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bonufazy [111]
3 years ago
9

Ray BD bisects ∠ABC so that m∠DBC = (x + 7) and m∠ABD = (2x − 11). What is x? A. 6 B. 18 C. 29 D. 54

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Here, we want to the find the value of the x.

By bisecting the angle, the ray in question divides it into two other angles which are equal.

We proceed as follows;

x + 7 = 2x -11

Collect like

terms

2x -x = 7 + 11

x = 18

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2 years ago
Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Write an equation using the Pythagorean Theorem to find the value of x.  

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Answer:

Ava's feet is 17ft away from the balloon

Step-by-step explanation:

Given

height = 8ft

distance = 15ft

The attached image represents the scenario

Using Pythagoras theorem (from the attachment), we have:

x^2 = 8^2 + 15^2

x^2 = 64 + 225

x^2 =289

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6 0
3 years ago
Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles
nasty-shy [4]

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

6 0
3 years ago
Fifty trees grow in a forest. Workers cut down 23 of the trees. Then they plant 38 new ones. After all the cutting and planting,
ololo11 [35]

Answer:

Option A. 65 trees

Step-by-step explanation:

From the question given:

50 trees was in the forest. Then 23 of them were cut down.

The remaining trees = 50 — 23 = 27 trees.

Now 38 new trees were plant.

Total trees after cutting and planting = 27 + 38 = 65 trees

8 0
3 years ago
Read 2 more answers
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