All categories

3 years ago

Given RST~ ABC find value of x.

Mathematics

1 answer:

iragen [17]3 years ago

8 0

$x + 6 = 2x - 7$

subtract x to both sides

$6 = x - 7$

add 7 to both sides

$13 = x$

Check:

$x + 16$

$(13) + 6 = 19$

$2x - 7$

$2(13) - 7 = 26 - 7 = 19$

19=19

You might be interested in

Kayla wants to find the width, AB, of a river. She walks along the edge of the river 65 ft and marks point C. Then she walks 25

AlladinOne [14]

Answer:

Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles

Part B) The width of the river is about $39\ ft$

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Part A) we know that

In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent

m<DCE=m<ACB -----> by vertical angles

m<EDC=m<ABC -----> is a right angle

m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees

Part B) we know that

The triangles ABC and EDC are similar -------> see Part A

therefore

$\frac{BC}{DC}=\frac{AB}{DE}$

substitute the values and solve for AB

$\frac{65}{25}=\frac{AB}{15}$

$AB=15*(\frac{65}{25})=39\ ft$

8 0

3 years ago

The quotient of a number and 2<br>

alexgriva [62]

Answer:

what is the question?

Step-by-step explanation:

.????

4 0

3 years ago

Suppose we wish to construct, using compass and straightedge, angle DAE congruent to angle DBC. Which step would be correct to d

Dafna1 [17]

Answer:

first you need to place a point for the vertex of the new angle. then take the compass and place it on the vertex of angle DBC and draw a circle around it. without adjusting the compass, move it to the vertex that you had placed and draw the same size circle around it. Draw a base line for the new angle . Then go to the point of intersection on angle DBC where the circle intersects both of the sides. place your compass on both intersection points. move that to the point of intersection on the new angle and draw a circle. then connect the points.

5 0

3 years ago

Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.

Amanda [17]

Answer:

The Least Common Multiple of 6, 8,9,12 = 72

So, total no. of packages = 12+9+8+6=35

No. of juice boxes = 8

3 0

4 years ago

Help please much appreciated

larisa [96]

The answer is a.........

6 0

3 years ago

Read 2 more answers