = 1.46

1.46*100 = 146%

8 0

3 years ago

5 and X. X is a 1-digit number. X is not 1. What number is X?

lesantik [10]

Answer:

X could be 2, 3, 4, 5, 6, 7, 8, or 9.

So, your final answer could be either 52, 53, 54, 55, 56, 57, 58, or 59.

6 0

1 year ago

Please show work for both problems

sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

$5x+15=6x-10$

Subtracting 5x from both sides, we have

$15=x-10$

Adding 10 to both sides , we have,

$25=x$

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

$2x+14+x+7=90$

Simplifying, we get,

$3x+21=90$

$3x=69$

$x=23$

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

$2x+14=2(23)+14=46+14=60$

Thus, the measure of ∠CBD is 60°

5 0

3 years ago

Trapezoid MNPQ is similar to Trapezoid RSTU. What is the length of the "x" on the misside side NP ? Also, what is the length of

ivolga24 [154]

Answer:

$x = 15$

$y = 25$

Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

$MN : RS$

$NP : ST$

$PQ : TU$

$MQ : RU$

From the attachment, we have:

$MN : RS \to 18 : 30$

$NP : ST \to x : 25$

$PQ : TU \to 15 : y$

To solve for x, we equate $MN : RS$ and $NP : ST$

$18 : 30 = x : 25$

Express as fraction

$\frac{18 }{ 30 }= \frac{x }{ 25}$

Make x the subject

$x = 25 * \frac{18 }{ 30 }$

$x = \frac{25 * 18 }{ 30 }$

$x = \frac{450}{ 30 }$

$x = 15$

To solve for y, we equate $MN : RS$ and $PQ : TU$

$18 : 30 = 15 : y$

Express as fraction

$\frac{18 }{ 30 }= \frac{15 }{ y}$

Make y the subject

$y = 15 * \frac{30 }{ 18 }$

$y = \frac{15 *30}{ 18 }$

$y = \frac{450}{ 18 }$

$y = 25$

8 0

3 years ago

Question 11 (2.5 points)

Rama09 [41]

Answer:

Step-by-step explanation:

The answer is d, because a represents adults, and c represent children. It's $45 per adult, so $45a, and $30 per child, so $30c. a+c is equal to 10, because that's how many tickets were purchased. $45a+$30c=345, because $345 is the total amount spent on tickets.

3 0

3 years ago